Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. (English) Zbl 07305924 SIAM J. Optim. 31, No. 1, 114-141 (2021). MSC: 14P10 90C22 12D15 12Y05 PDF BibTeX XML Cite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 114--141 (2021; Zbl 07305924) Full Text: DOI
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard TSSOS: a moment-SOS hierarchy that exploits term sparsity. (English) Zbl 07305921 SIAM J. Optim. 31, No. 1, 30-58 (2021). MSC: 14P10 90C22 12D15 12Y05 PDF BibTeX XML Cite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 30--58 (2021; Zbl 07305921) Full Text: DOI
Wang, Zhiqiang; Jiang, Kan; Li, Wenxia; Zhao, Bing On the sum of squares of the middle-third Cantor set. (English) Zbl 1450.28011 J. Number Theory 218, 209-222 (2021). Reviewer: Peter Massopust (München) MSC: 28A80 11K55 PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Number Theory 218, 209--222 (2021; Zbl 1450.28011) Full Text: DOI
Khandeev, Vladimir; Panasenko, Anna Exact algorithm for the one-dimensional quadratic Euclidean cardinality-weighted 2-clustering with given center problem. (English) Zbl 07315669 Kochetov, Yury (ed.) et al., Mathematical optimization theory and operations research. 19th international conference, MOTOR 2020, Novosibirsk, Russia, July 6–10, 2020. Revised selected papers. Cham: Springer (ISBN 978-3-030-58656-0/pbk; 978-3-030-58657-7/ebook). Communications in Computer and Information Science 1275, 30-35 (2020). MSC: 90 68 91 PDF BibTeX XML Cite \textit{V. Khandeev} and \textit{A. Panasenko}, Commun. Comput. Inf. Sci. 1275, 30--35 (2020; Zbl 07315669) Full Text: DOI
Guo, Feng; Sun, Xiaoxia Semidefinite programming relaxations for linear semi-infinite polynomial programming. (English) Zbl 07313907 Pac. J. Optim. 16, No. 3, 395-418 (2020). MSC: 65K05 90C22 PDF BibTeX XML Cite \textit{F. Guo} and \textit{X. Sun}, Pac. J. Optim. 16, No. 3, 395--418 (2020; Zbl 07313907) Full Text: Link
Cen, Xiaoli; Xia, Yong Globally maximizing the sum of squares of quadratic forms over the unit sphere. (English) Zbl 07311795 Optim. Lett. 14, No. 7, 1907-1919 (2020). MSC: 90C PDF BibTeX XML Cite \textit{X. Cen} and \textit{Y. Xia}, Optim. Lett. 14, No. 7, 1907--1919 (2020; Zbl 07311795) Full Text: DOI
Gan, Ting; Xia, Bican; Xue, Bai; Zhan, Naijun; Dai, Liyun Nonlinear Craig interpolant generation. (English) Zbl 07306421 Lahiri, Shuvendu Kumar (ed.) et al., Computer aided verification. 32nd international conference, CAV 2020, Los Angeles, CA, USA, July 21–24, 2020. Proceedings. Part I. Cham: Springer (ISBN 978-3-030-53287-1/pbk; 978-3-030-53288-8/ebook). Lecture Notes in Computer Science 12224, 415-438 (2020). MSC: 68Q60 PDF BibTeX XML Cite \textit{T. Gan} et al., Lect. Notes Comput. Sci. 12224, 415--438 (2020; Zbl 07306421) Full Text: DOI
Wang, Jie; Magron, Victor A second order cone characterization for sums of nonnegative circuits. (English) Zbl 07300104 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-7100-1). 450-457 (2020). MSC: 68W30 PDF BibTeX XML Cite \textit{J. Wang} and \textit{V. Magron}, in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 450--457 (2020; Zbl 07300104) Full Text: DOI
Chen, Sitan; Li, Jerry; Moitra, Ankur Efficiently learning structured distributions from untrusted batches. (English) Zbl 07298302 Makarychev, Konstantin (ed.) et al., Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC ’20, Chicago, IL, USA, June 22–26, 2020. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-6979-4). 960-973 (2020). MSC: 68Qxx PDF BibTeX XML Cite \textit{S. Chen} et al., in: Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC '20, Chicago, IL, USA, June 22--26, 2020. New York, NY: Association for Computing Machinery (ACM). 960--973 (2020; Zbl 07298302) Full Text: DOI
Mohanty, Sidhanth; Raghavendra, Prasad; Xu, Jeff Lifting sum-of-squares lower bounds: degree-2 to degree-4. (English) Zbl 07298292 Makarychev, Konstantin (ed.) et al., Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC ’20, Chicago, IL, USA, June 22–26, 2020. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-6979-4). 840-853 (2020). MSC: 68Qxx PDF BibTeX XML Cite \textit{S. Mohanty} et al., in: Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC '20, Chicago, IL, USA, June 22--26, 2020. New York, NY: Association for Computing Machinery (ACM). 840--853 (2020; Zbl 07298292) Full Text: DOI
Cherapanamjeri, Yeshwanth; Hopkins, Samuel B.; Kathuria, Tarun; Raghavendra, Prasad; Tripuraneni, Nilesh Algorithms for heavy-tailed statistics: regression, covariance estimation, and beyond. (English) Zbl 07298273 Makarychev, Konstantin (ed.) et al., Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC ’20, Chicago, IL, USA, June 22–26, 2020. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-6979-4). 601-609 (2020). MSC: 68Qxx PDF BibTeX XML Cite \textit{Y. Cherapanamjeri} et al., in: Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC '20, Chicago, IL, USA, June 22--26, 2020. New York, NY: Association for Computing Machinery (ACM). 601--609 (2020; Zbl 07298273) Full Text: DOI
Sokolov, Dmitry (Semi)algebraic proofs over \(\{\pm 1\}\) variables. (English) Zbl 07298232 Makarychev, Konstantin (ed.) et al., Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC ’20, Chicago, IL, USA, June 22–26, 2020. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-6979-4). 78-90 (2020). MSC: 68Qxx PDF BibTeX XML Cite \textit{D. Sokolov}, in: Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC '20, Chicago, IL, USA, June 22--26, 2020. New York, NY: Association for Computing Machinery (ACM). 78--90 (2020; Zbl 07298232) Full Text: DOI
Alekseev, Yaroslav; Grigoriev, Dima; Hirsch, Edward A.; Tzameret, Iddo Semi-algebraic proofs, IPS lower bounds, and the \(\tau\)-conjecture: can a natural number be negative? (English) Zbl 07298230 Makarychev, Konstantin (ed.) et al., Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC ’20, Chicago, IL, USA, June 22–26, 2020. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-6979-4). 54-67 (2020). MSC: 68Qxx PDF BibTeX XML Cite \textit{Y. Alekseev} et al., in: Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC '20, Chicago, IL, USA, June 22--26, 2020. New York, NY: Association for Computing Machinery (ACM). 54--67 (2020; Zbl 07298230) Full Text: DOI
Briat, C. Stability and \(L_1 \times \ell_1\)-to-\(L_1 \times \ell_1\) performance analysis of uncertain impulsive linear positive systems with applications to the interval observation of impulsive and switched systems with constant delays. (English) Zbl 07290314 Int. J. Control 93, No. 11, 2634-2652 (2020). MSC: 93D05 93C41 93C27 93C05 93C28 93C30 93C43 PDF BibTeX XML Cite \textit{C. Briat}, Int. J. Control 93, No. 11, 2634--2652 (2020; Zbl 07290314) Full Text: DOI
Ahbe, Eva; Iannelli, Andrea; Smith, Roy S. Region of attraction analysis of nonlinear stochastic systems using polynomial chaos expansion. (English) Zbl 1451.93407 Automatica 122, Article ID 109187, 10 p. (2020). MSC: 93E15 93C10 PDF BibTeX XML Cite \textit{E. Ahbe} et al., Automatica 122, Article ID 109187, 10 p. (2020; Zbl 1451.93407) Full Text: DOI
Ammar, Imen Iben; Gassara, Hamdi; El Hajjaji, Ahmed; Tadeo, Fernando; Chaabane, Mohamed Observer-based controller for positive polynomial systems with time delay. (English) Zbl 1451.93132 Optim. Control Appl. Methods 41, No. 1, 278-291 (2020). MSC: 93B53 93C28 93C43 PDF BibTeX XML Cite \textit{I. I. Ammar} et al., Optim. Control Appl. Methods 41, No. 1, 278--291 (2020; Zbl 1451.93132) Full Text: DOI
Legat, Benoît; Parrilo, Pablo; Jungers, Raphaël Certifying unstability of switched systems using sum of squares programming. (English) Zbl 1451.93307 SIAM J. Control Optim. 58, No. 4, 2616-2638 (2020). MSC: 93D20 93D30 90C90 PDF BibTeX XML Cite \textit{B. Legat} et al., SIAM J. Control Optim. 58, No. 4, 2616--2638 (2020; Zbl 1451.93307) Full Text: DOI
Goluskin, David Bounding extrema over global attractors using polynomial optimisation. (English) Zbl 07268438 Nonlinearity 33, No. 9, 4878-4899 (2020). MSC: 37M22 37C70 37C75 90C23 90C90 PDF BibTeX XML Cite \textit{D. Goluskin}, Nonlinearity 33, No. 9, 4878--4899 (2020; Zbl 07268438) Full Text: DOI
Paksoy, Vehbi Emrah A special cone construction and its connections to structured tensors and their spectra. (English) Zbl 1450.15024 Turk. J. Math. 44, No. 4, 1222-1237 (2020). MSC: 15A69 PDF BibTeX XML Cite \textit{V. E. Paksoy}, Turk. J. Math. 44, No. 4, 1222--1237 (2020; Zbl 1450.15024) Full Text: DOI
Lu, Linhong; Fu, Rong; Zeng, Jianping; Duan, Zhisheng On the domain of attraction and local stabilization of nonlinear parameter-varying systems. (English) Zbl 1451.93280 Int. J. Robust Nonlinear Control 30, No. 1, 17-32 (2020). MSC: 93D05 93C10 93B35 PDF BibTeX XML Cite \textit{L. Lu} et al., Int. J. Robust Nonlinear Control 30, No. 1, 17--32 (2020; Zbl 1451.93280) Full Text: DOI Link
Kala, Vítězslav; Yatsyna, Pavlo Sums of squares in \(S\)-integers. (English) Zbl 07258102 New York J. Math. 26, 1145-1154 (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E12 11R11 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, New York J. Math. 26, 1145--1154 (2020; Zbl 07258102) Full Text: Link
Behrends, Sönke; Schöbel, Anita Generating valid linear inequalities for nonlinear programs via sums of squares. (English) Zbl 07246148 J. Optim. Theory Appl. 186, No. 3, 911-935 (2020). MSC: 90C30 90C11 14P10 90C10 PDF BibTeX XML Cite \textit{S. Behrends} and \textit{A. Schöbel}, J. Optim. Theory Appl. 186, No. 3, 911--935 (2020; Zbl 07246148) Full Text: DOI
Akbari, S.; Maimani, H. R.; Parsaei Majd, Leila; Wanless, I. M. Zero-sum flows for Steiner systems. (English) Zbl 1447.05038 Discrete Math. 343, No. 11, Article ID 112074, 8 p. (2020). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05B07 05B05 05B15 PDF BibTeX XML Cite \textit{S. Akbari} et al., Discrete Math. 343, No. 11, Article ID 112074, 8 p. (2020; Zbl 1447.05038) Full Text: DOI
Bove, Antonio; Mughetti, Marco Gevrey regularity for a class of sums of squares of monomial vector fields. (English) Zbl 1448.35107 Adv. Math. 373, Article ID 107323, 35 p. (2020). Reviewer: Luigi Rodino (Torino) MSC: 35H10 PDF BibTeX XML Cite \textit{A. Bove} and \textit{M. Mughetti}, Adv. Math. 373, Article ID 107323, 35 p. (2020; Zbl 1448.35107) Full Text: DOI
Hur, Youngmi; Lubberts, Zachary Interpolatory tight wavelet frames with prime dilation. (English) Zbl 07242754 Appl. Comput. Harmon. Anal. 49, No. 3, 897-915 (2020). Reviewer: Hrvoje Šikić (Zagreb) MSC: 42C40 42C15 PDF BibTeX XML Cite \textit{Y. Hur} and \textit{Z. Lubberts}, Appl. Comput. Harmon. Anal. 49, No. 3, 897--915 (2020; Zbl 07242754) Full Text: DOI
Hopkins, Samuel B. Mean estimation with sub-Gaussian rates in polynomial time. (English) Zbl 07241586 Ann. Stat. 48, No. 2, 1193-1213 (2020). Reviewer: Pavel Stoynov (Sofia) MSC: 62H12 62G32 68W01 90C22 PDF BibTeX XML Cite \textit{S. B. Hopkins}, Ann. Stat. 48, No. 2, 1193--1213 (2020; Zbl 07241586) Full Text: DOI Euclid
El Khadir, Bachir On sum of squares representation of convex forms and generalized Cauchy-Schwarz inequalities. (English) Zbl 1440.14266 SIAM J. Appl. Algebra Geom. 4, No. 2, 377-400 (2020). MSC: 14P10 14N05 52A20 52A40 PDF BibTeX XML Cite \textit{B. El Khadir}, SIAM J. Appl. Algebra Geom. 4, No. 2, 377--400 (2020; Zbl 1440.14266) Full Text: DOI
Bian, Min; Chern, Shane; Sang, Doris D. M.; Xia, Ernest X. W. Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers. (English) Zbl 07219270 Int. J. Number Theory 16, No. 6, 1275-1294 (2020). MSC: 11D85 11E25 PDF BibTeX XML Cite \textit{M. Bian} et al., Int. J. Number Theory 16, No. 6, 1275--1294 (2020; Zbl 07219270) Full Text: DOI
Kurpisz, Adam; Leppänen, Samuli; Mastrolilli, Monaldo Sum-of-squares hierarchy lower bounds for symmetric formulations. (English) Zbl 1445.90056 Math. Program. 182, No. (1-2 (A)), 369-397 (2020). MSC: 90C05 90C22 PDF BibTeX XML Cite \textit{A. Kurpisz} et al., Math. Program. 182, No. (1--2 (A)), 369--397 (2020; Zbl 1445.90056) Full Text: DOI
de Klerk, Etienne; Kuhn, Daniel; Postek, Krzysztof Distributionally robust optimization with polynomial densities: theory, models and algorithms. (English) Zbl 07212155 Math. Program. 181, No. 2 (B), 265-296 (2020). MSC: 90C17 90C22 90C26 90C15 PDF BibTeX XML Cite \textit{E. de Klerk} et al., Math. Program. 181, No. 2 (B), 265--296 (2020; Zbl 07212155) Full Text: DOI
Després, Bruno; Herda, Maxime Computation of sum of squares polynomials from data points. (English) Zbl 07210679 SIAM J. Numer. Anal. 58, No. 3, 1719-1743 (2020). Reviewer: Markus Schweighofer (Konstanz) MSC: 90C23 11E25 65K05 PDF BibTeX XML Cite \textit{B. Després} and \textit{M. Herda}, SIAM J. Numer. Anal. 58, No. 3, 1719--1743 (2020; Zbl 07210679) Full Text: DOI
Marsh, Patrick Properties of the power envelope for tests against both stationary and explosive alternatives: the effect of trends. (English) Zbl 1442.62043 J. Time Ser. Anal. 41, No. 1, 146-153 (2020). MSC: 62F03 62F05 62E15 62E20 62M07 PDF BibTeX XML Cite \textit{P. Marsh}, J. Time Ser. Anal. 41, No. 1, 146--153 (2020; Zbl 1442.62043) Full Text: DOI
Chen, Haibin; Wang, Yiju; Zhou, Guanglu High-order sum-of-squares structured tensors: theory and applications. (English) Zbl 1439.65069 Front. Math. China 15, No. 2, 255-284 (2020). MSC: 65H17 15A18 90C30 PDF BibTeX XML Cite \textit{H. Chen} et al., Front. Math. China 15, No. 2, 255--284 (2020; Zbl 1439.65069) Full Text: DOI
Yang, Zhengfeng; Wu, Min; Lin, Wang An efficient framework for barrier certificate generation of uncertain nonlinear hybrid systems. (English) Zbl 07198064 Nonlinear Anal., Hybrid Syst. 36, Article ID 100837, 17 p. (2020). MSC: 65 93 PDF BibTeX XML Cite \textit{Z. Yang} et al., Nonlinear Anal., Hybrid Syst. 36, Article ID 100837, 17 p. (2020; Zbl 07198064) Full Text: DOI
Diao, Chenzhe; Han, Bin Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions. (English) Zbl 1437.42052 Appl. Comput. Harmon. Anal. 49, No. 1, 123-151 (2020). MSC: 42C40 42C15 41A15 65D07 PDF BibTeX XML Cite \textit{C. Diao} and \textit{B. Han}, Appl. Comput. Harmon. Anal. 49, No. 1, 123--151 (2020; Zbl 1437.42052) Full Text: DOI
Baruah, Nayandeep Deka; Kaur, Mandeep; Kim, Mingyu; Oh, Byeong-Kweon Proofs of some conjectures of Z. -H. Sun on relations between sums of squares and sums of triangular numbers. (English) Zbl 07187876 Indian J. Pure Appl. Math. 51, No. 1, 11-38 (2020). MSC: 11D85 11E20 11E25 33E20 PDF BibTeX XML Cite \textit{N. D. Baruah} et al., Indian J. Pure Appl. Math. 51, No. 1, 11--38 (2020; Zbl 07187876) Full Text: DOI
Guo, Feng; Sun, Xiaoxia On semi-infinite systems of convex polynomial inequalities and polynomial optimization problems. (English) Zbl 1441.90167 Comput. Optim. Appl. 75, No. 3, 669-699 (2020). MSC: 90C34 90C22 90C23 65K05 PDF BibTeX XML Cite \textit{F. Guo} and \textit{X. Sun}, Comput. Optim. Appl. 75, No. 3, 669--699 (2020; Zbl 1441.90167) Full Text: DOI
Bramanti, Marco On the proof of Hörmander’s hypoellipticity theorem. (English) Zbl 07175585 Matematiche 75, No. 1, 3-26 (2020). Reviewer: Sérgio Luís Zani (São Carlos) MSC: 47-02 47F05 35H10 PDF BibTeX XML Cite \textit{M. Bramanti}, Matematiche 75, No. 1, 3--26 (2020; Zbl 07175585) Full Text: Link
Brändle, Stefanie; Schmitt, Syn; Müller, Matthias A. A systems-theoretic analysis of low-level human motor control: application to a single-joint arm model. (English) Zbl 1432.92004 J. Math. Biol. 80, No. 4, 1139-1158 (2020). MSC: 92C10 92C20 93C15 93D05 PDF BibTeX XML Cite \textit{S. Brändle} et al., J. Math. Biol. 80, No. 4, 1139--1158 (2020; Zbl 1432.92004) Full Text: DOI
Marandi, Ahmadreza; de Klerk, Etienne; Dahl, Joachim Solving sparse polynomial optimization problems with chordal structure using the sparse bounded-degree sum-of-squares hierarchy. (English) Zbl 1433.90110 Discrete Appl. Math. 275, 95-110 (2020). MSC: 90C23 90C22 49J15 49M25 PDF BibTeX XML Cite \textit{A. Marandi} et al., Discrete Appl. Math. 275, 95--110 (2020; Zbl 1433.90110) Full Text: DOI
Liu, Wei; Li, Ying Qiu Sign-based test for mean vector in high-dimensional and sparse settings. (English) Zbl 1435.62200 Acta Math. Sin., Engl. Ser. 36, No. 1, 93-108 (2020). Reviewer: Fabio Rapallo (Alessandria) MSC: 62H15 62R07 62G35 PDF BibTeX XML Cite \textit{W. Liu} and \textit{Y. Q. Li}, Acta Math. Sin., Engl. Ser. 36, No. 1, 93--108 (2020; Zbl 1435.62200) Full Text: DOI
Ye, Dan; Li, Xiehuan Event-triggered fault detection for continuous-time networked polynomial-fuzzy-model-based systems. (English) Zbl 1433.93071 Appl. Math. Comput. 366, Article ID 124729, 16 p. (2020). MSC: 93C42 93B07 93B36 93E11 PDF BibTeX XML Cite \textit{D. Ye} and \textit{X. Li}, Appl. Math. Comput. 366, Article ID 124729, 16 p. (2020; Zbl 1433.93071) Full Text: DOI
Wang, Jie; Li, Haokun; Xia, Bican A new sparse SOS decomposition algorithm based on term sparsity. (English) Zbl 07246266 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-6084-5). 347-354 (2019). MSC: 68W30 PDF BibTeX XML Cite \textit{J. Wang} et al., in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 347--354 (2019; Zbl 07246266) Full Text: DOI
Gaar, Elisabeth; Wiegele, Angelika; Krenn, Daniel; Margulies, Susan An optimization-based sum-of-squares approach to Vizing’s conjecture. (English) Zbl 1444.68303 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 155-162 (2019). MSC: 68W30 13P10 68R10 90C22 PDF BibTeX XML Cite \textit{E. Gaar} et al., in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 155--162 (2019; Zbl 1444.68303) Full Text: DOI
Qi, Ni; Luo, Yong; Lin, Wang Verifying reach-while-stay property of nonlinear switched system based on Lyapunov-like function. (Chinese. English summary) Zbl 1449.93116 J. Syst. Sci. Math. Sci. 39, No. 12, 1964-1971 (2019). MSC: 93C10 93C30 PDF BibTeX XML Cite \textit{N. Qi} et al., J. Syst. Sci. Math. Sci. 39, No. 12, 1964--1971 (2019; Zbl 1449.93116)
Kar, Arpita; Murty, M. Ram On a conjecture of Bateman about \(r_5 (n)\). (English) Zbl 1445.11101 J. Ramanujan Math. Soc. 34, No. 1, 133-142 (2019). MSC: 11N37 11M06 PDF BibTeX XML Cite \textit{A. Kar} and \textit{M. R. Murty}, J. Ramanujan Math. Soc. 34, No. 1, 133--142 (2019; Zbl 1445.11101) Full Text: Link
Ramasubramanian, Bhaskar; Niu, Luyao; Clark, Andrew; Bushnell, Linda; Poovendran, Radha Linear temporal logic satisfaction in adversarial environments using secure control barrier certificates. (English) Zbl 1440.68038 Alpcan, Tansu (ed.) et al., Decision and game theory for security. 10th international conference, GameSec 2019, Stockholm, Sweden, October 30 – November 1, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11836, 385-403 (2019). MSC: 68M25 68Q60 91A80 PDF BibTeX XML Cite \textit{B. Ramasubramanian} et al., Lect. Notes Comput. Sci. 11836, 385--403 (2019; Zbl 1440.68038) Full Text: DOI
Colombi, Roberto; Giordano, Sabrina Likelihood-based tests for a class of misspecified finite mixture models for ordinal categorical data. (English) Zbl 1439.62070 Test 28, No. 4, 1175-1202 (2019). MSC: 62F03 62H15 62H30 PDF BibTeX XML Cite \textit{R. Colombi} and \textit{S. Giordano}, Test 28, No. 4, 1175--1202 (2019; Zbl 1439.62070) Full Text: DOI
Xu, Jia; Yao, Yong A proof of Hilbert’s theorem on ternary quartic forms. (English) Zbl 1442.11068 J. Math. Inequal. 13, No. 4, 1001-1009 (2019). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 14P05 PDF BibTeX XML Cite \textit{J. Xu} and \textit{Y. Yao}, J. Math. Inequal. 13, No. 4, 1001--1009 (2019; Zbl 1442.11068) Full Text: DOI
Alaca, Ayşe; Alaca, Şaban; Ntienjem, Ebénézer The convolution sum \(\sum_{al+bm=n}\sigma(l)\sigma(m)\) for \((a,b) = (1,28),(4,7),(1,14),(2,7),(1,7)\). (English) Zbl 07167104 Kyungpook Math. J. 59, No. 3, 377-389 (2019). MSC: 11A25 11E20 11E25 11F11 11F20 PDF BibTeX XML Cite \textit{A. Alaca} et al., Kyungpook Math. J. 59, No. 3, 377--389 (2019; Zbl 07167104) Full Text: DOI
Kel’manov, Alexander; Khandeev, Vladimir The problem \(K\)-means and given \(J\)-centers: polynomial solvability in one dimension. (English) Zbl 1429.90096 Bykadorov, Igor (ed.) et al., Mathematical optimization theory and operations research. 18th international conference, MOTOR 2019, Ekaterinburg, Russia, July 8–12, 2019. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1090, 207-216 (2019). MSC: 90C47 90C39 PDF BibTeX XML Cite \textit{A. Kel'manov} and \textit{V. Khandeev}, Commun. Comput. Inf. Sci. 1090, 207--216 (2019; Zbl 1429.90096) Full Text: DOI
Kel’manov, A. V.; Khandeev, V. I. Polynomial-time solvability of the one-dimensional case of an NP-hard clustering problem. (English. Russian original) Zbl 07150939 Comput. Math. Math. Phys. 59, No. 9, 1553-1561 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1617-1625 (2019). MSC: 68Q25 90C20 PDF BibTeX XML Cite \textit{A. V. Kel'manov} and \textit{V. I. Khandeev}, Comput. Math. Math. Phys. 59, No. 9, 1553--1561 (2019; Zbl 07150939); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1617--1625 (2019) Full Text: DOI
Sidorov, Eric; Zacksenhouse, Miriam Lyapunov based estimation of the basin of attraction of Poincaré maps with applications to limit cycle walking. (English) Zbl 1434.37046 Nonlinear Anal., Hybrid Syst. 33, 179-194 (2019). MSC: 37M21 34C05 70K05 PDF BibTeX XML Cite \textit{E. Sidorov} and \textit{M. Zacksenhouse}, Nonlinear Anal., Hybrid Syst. 33, 179--194 (2019; Zbl 1434.37046) Full Text: DOI
Crespo, Luis G.; Colbert, Brendon K.; Kenny, Sean P.; Giesy, Daniel P. On the quantification of aleatory and epistemic uncertainty using sliced-normal distributions. (English) Zbl 1428.93036 Syst. Control Lett. 134, Article ID 104560, 10 p. (2019). MSC: 93B30 93C35 62P30 PDF BibTeX XML Cite \textit{L. G. Crespo} et al., Syst. Control Lett. 134, Article ID 104560, 10 p. (2019; Zbl 1428.93036) Full Text: DOI
Alaca, Şaban; Kesicioglu, Yavuz Evaluation of the convolution sum \(\sum_{Al+bm=n} \sigma(l) \sigma(m)\) for \((a,b)=(1,48),(3,16),(1,54),(2,27)\). (English) Zbl 07126908 Funct. Approximatio, Comment. Math. 61, No. 1, 27-45 (2019). MSC: 11A25 11E20 11E20 11E25 11F11 11F20 11F27 PDF BibTeX XML Cite \textit{Ş. Alaca} and \textit{Y. Kesicioglu}, Funct. Approximatio, Comment. Math. 61, No. 1, 27--45 (2019; Zbl 07126908) Full Text: DOI Euclid
Davoudi, Ramtin; Hosseini, Seyed Mohammad A semidefinite programming approach for polynomial switched optimal control problems. (English) Zbl 1425.93142 Optim. Control Appl. Methods 40, No. 4, 626-646 (2019). MSC: 93C30 90C22 49J21 93B52 PDF BibTeX XML Cite \textit{R. Davoudi} and \textit{S. M. Hosseini}, Optim. Control Appl. Methods 40, No. 4, 626--646 (2019; Zbl 1425.93142) Full Text: DOI
Menini, Laura; Possieri, Corrado; Tornambè, Antonio A linear algebra method to decompose forms whose length is lower than the number of variables into weighted sum of squares. (English) Zbl 07123644 Int. J. Control 92, No. 11, 2647-2666 (2019). MSC: 93B25 93-08 68Q17 68W40 PDF BibTeX XML Cite \textit{L. Menini} et al., Int. J. Control 92, No. 11, 2647--2666 (2019; Zbl 07123644) Full Text: DOI
Fu, Rong; Sun, Hongfei; Zeng, Jianping Exponential stabilisation of nonlinear parameter-varying systems with applications to conversion flight control of a tilt rotor aircraft. (English) Zbl 1425.93233 Int. J. Control 92, No. 11, 2473-2483 (2019). MSC: 93D20 93C15 93B52 93C10 PDF BibTeX XML Cite \textit{R. Fu} et al., Int. J. Control 92, No. 11, 2473--2483 (2019; Zbl 1425.93233) Full Text: DOI
Bi, Yingjie; Tang, Ao On upper bounding Shannon capacity of graph through generalized conic programming. (English) Zbl 1428.90171 Optim. Lett. 13, No. 6, 1313-1323 (2019). MSC: 90C35 PDF BibTeX XML Cite \textit{Y. Bi} and \textit{A. Tang}, Optim. Lett. 13, No. 6, 1313--1323 (2019; Zbl 1428.90171) Full Text: DOI arXiv
González, Temoatzin; Sala, Antonio; Bernal, Miguel A generalised integral polynomial Lyapunov function for nonlinear systems. (English) Zbl 1423.93289 Fuzzy Sets Syst. 356, 77-91 (2019). MSC: 93D05 93C42 93C10 PDF BibTeX XML Cite \textit{T. González} et al., Fuzzy Sets Syst. 356, 77--91 (2019; Zbl 1423.93289) Full Text: DOI
Arias, Fabián; Borja, Jerson; Rubio, Luis Counting integers representable as images of polynomials modulo \(n\). (English) Zbl 07114887 J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019). MSC: 11A07 11B13 11B37 11E25 PDF BibTeX XML Cite \textit{F. Arias} et al., J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019; Zbl 07114887) Full Text: Link arXiv
Du, Trang T.; Ho, Toan M. Polynomial optimization on some unbounded closed semi-algebraic sets. (English) Zbl 1434.90128 J. Optim. Theory Appl. 183, No. 1, 352-363 (2019). MSC: 90C23 90C30 14P10 90C22 PDF BibTeX XML Cite \textit{T. T. Du} and \textit{T. M. Ho}, J. Optim. Theory Appl. 183, No. 1, 352--363 (2019; Zbl 1434.90128) Full Text: DOI
Banks, Jess; Kleinberg, Robert; Moore, Cristopher The Lovász theta function for random regular graphs and community detection in the hard regime. (English) Zbl 1420.05160 SIAM J. Comput. 48, No. 3, 1098-1119 (2019). MSC: 05C80 05C15 90C22 90B15 PDF BibTeX XML Cite \textit{J. Banks} et al., SIAM J. Comput. 48, No. 3, 1098--1119 (2019; Zbl 1420.05160) Full Text: DOI arXiv
Dietmann, Rainer; Elsholtz, Christian Sums of two numbers having only prime factors congruent to one modulo four. (English) Zbl 07087895 Pańkowski, Łukasz (ed.) et al., Number theory week 2017. Proceedings of the conference on the occasion of the 60th birthday of Jerzy Kaczorowski, Poznań, Poland, September 4–8, 2017. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-44-7/pbk). Banach Center Publications 118, 177-179 (2019). MSC: 11E25 11N36 11P32 PDF BibTeX XML Cite \textit{R. Dietmann} and \textit{C. Elsholtz}, Banach Cent. Publ. 118, 177--179 (2019; Zbl 07087895) Full Text: DOI
Grinshpan, Anatolii; Woerdeman, Hugo J. A linear-algebraic proof of Hilbert’s ternary quartic theorem. (English) Zbl 1443.11029 Am. Math. Mon. 126, No. 7, 620-627 (2019). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11E20 15B48 90C22 PDF BibTeX XML Cite \textit{A. Grinshpan} and \textit{H. J. Woerdeman}, Am. Math. Mon. 126, No. 7, 620--627 (2019; Zbl 1443.11029) Full Text: DOI arXiv
Lo, Ji-Chang; Liu, Jung-Wei Polynomial static output feedback \(H_\infty\) control via homogeneous Lyapunov functions. (English) Zbl 1416.93068 Int. J. Robust Nonlinear Control 29, No. 6, 1639-1659 (2019). MSC: 93B36 93B52 93D15 93C42 PDF BibTeX XML Cite \textit{J.-C. Lo} and \textit{J.-W. Liu}, Int. J. Robust Nonlinear Control 29, No. 6, 1639--1659 (2019; Zbl 1416.93068) Full Text: DOI
Yao, Olivia X. M. Generalizations of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(T(a,b,c,d;n)\). (English) Zbl 07067618 Ramanujan J. 48, No. 3, 639-654 (2019). MSC: 11D85 11E25 PDF BibTeX XML Cite \textit{O. X. M. Yao}, Ramanujan J. 48, No. 3, 639--654 (2019; Zbl 07067618) Full Text: DOI
Ahmadi, Amir Ali; Majumdar, Anirudha DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization. (English) Zbl 07067257 SIAM J. Appl. Algebra Geom. 3, No. 2, 193-230 (2019). MSC: 65K05 90C25 90C22 90C05 90C90 12Y05 93C85 90C27 PDF BibTeX XML Cite \textit{A. A. Ahmadi} and \textit{A. Majumdar}, SIAM J. Appl. Algebra Geom. 3, No. 2, 193--230 (2019; Zbl 07067257) Full Text: DOI arXiv
Cafuta, Kristijan Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools. (English) Zbl 07061310 CEJOR, Cent. Eur. J. Oper. Res. 27, No. 2, 397-413 (2019). MSC: 90B 13J30 90C22 08B20 11E25 90C90 PDF BibTeX XML Cite \textit{K. Cafuta}, CEJOR, Cent. Eur. J. Oper. Res. 27, No. 2, 397--413 (2019; Zbl 07061310) Full Text: DOI
Ballantine, Cristina; Merca, Mircea Jacobi’s four and eight squares theorems and partitions into distinct parts. (English) Zbl 1414.05032 Mediterr. J. Math. 16, No. 2, Paper No. 26, 15 p. (2019). Reviewer: Shane Chern (University Park) MSC: 05A17 05A19 11E25 11A25 11P81 PDF BibTeX XML Cite \textit{C. Ballantine} and \textit{M. Merca}, Mediterr. J. Math. 16, No. 2, Paper No. 26, 15 p. (2019; Zbl 1414.05032) Full Text: DOI
Hanselka, Christoph; Sinn, Rainer Positive semidefinite univariate matrix polynomials. (English) Zbl 07052016 Math. Z. 292, No. 1-2, 83-101 (2019). MSC: 14P05 47A68 11E08 11E25 13J30 PDF BibTeX XML Cite \textit{C. Hanselka} and \textit{R. Sinn}, Math. Z. 292, No. 1--2, 83--101 (2019; Zbl 07052016) Full Text: DOI arXiv
Averkov, Gennadiy Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization. (English) Zbl 1420.90043 SIAM J. Appl. Algebra Geom. 3, No. 1, 128-151 (2019). MSC: 90C22 90C26 90C20 90C25 05D10 14P10 52A20 PDF BibTeX XML Cite \textit{G. Averkov}, SIAM J. Appl. Algebra Geom. 3, No. 1, 128--151 (2019; Zbl 1420.90043) Full Text: DOI arXiv
Barak, Boaz; Hopkins, Samuel; Kelner, Jonathan; Kothari, Pravesh K.; Moitra, Ankur; Potechin, Aaron A nearly tight sum-of-squares lower bound for the planted clique problem. (English) Zbl 1421.68056 SIAM J. Comput. 48, No. 2, 687-735 (2019). MSC: 68Q17 05C69 05C80 68Q25 90C22 PDF BibTeX XML Cite \textit{B. Barak} et al., SIAM J. Comput. 48, No. 2, 687--735 (2019; Zbl 1421.68056) Full Text: DOI
Goluskin, David; Fantuzzi, Giovanni Bounds on mean energy in the Kuramoto-Sivashinsky equation computed using semidefinite programming. (English) Zbl 1412.35039 Nonlinearity 32, No. 5, 1705-1730 (2019). MSC: 35B45 35A15 90C22 35K35 PDF BibTeX XML Cite \textit{D. Goluskin} and \textit{G. Fantuzzi}, Nonlinearity 32, No. 5, 1705--1730 (2019; Zbl 1412.35039) Full Text: DOI
Papp, Dávid; Yildiz, Sercan Sum-of-squares optimization without semidefinite programming. (English) Zbl 1412.90114 SIAM J. Optim. 29, No. 1, 822-851 (2019). MSC: 90C25 90C51 65D05 90C22 PDF BibTeX XML Cite \textit{D. Papp} and \textit{S. Yildiz}, SIAM J. Optim. 29, No. 1, 822--851 (2019; Zbl 1412.90114) Full Text: DOI arXiv
Magron, Victor; Safey El Din, Mohab; Schweighofer, Markus Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials. (English) Zbl 1420.13058 J. Symb. Comput. 93, 200-220 (2019). MSC: 13J30 14P10 13P10 68W40 68W30 PDF BibTeX XML Cite \textit{V. Magron} et al., J. Symb. Comput. 93, 200--220 (2019; Zbl 1420.13058) Full Text: DOI
Grau, José María; Oller-Marcén, Antonio M. Fast computation of the number of solutions to \(x_1^2 + \cdots + x_k^2 \equiv \lambda \pmod{n}\). (English) Zbl 1418.11056 J. Number Theory 200, 427-440 (2019). Reviewer: Lekbir Chakri (Meknès) MSC: 11D79 11A25 11Y16 PDF BibTeX XML Cite \textit{J. M. Grau} and \textit{A. M. Oller-Marcén}, J. Number Theory 200, 427--440 (2019; Zbl 1418.11056) Full Text: DOI
Benavoli, Alessio; Facchini, Alessandro; Piga, Dario; Zaffalon, Marco Sum-of-squares for bounded rationality. (English) Zbl 07025924 Int. J. Approx. Reasoning 105, 130-152 (2019). MSC: 60A99 PDF BibTeX XML Cite \textit{A. Benavoli} et al., Int. J. Approx. Reasoning 105, 130--152 (2019; Zbl 07025924) Full Text: DOI
Xia, Ernest X. W.; Yan, Zhang Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers. (English) Zbl 07024208 Int. J. Number Theory 15, No. 1, 189-212 (2019). MSC: 11D85 11E25 PDF BibTeX XML Cite \textit{E. X. W. Xia} and \textit{Z. Yan}, Int. J. Number Theory 15, No. 1, 189--212 (2019; Zbl 07024208) Full Text: DOI
Eldin, Ramy F. Taki On the number of incongruent solutions to a quadratic congruence over algebraic integers. (English) Zbl 07024200 Int. J. Number Theory 15, No. 1, 105-130 (2019). MSC: 11R04 11L05 11T23 11D09 PDF BibTeX XML Cite \textit{R. F. T. Eldin}, Int. J. Number Theory 15, No. 1, 105--130 (2019; Zbl 07024200) Full Text: DOI
Ahmadi, Amir Ali; de Klerk, Etienne; Hall, Georgina Polynomial norms. (English) Zbl 1431.90107 SIAM J. Optim. 29, No. 1, 399-422 (2019). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C22 14P10 52A27 PDF BibTeX XML Cite \textit{A. A. Ahmadi} et al., SIAM J. Optim. 29, No. 1, 399--422 (2019; Zbl 1431.90107) Full Text: DOI arXiv
Dressler, Mareike; Iliman, Sadik; de Wolff, Timo An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming. (English) Zbl 1411.12003 J. Symb. Comput. 91, 149-172 (2019). Reviewer: Alexander Kovačec (Coimbra) MSC: 12D15 90C22 14P05 52B20 PDF BibTeX XML Cite \textit{M. Dressler} et al., J. Symb. Comput. 91, 149--172 (2019; Zbl 1411.12003) Full Text: DOI arXiv
Aygin, Zafer Selcuk On Eisenstein series in \(M_{2k}(\Gamma_{0}(N))\) and their applications. (English) Zbl 1437.11065 J. Number Theory 195, 358-375 (2019). MSC: 11F30 11A25 11E20 11E25 11F11 11F20 11F27 11Y35 PDF BibTeX XML Cite \textit{Z. S. Aygin}, J. Number Theory 195, 358--375 (2019; Zbl 1437.11065) Full Text: DOI
Raghavendra, Prasad; Schramm, Tselil; Steurer, David High dimensional estimation via sum-of-squares proofs. (English) Zbl 1451.90113 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3389-3423 (2018). MSC: 90C22 PDF BibTeX XML Cite \textit{P. Raghavendra} et al., in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3389--3423 (2018; Zbl 1451.90113) Full Text: DOI
Berkholz, Christoph The relation between polynomial calculus, Sherali-Adams, and sum-of-squares proofs. (English) Zbl 07228402 Niedermeier, Rolf (ed.) et al., 35th symposium on theoretical aspects of computer science, STACS 2018, Caen, France, February 28 – March 3, 2018. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-062-0). LIPIcs – Leibniz International Proceedings in Informatics 96, Article 11, 14 p. (2018). MSC: 68Qxx PDF BibTeX XML Cite \textit{C. Berkholz}, LIPIcs -- Leibniz Int. Proc. Inform. 96, Article 11, 14 p. (2018; Zbl 07228402) Full Text: DOI
Thapper, Johan; Živný, Stanislav The limits of SDP relaxations for general-valued CSPs. (English) Zbl 1427.90245 ACM Trans. Comput. Theory 10, No. 3, Article No. 12, 22 p. (2018). MSC: 90C27 68Q25 90C22 PDF BibTeX XML Cite \textit{J. Thapper} and \textit{S. Živný}, ACM Trans. Comput. Theory 10, No. 3, Article No. 12, 22 p. (2018; Zbl 1427.90245) Full Text: DOI
Pereira, Thiago; Aloise, Daniel; Brimberg, Jack; Mladenović, Nenad Review of basic local searches for solving the minimum sum-of-squares clustering problem. (English) Zbl 1421.90067 Pardalos, Panos M. (ed.) et al., Open problems in optimization and data analysis. Based on the summer school on challenges and open problems in optimization and data science, Deucalion Summer Institute for Advanced Studies in Optimization, Mathematics, and Data Science, Greece, August 2016. Cham: Springer. Springer Optim. Appl. 141, 249-270 (2018). MSC: 90B40 90C20 62H30 90C59 PDF BibTeX XML Cite \textit{T. Pereira} et al., Springer Optim. Appl. 141, 249--270 (2018; Zbl 1421.90067) Full Text: DOI
Kothari, Pravesh K.; Mehta, Ruta Sum-of-squares meets Nash: lower bounds for finding any equilibrium. (English) Zbl 1428.68163 Diakonikolas, Ilias (ed.) et al., Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC ’18, Los Angeles, CA, USA, June 25–29, 2018. New York, NY: Association for Computing Machinery (ACM). 1241-1248 (2018). MSC: 68Q17 68Q25 68W25 90C27 91A10 PDF BibTeX XML Cite \textit{P. K. Kothari} and \textit{R. Mehta}, in: Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC '18, Los Angeles, CA, USA, June 25--29, 2018. New York, NY: Association for Computing Machinery (ACM). 1241--1248 (2018; Zbl 1428.68163) Full Text: DOI
Kothari, Pravesh K.; Steinhardt, Jacob; Steurer, David Robust moment estimation and improved clustering via sum of squares. (English) Zbl 1434.62125 Diakonikolas, Ilias (ed.) et al., Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC ’18, Los Angeles, CA, USA, June 25–29, 2018. New York, NY: Association for Computing Machinery (ACM). 1035-1046 (2018). MSC: 62H30 68T05 PDF BibTeX XML Cite \textit{P. K. Kothari} et al., in: Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC '18, Los Angeles, CA, USA, June 25--29, 2018. New York, NY: Association for Computing Machinery (ACM). 1035--1046 (2018; Zbl 1434.62125) Full Text: DOI
Hopkins, Samuel B.; Li, Jerry Mixture models, robustness, and sum of squares proofs. (English) Zbl 1428.68240 Diakonikolas, Ilias (ed.) et al., Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC ’18, Los Angeles, CA, USA, June 25–29, 2018. New York, NY: Association for Computing Machinery (ACM). 1021-1034 (2018). MSC: 68T05 62F35 62H30 PDF BibTeX XML Cite \textit{S. B. Hopkins} and \textit{J. Li}, in: Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC '18, Los Angeles, CA, USA, June 25--29, 2018. New York, NY: Association for Computing Machinery (ACM). 1021--1034 (2018; Zbl 1428.68240) Full Text: DOI
Leung, Ho-Hon On a generalization of the pentagonal number theorem. (English) Zbl 1430.05008 Kyungpook Math. J. 58, No. 4, 599-613 (2018). Reviewer: Thomas Britz (Sydney) MSC: 05A17 05A15 05A19 11A25 11B65 11E25 11P83 PDF BibTeX XML Cite \textit{H.-H. Leung}, Kyungpook Math. J. 58, No. 4, 599--613 (2018; Zbl 1430.05008) Full Text: DOI arXiv
Wan, Yong; Tian, Hongxing; Yang, Chen \({H_\infty}\) optimal excitation control for power system based on sum of squares programming. (Chinese. English summary) Zbl 1424.93068 J. Nanjing Univ. Aeronaut. Astronaut. 50, No. 3, 342-347 (2018). MSC: 93B36 93D05 PDF BibTeX XML Cite \textit{Y. Wan} et al., J. Nanjing Univ. Aeronaut. Astronaut. 50, No. 3, 342--347 (2018; Zbl 1424.93068) Full Text: DOI
Massioni, Paolo; Scorletti, Gérard Consensus analysis of large-scale nonlinear homogeneous multiagent formations with polynomial dynamics. (English) Zbl 1408.93017 Int. J. Robust Nonlinear Control 28, No. 17, 5605-5617 (2018). MSC: 93A15 93C10 68T42 PDF BibTeX XML Cite \textit{P. Massioni} and \textit{G. Scorletti}, Int. J. Robust Nonlinear Control 28, No. 17, 5605--5617 (2018; Zbl 1408.93017) Full Text: DOI
Fu, Rong; Zeng, Jianping; Duan, Zhisheng \(H_{\infty}\) mixed stabilization of nonlinear parameter-varying systems. (English) Zbl 1408.93118 Int. J. Robust Nonlinear Control 28, No. 17, 5232-5246 (2018). MSC: 93D21 93B36 93B52 93C10 PDF BibTeX XML Cite \textit{R. Fu} et al., Int. J. Robust Nonlinear Control 28, No. 17, 5232--5246 (2018; Zbl 1408.93118) Full Text: DOI
Zheng, Xiuliang; She, Zhikun; Lu, Junjie; Li, Meilun Computing multiple Lyapunov-like functions for inner estimates of domains of attraction of switched hybrid systems. (English) Zbl 1408.93071 Int. J. Robust Nonlinear Control 28, No. 17, 5191-5212 (2018); corrigendum ibid. 28, No. 17, 5665-5666 (2018). MSC: 93C30 93C15 90C22 93-04 93D05 93B40 PDF BibTeX XML Cite \textit{X. Zheng} et al., Int. J. Robust Nonlinear Control 28, No. 17, 5191--5212 (2018; Zbl 1408.93071) Full Text: DOI
Ahmadi, Amir Ali; El Khadir, Bachir A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function. (English) Zbl 1408.93110 Syst. Control Lett. 121, 50-53 (2018). MSC: 93D20 93D30 93C15 93C10 PDF BibTeX XML Cite \textit{A. A. Ahmadi} and \textit{B. El Khadir}, Syst. Control Lett. 121, 50--53 (2018; Zbl 1408.93110) Full Text: DOI arXiv
Tri, P. V.; Sy, T. V. Q. Minimizing polynomials on noncompact sets. (English) Zbl 1424.30085 Acta Univ. Apulensis, Math. Inform. 54, 125-138 (2018). MSC: 30C45 PDF BibTeX XML Cite \textit{P. V. Tri} and \textit{T. V. Q. Sy}, Acta Univ. Apulensis, Math. Inform. 54, 125--138 (2018; Zbl 1424.30085) Full Text: DOI
Contreras-Torres, Ernesto Predicting structural classes of proteins by incorporating their global and local physicochemical and conformational properties into general Chou’s PseAAC. (English) Zbl 1406.92452 J. Theor. Biol. 454, 139-145 (2018). MSC: 92D20 62P10 62H30 PDF BibTeX XML Cite \textit{E. Contreras-Torres}, J. Theor. Biol. 454, 139--145 (2018; Zbl 1406.92452) Full Text: DOI
Noonan, Jack; Zhigljavsky, Anatoly Approximations of the boundary crossing probabilities for the maximum of moving weighted sums. (English) Zbl 1408.62150 Stat. Pap. 59, No. 4, 1325-1337 (2018). MSC: 62M10 62M15 60G70 PDF BibTeX XML Cite \textit{J. Noonan} and \textit{A. Zhigljavsky}, Stat. Pap. 59, No. 4, 1325--1337 (2018; Zbl 1408.62150) Full Text: DOI
Chuong, T. D.; Jeyakumar, V. Generalized Lagrangian duality for nonconvex polynomial programs with polynomial multipliers. (English) Zbl 1433.90158 J. Glob. Optim. 72, No. 4, 655-678 (2018). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 90C30 90C46 65K10 90C29 PDF BibTeX XML Cite \textit{T. D. Chuong} and \textit{V. Jeyakumar}, J. Glob. Optim. 72, No. 4, 655--678 (2018; Zbl 1433.90158) Full Text: DOI