Kummer, Mario; Sert, Büşra Matroids on eight elements with the half-plane property and related concepts. (English) Zbl 07749755 SIAM J. Discrete Math. 37, No. 3, 2208-2227 (2023). MSC: 05B35 90C22 52B40 PDFBibTeX XMLCite \textit{M. Kummer} and \textit{B. Sert}, SIAM J. Discrete Math. 37, No. 3, 2208--2227 (2023; Zbl 07749755) Full Text: DOI arXiv
Hoşten, S.; Shankar, I.; Torres, A. The degree of the central curve in semidefinite, linear, and quadratic programming. (English) Zbl 1485.90093 Matematiche 76, No. 2, 483-499 (2021). MSC: 90C25 90C22 14Q05 62R01 PDFBibTeX XMLCite \textit{S. Hoşten} et al., Matematiche 76, No. 2, 483--499 (2021; Zbl 1485.90093) Full Text: DOI arXiv
Jiang, Yuhan; Sturmfels, Bernd Bad projections of the PSD cone. (English) Zbl 1467.14120 Collect. Math. 72, No. 2, 261-280 (2021). MSC: 14M15 90C22 14P10 52B55 90C46 13J30 14Q15 14Q05 49N15 52A40 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{B. Sturmfels}, Collect. Math. 72, No. 2, 261--280 (2021; Zbl 1467.14120) Full Text: DOI arXiv
Bettiol, Renato G.; Kummer, Mario; Mendes, Ricardo A. E. Convex algebraic geometry of curvature operators. (English) Zbl 1475.14112 SIAM J. Appl. Algebra Geom. 5, No. 2, 200-228 (2021). MSC: 14P10 53B20 53C21 90C22 PDFBibTeX XMLCite \textit{R. G. Bettiol} et al., SIAM J. Appl. Algebra Geom. 5, No. 2, 200--228 (2021; Zbl 1475.14112) Full Text: DOI arXiv
Heaton, Alexander; Hoşten, Serkan; Shankar, Isabelle Symmetry adapted Gram spectrahedra. (English) Zbl 1472.90083 SIAM J. Appl. Algebra Geom. 5, No. 1, 140-164 (2021). MSC: 90C22 05E05 14Q30 PDFBibTeX XMLCite \textit{A. Heaton} et al., SIAM J. Appl. Algebra Geom. 5, No. 1, 140--164 (2021; Zbl 1472.90083) Full Text: DOI arXiv
Cifuentes, Diego; Kahle, Thomas; Parrilo, Pablo Sums of squares in Macaulay2. (English) Zbl 1439.13068 J. Softw. Algebra Geom. 10, 17-24 (2020). MSC: 13J30 13P25 90C22 13-04 PDFBibTeX XMLCite \textit{D. Cifuentes} et al., J. Softw. Algebra Geom. 10, 17--24 (2020; Zbl 1439.13068) Full Text: DOI arXiv
Cifuentes, Diego; Parrilo, Pablo A. Sampling algebraic varieties for sum of squares programs. (English) Zbl 1386.90099 SIAM J. Optim. 27, No. 4, 2381-2404 (2017). MSC: 90C22 65H10 PDFBibTeX XMLCite \textit{D. Cifuentes} and \textit{P. A. Parrilo}, SIAM J. Optim. 27, No. 4, 2381--2404 (2017; Zbl 1386.90099) Full Text: DOI arXiv
Leykin, Anton; Plaumann, Daniel Determinantal representations of hyperbolic curves via polynomial homotopy continuation. (English) Zbl 1393.14055 Math. Comput. 86, No. 308, 2877-2888 (2017). Reviewer: Nelly Villamizar (Linz) MSC: 14Q05 14Q99 65F40 90C22 PDFBibTeX XMLCite \textit{A. Leykin} and \textit{D. Plaumann}, Math. Comput. 86, No. 308, 2877--2888 (2017; Zbl 1393.14055) Full Text: DOI arXiv
Michałek, Mateusz; Sturmfels, Bernd; Uhler, Caroline; Zwiernik, Piotr Exponential varieties. (English) Zbl 1345.14048 Proc. Lond. Math. Soc. (3) 112, No. 1, 27-56 (2016). Reviewer: Michael R. DiPasquale (Stillwater) MSC: 14M99 52A20 62E99 65C60 PDFBibTeX XMLCite \textit{M. Michałek} et al., Proc. Lond. Math. Soc. (3) 112, No. 1, 27--56 (2016; Zbl 1345.14048) Full Text: DOI arXiv
Lessard, Laurent; Recht, Benjamin; Packard, Andrew Analysis and design of optimization algorithms via integral quadratic constraints. (English) Zbl 1329.90103 SIAM J. Optim. 26, No. 1, 57-95 (2016). MSC: 90C22 90C25 90C30 93C10 93D99 PDFBibTeX XMLCite \textit{L. Lessard} et al., SIAM J. Optim. 26, No. 1, 57--95 (2016; Zbl 1329.90103) Full Text: DOI arXiv
Sinn, Rainer; Sturmfels, Bernd Generic spectrahedral shadows. (English) Zbl 1346.14132 SIAM J. Optim. 25, No. 2, 1209-1220 (2015). Reviewer: Aris Daniilidis (Santiago) MSC: 14P10 90C22 14N05 PDFBibTeX XMLCite \textit{R. Sinn} and \textit{B. Sturmfels}, SIAM J. Optim. 25, No. 2, 1209--1220 (2015; Zbl 1346.14132) Full Text: DOI arXiv
Sinn, Rainer Algebraic boundaries of \(\mathrm{SO}(2)\)-orbitopes. (English) Zbl 1285.14062 Discrete Comput. Geom. 50, No. 1, 219-235 (2013). Reviewer: Emanuele Ventura (Helsinki) MSC: 14P05 52A99 90C22 22E47 14Q05 PDFBibTeX XMLCite \textit{R. Sinn}, Discrete Comput. Geom. 50, No. 1, 219--235 (2013; Zbl 1285.14062) Full Text: DOI arXiv
Blekherman, Grigoriy (ed.); Parrilo, Pablo A. (ed.); Thomas, Rekha R. (ed.) Semidefinite optimization and convex algebraic geometry. (English) Zbl 1260.90006 MOS-SIAM Series on Optimization 13. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-28-3/pbk; 978-1-61197-229-0/ebook). xix, 476 p. (2013). MSC: 90-06 90C22 52B55 14P05 00B15 PDFBibTeX XMLCite \textit{G. Blekherman} (ed.) et al., Semidefinite optimization and convex algebraic geometry. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2013; Zbl 1260.90006) Full Text: DOI
Ahmadi, Amir Ali; Parrilo, Pablo A. A convex polynomial that is not sos-convex. (English) Zbl 1254.90159 Math. Program. 135, No. 1-2 (A), 275-292 (2012). MSC: 90C25 52A41 90C22 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{P. A. Parrilo}, Math. Program. 135, No. 1--2 (A), 275--292 (2012; Zbl 1254.90159) Full Text: DOI arXiv
Rostalski, Philipp; Sturmfels, Bernd Dualities in convex algebraic geometry. (English) Zbl 1234.90012 Rend. Mat. Appl., VII. Ser. 30, No. 3-4, 285-327 (2010). MSC: 90C22 14P05 52A05 PDFBibTeX XMLCite \textit{P. Rostalski} and \textit{B. Sturmfels}, Rend. Mat. Appl., VII. Ser. 30, No. 3--4, 285--327 (2010; Zbl 1234.90012) Full Text: arXiv
Nie, Jiawang; Ranestad, Kristian; Sturmfels, Bernd The algebraic degree of semidefinite programming. (English) Zbl 1184.90119 Math. Program. 122, No. 2 (A), 379-405 (2010). MSC: 90C22 14Q15 14N05 14N10 90C46 90C60 PDFBibTeX XMLCite \textit{J. Nie} et al., Math. Program. 122, No. 2 (A), 379--405 (2010; Zbl 1184.90119) Full Text: DOI arXiv
Klep, Igor; Schweighofer, Markus Sums of Hermitian squares and the BMV conjecture. (English) Zbl 1158.15018 J. Stat. Phys. 133, No. 4, 739-760 (2008). MSC: 15A45 90C22 82B05 15B48 16S36 46L35 PDFBibTeX XMLCite \textit{I. Klep} and \textit{M. Schweighofer}, J. Stat. Phys. 133, No. 4, 739--760 (2008; Zbl 1158.15018) Full Text: DOI arXiv
Peyrl, Helfried; Parrilo, Pablo A. Computing sum of squares decompositions with rational coefficients. (English) Zbl 1156.65062 Theor. Comput. Sci. 409, No. 2, 269-281 (2008). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 68W30 90C30 PDFBibTeX XMLCite \textit{H. Peyrl} and \textit{P. A. Parrilo}, Theor. Comput. Sci. 409, No. 2, 269--281 (2008; Zbl 1156.65062) Full Text: DOI
Demmel, James; Nie, Jiawang; Powers, Victoria Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals. (English) Zbl 1106.13028 J. Pure Appl. Algebra 209, No. 1, 189-200 (2007). MSC: 13J30 11E25 14P10 90C22 PDFBibTeX XMLCite \textit{J. Demmel} et al., J. Pure Appl. Algebra 209, No. 1, 189--200 (2007; Zbl 1106.13028) Full Text: DOI
Gatermann, Karin; Parrilo, Pablo A. Symmetry groups, semidefinite programs, and sums of squares. (English) Zbl 1108.13021 J. Pure Appl. Algebra 192, No. 1-3, 95-128 (2004). MSC: 13J30 68W30 90C22 PDFBibTeX XMLCite \textit{K. Gatermann} and \textit{P. A. Parrilo}, J. Pure Appl. Algebra 192, No. 1--3, 95--128 (2004; Zbl 1108.13021) Full Text: DOI arXiv