Han, Tianyi; Jiao, Liguo; Lee, Jae Hyoung; Yin, Junping A utopia point method-based robust vector polynomial optimization scheme. (English) Zbl 07805316 J. Glob. Optim. 88, No. 2, 461-483 (2024). MSC: 90C29 90C34 90C46 49N15 PDFBibTeX XMLCite \textit{T. Han} et al., J. Glob. Optim. 88, No. 2, 461--483 (2024; Zbl 07805316) Full Text: DOI arXiv
Davis, Maria M.; Papp, Dávid Dual certificates and efficient rational sum-of-squares decompositions for polynomial optimization over compact sets. (English) Zbl 1504.90091 SIAM J. Optim. 32, No. 4, 2461-2492 (2022). MSC: 90C23 14Q30 90C51 49M29 90C25 PDFBibTeX XMLCite \textit{M. M. Davis} and \textit{D. Papp}, SIAM J. Optim. 32, No. 4, 2461--2492 (2022; Zbl 1504.90091) Full Text: DOI arXiv
Karimi, Mehdi; Tunçel, Levent Status determination by interior-point methods for convex optimization problems in domain-driven form. (English) Zbl 1494.90079 Math. Program. 194, No. 1-2 (A), 937-974 (2022). MSC: 90C25 90C51 49N15 65Y20 PDFBibTeX XMLCite \textit{M. Karimi} and \textit{L. Tunçel}, Math. Program. 194, No. 1--2 (A), 937--974 (2022; Zbl 1494.90079) Full Text: DOI arXiv
Kanno, Yoshihiro Structural reliability under uncertainty in moments: distributionally-robust reliability-based design optimization. (English) Zbl 1484.90112 Japan J. Ind. Appl. Math. 39, No. 1, 195-226 (2022). MSC: 90C30 90C17 90C22 90C15 PDFBibTeX XMLCite \textit{Y. Kanno}, Japan J. Ind. Appl. Math. 39, No. 1, 195--226 (2022; Zbl 1484.90112) Full Text: DOI arXiv
Tendero, Yohann; Ciril, Igor; Darbon, Jérôme; Serna, Susana An algorithm solving compressive sensing problem based on maximal monotone operators. (English) Zbl 1481.65096 SIAM J. Sci. Comput. 43, No. 6, A4067-A4094 (2021). MSC: 65K15 34A60 49M29 90C06 90C25 PDFBibTeX XMLCite \textit{Y. Tendero} et al., SIAM J. Sci. Comput. 43, No. 6, A4067--A4094 (2021; Zbl 1481.65096) Full Text: DOI
Garcia-Salguero, Mercedes; Gonzalez-Jimenez, Javier A sufficient condition of optimality for the relative pose problem between cameras. (English) Zbl 1474.90502 SIAM J. Imaging Sci. 14, No. 4, 1617-1634 (2021). MSC: 90C46 49K40 49K99 49N15 PDFBibTeX XMLCite \textit{M. Garcia-Salguero} and \textit{J. Gonzalez-Jimenez}, SIAM J. Imaging Sci. 14, No. 4, 1617--1634 (2021; Zbl 1474.90502) Full Text: DOI
Wang, Liping; Ma, Tengfei; Xia, Yong A linear-time algorithm for minimizing the ratio of quadratic functions with a quadratic constraint. (English) Zbl 1476.90322 Comput. Appl. Math. 40, No. 4, Paper No. 150, 15 p. (2021). MSC: 90C32 90C26 65F15 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Appl. Math. 40, No. 4, Paper No. 150, 15 p. (2021; Zbl 1476.90322) Full Text: DOI
Lourenço, Bruno F.; Muramatsu, Masakazu; Tsuchiya, Takashi Solving SDP completely with an interior point oracle. (English) Zbl 1470.90066 Optim. Methods Softw. 36, No. 2-3, 425-471 (2021). MSC: 90C22 90C25 90C46 PDFBibTeX XMLCite \textit{B. F. Lourenço} et al., Optim. Methods Softw. 36, No. 2--3, 425--471 (2021; Zbl 1470.90066) Full Text: DOI arXiv
Cheng, Sheng; Martins, Nuno C. An optimality gap test for a semidefinite relaxation of a quadratic program with two quadratic constraints. (English) Zbl 1462.90082 SIAM J. Optim. 31, No. 1, 866-886 (2021). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{S. Cheng} and \textit{N. C. Martins}, SIAM J. Optim. 31, No. 1, 866--886 (2021; Zbl 1462.90082) Full Text: DOI arXiv
Waki, Hayato; Ebihara, Yoshio; Sebe, Noboru Reduction of SISO H-infinity output feedback control problem. (English) Zbl 1457.49025 Linear Algebra Appl. 610, 321-378 (2021). MSC: 49N35 49N15 15A39 49K30 90C22 93C05 34K35 PDFBibTeX XMLCite \textit{H. Waki} et al., Linear Algebra Appl. 610, 321--378 (2021; Zbl 1457.49025) Full Text: DOI arXiv
Zhang, Siying; Luo, Honglin A note on semi-definite programming relaxations of ball-constrained weighted maximin dispersion problems. (Chinese. English summary) Zbl 1463.90153 J. Chongqing Norm. Univ., Nat. Sci. 37, No. 1, 107-112 (2020). MSC: 90C22 90C47 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{H. Luo}, J. Chongqing Norm. Univ., Nat. Sci. 37, No. 1, 107--112 (2020; Zbl 1463.90153) Full Text: DOI
Kanno, Yoshihiro Exploiting Lagrange duality for topology optimization with frictionless unilateral contact. (English) Zbl 1432.74188 Japan J. Ind. Appl. Math. 37, No. 1, 25-48 (2020). MSC: 74P15 74M15 90C46 PDFBibTeX XMLCite \textit{Y. Kanno}, Japan J. Ind. Appl. Math. 37, No. 1, 25--48 (2020; Zbl 1432.74188) Full Text: DOI arXiv
Zheng, Yang; Fantuzzi, Giovanni; Papachristodoulou, Antonis; Goulart, Paul; Wynn, Andrew Chordal decomposition in operator-splitting methods for sparse semidefinite programs. (English) Zbl 1434.90126 Math. Program. 180, No. 1-2 (A), 489-532 (2020). MSC: 90C22 90C25 49M27 49M29 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Math. Program. 180, No. 1--2 (A), 489--532 (2020; Zbl 1434.90126) Full Text: DOI arXiv
Zhu, Yuzixuan; Pataki, Gábor; Tran-Dinh, Quoc Sieve-SDP: a simple facial reduction algorithm to preprocess semidefinite programs. (English) Zbl 1479.90155 Math. Program. Comput. 11, No. 3, 503-586 (2019). MSC: 90C22 90C06 90C25 PDFBibTeX XMLCite \textit{Y. Zhu} et al., Math. Program. Comput. 11, No. 3, 503--586 (2019; Zbl 1479.90155) Full Text: DOI arXiv
Chanekar, Prasad Vilas; Chopra, Nikhil; Azarm, Shapour Co-design of linear systems using generalized Benders decomposition. (English) Zbl 1388.93045 Automatica 89, 180-193 (2018). MSC: 93C05 49N10 90C25 90C20 93B17 PDFBibTeX XMLCite \textit{P. V. Chanekar} et al., Automatica 89, 180--193 (2018; Zbl 1388.93045) Full Text: DOI
Lee, Jae Hyoung; Lee, Gue Myung On minimizing difference of a SOS-convex polynomial and a support function over a SOS-concave matrix polynomial constraint. (English) Zbl 1390.90518 Math. Program. 169, No. 1 (B), 177-198 (2018). MSC: 90C30 90C22 26A51 PDFBibTeX XMLCite \textit{J. H. Lee} and \textit{G. M. Lee}, Math. Program. 169, No. 1 (B), 177--198 (2018; Zbl 1390.90518) Full Text: DOI
Harwood, Stuart M.; Barton, Paul I. How to solve a design centering problem. (English) Zbl 1388.90114 Math. Methods Oper. Res. 86, No. 1, 215-254 (2017). Reviewer: Do Van Luu (Hanoi) MSC: 90C34 90C26 PDFBibTeX XMLCite \textit{S. M. Harwood} and \textit{P. I. Barton}, Math. Methods Oper. Res. 86, No. 1, 215--254 (2017; Zbl 1388.90114) Full Text: DOI Link
Billionnet, Alain; Elloumi, Sourour; Lambert, Amélie; Wiegele, Angelika Using a conic bundle method to accelerate both phases of a quadratic convex reformulation. (English) Zbl 1371.90098 INFORMS J. Comput. 29, No. 2, 318-331 (2017). MSC: 90C22 90C20 90C11 PDFBibTeX XMLCite \textit{A. Billionnet} et al., INFORMS J. Comput. 29, No. 2, 318--331 (2017; Zbl 1371.90098) Full Text: DOI arXiv
Permenter, Frank; Friberg, Henrik A.; Andersen, Erling D. Solving conic optimization problems via self-dual embedding and facial reduction: A unified approach. (English) Zbl 1368.90123 SIAM J. Optim. 27, No. 3, 1257-1282 (2017). MSC: 90C22 90C25 90C46 90C51 PDFBibTeX XMLCite \textit{F. Permenter} et al., SIAM J. Optim. 27, No. 3, 1257--1282 (2017; Zbl 1368.90123) Full Text: DOI
Salahi, Maziar; Taati, Akram; Wolkowicz, Henry Local nonglobal minima for solving large-scale extended trust-region subproblems. (English) Zbl 1391.90496 Comput. Optim. Appl. 66, No. 2, 223-244 (2017). MSC: 90C26 90C30 90C46 65F15 PDFBibTeX XMLCite \textit{M. Salahi} et al., Comput. Optim. Appl. 66, No. 2, 223--244 (2017; Zbl 1391.90496) Full Text: DOI arXiv
Platonov, E. N.; Semenikhin, K. V. Methods for minimax estimation under elementwise covariance uncertainty. (English. Russian original) Zbl 1346.93362 Autom. Remote Control 77, No. 5, 817-838 (2016); translation from Avtom. Telemekh. 2016, No. 5, 82-108 (2016). MSC: 93E10 93C41 90C22 90C46 90C52 PDFBibTeX XMLCite \textit{E. N. Platonov} and \textit{K. V. Semenikhin}, Autom. Remote Control 77, No. 5, 817--838 (2016; Zbl 1346.93362); translation from Avtom. Telemekh. 2016, No. 5, 82--108 (2016) Full Text: DOI
O’Donoghue, Brendan; Chu, Eric; Parikh, Neal; Boyd, Stephen Conic optimization via operator splitting and homogeneous self-dual embedding. (English) Zbl 1342.90136 J. Optim. Theory Appl. 169, No. 3, 1042-1068 (2016). MSC: 90C25 90C06 49M29 49M05 PDFBibTeX XMLCite \textit{B. O'Donoghue} et al., J. Optim. Theory Appl. 169, No. 3, 1042--1068 (2016; Zbl 1342.90136) Full Text: DOI arXiv
Zhou, Xiaojun; Gao, David Yang; Yang, Chunhua Global solutions to a class of CEC benchmark constrained optimization problems. (English) Zbl 1345.90072 Optim. Lett. 10, No. 3, 457-472 (2016). MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{X. Zhou} et al., Optim. Lett. 10, No. 3, 457--472 (2016; Zbl 1345.90072) Full Text: DOI arXiv Link
Wu, Z. Y.; Tian, J.; Ugon, J. Global optimality conditions and optimization methods for polynomial programming problems. (English) Zbl 1332.90282 J. Glob. Optim. 62, No. 4, 617-641 (2015). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{Z. Y. Wu} et al., J. Glob. Optim. 62, No. 4, 617--641 (2015; Zbl 1332.90282) Full Text: DOI
Jasour, A. M.; Aybat, N. S.; Lagoa, C. M. Semidefinite programming for chance constrained optimization over semialgebraic sets. (English) Zbl 1317.90237 SIAM J. Optim. 25, No. 3, 1411-1440 (2015). MSC: 90C25 90C22 90C06 14P10 11E25 65K05 49M29 PDFBibTeX XMLCite \textit{A. M. Jasour} et al., SIAM J. Optim. 25, No. 3, 1411--1440 (2015; Zbl 1317.90237) Full Text: DOI arXiv
Wang, Xiaoqing Stochastic separated continuous conic programming: strong duality and a solution method. (English) Zbl 1407.90245 Math. Probl. Eng. 2014, Article ID 896591, 20 p. (2014). MSC: 90C15 90C20 49N15 49K27 PDFBibTeX XMLCite \textit{X. Wang}, Math. Probl. Eng. 2014, Article ID 896591, 20 p. (2014; Zbl 1407.90245) Full Text: DOI
Beck, Amir Introduction to nonlinear optimization: theory, algorithms, and applications with MATLAB. (English) Zbl 1320.90001 MOS-SIAM Series on Optimization 19. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Philadelphia, PA: Mathematical Optimization Society (ISBN 978-1-611973-64-8/pbk; 978-1-61197-365-5/ebook). xii, 282 p. (2014). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90-01 90C30 90C25 90C46 49N15 PDFBibTeX XMLCite \textit{A. Beck}, Introduction to nonlinear optimization: theory, algorithms, and applications with MATLAB. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Philadelphia, PA: Mathematical Optimization Society (2014; Zbl 1320.90001) Full Text: DOI
Davi, Thomas; Jarre, Florian On the stable solution of large scale problems over the doubly nonnegative cone. (English) Zbl 1312.90050 Math. Program. 146, No. 1-2 (A), 299-323 (2014). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C22 90C25 90C46 PDFBibTeX XMLCite \textit{T. Davi} and \textit{F. Jarre}, Math. Program. 146, No. 1--2 (A), 299--323 (2014; Zbl 1312.90050) Full Text: DOI
Shi, Ziye; Jin, Qingwei Second order optimality conditions and reformulations for nonconvex quadratically constrained quadratic programming problems. (English) Zbl 1283.49021 J. Ind. Manag. Optim. 10, No. 3, 871-882 (2014). MSC: 49K21 49M37 49N15 90C20 90C26 PDFBibTeX XMLCite \textit{Z. Shi} and \textit{Q. Jin}, J. Ind. Manag. Optim. 10, No. 3, 871--882 (2014; Zbl 1283.49021) Full Text: DOI
Han, Yingwei; Xia, Yong A dual method for the pose estimation problem. (Chinese. English summary) Zbl 1299.90259 Oper. Res. Trans. 17, No. 3, 86-92 (2013). MSC: 90C22 49M20 49M29 PDFBibTeX XMLCite \textit{Y. Han} and \textit{Y. Xia}, Oper. Res. Trans. 17, No. 3, 86--92 (2013; Zbl 1299.90259)
Cheung, Yuen-Lam; Schurr, Simon; Wolkowicz, Henry Preprocessing and regularization for degenerate semidefinite programs. (English) Zbl 1288.90060 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 251-303 (2013). Reviewer: Jan-Joachim Rückmann (Puebla) MSC: 90C22 90C25 65K10 49K40 PDFBibTeX XMLCite \textit{Y.-L. Cheung} et al., Springer Proc. Math. Stat. 50, 251--303 (2013; Zbl 1288.90060) Full Text: DOI
Phan, Dzung T. Lagrangian duality and branch-and-bound algorithms for optimal power flow. (English) Zbl 1251.90308 Oper. Res. 60, No. 2, 275-285 (2012). MSC: 90C26 90C46 90C57 PDFBibTeX XMLCite \textit{D. T. Phan}, Oper. Res. 60, No. 2, 275--285 (2012; Zbl 1251.90308) Full Text: DOI Link
van den Berg, Ewout; Friedlander, Michael P. Sparse optimization with least-squares constraints. (English) Zbl 1242.49061 SIAM J. Optim. 21, No. 4, 1201-1229 (2011). MSC: 49M15 49M29 65K05 90C25 90C06 94A08 PDFBibTeX XMLCite \textit{E. van den Berg} and \textit{M. P. Friedlander}, SIAM J. Optim. 21, No. 4, 1201--1229 (2011; Zbl 1242.49061) Full Text: DOI Link
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming Solving large-scale least squares semidefinite programming by alternating direction methods. (English) Zbl 1243.49039 SIAM J. Matrix Anal. Appl. 32, No. 1, 136-152 (2011). MSC: 49M29 90C22 90C06 90C25 PDFBibTeX XMLCite \textit{B. He} et al., SIAM J. Matrix Anal. Appl. 32, No. 1, 136--152 (2011; Zbl 1243.49039) Full Text: DOI
Iyengar, G.; Phillips, D. J.; Stein, C. Approximating semidefinite packing programs. (English) Zbl 1226.90064 SIAM J. Optim. 21, No. 1, 231-268 (2011). Reviewer: Jean-Jacques Strodiot (Namur) MSC: 90C22 49M29 PDFBibTeX XMLCite \textit{G. Iyengar} et al., SIAM J. Optim. 21, No. 1, 231--268 (2011; Zbl 1226.90064) Full Text: DOI Link
Bertsimas, Dimitris; Doan, Xuan Vinh; Natarajan, Karthik; Teo, Chung-Piaw Models for minimax stochastic linear optimization problems with risk aversion. (English) Zbl 1218.90215 Math. Oper. Res. 35, No. 3, 580-602 (2010). MSC: 90C47 90C22 90C46 PDFBibTeX XMLCite \textit{D. Bertsimas} et al., Math. Oper. Res. 35, No. 3, 580--602 (2010; Zbl 1218.90215) Full Text: DOI
Gao, Yan; Sun, Defeng Calibrating least squares semidefinite programming with equality and inequality constraints. (English) Zbl 1201.49031 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1432-1457 (2010). MSC: 49M15 49M29 90C25 90C30 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{D. Sun}, SIAM J. Matrix Anal. Appl. 31, No. 3, 1432--1457 (2010; Zbl 1201.49031) Full Text: DOI Link
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
Wang, Xiaoqing; Zhang, Shuzhong; Yao, David D. Separated continuous conic programming: strong duality and an approximation algorithm. (English) Zbl 1207.49043 SIAM J. Control Optim. 48, No. 4, 2118-2138 (2009). Reviewer: Igor V. Konnov (Kazan) MSC: 49N15 90C46 90C05 49M25 PDFBibTeX XMLCite \textit{X. Wang} et al., SIAM J. Control Optim. 48, No. 4, 2118--2138 (2009; Zbl 1207.49043) Full Text: DOI Link
Candès, Emmanuel J.; Recht, Benjamin Exact matrix completion via convex optimization. (English) Zbl 1219.90124 Found. Comput. Math. 9, No. 6, 717-772 (2009). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 90C25 90C59 15B52 90-02 PDFBibTeX XMLCite \textit{E. J. Candès} and \textit{B. Recht}, Found. Comput. Math. 9, No. 6, 717--772 (2009; Zbl 1219.90124) Full Text: DOI
van den Berg, Ewout; Friedlander, Michael P. Probing the Pareto frontier for basis pursuit solutions. (English) Zbl 1193.49033 SIAM J. Sci. Comput. 31, No. 2, 890-912 (2008). MSC: 49M29 65K05 90C25 90C06 PDFBibTeX XMLCite \textit{E. van den Berg} and \textit{M. P. Friedlander}, SIAM J. Sci. Comput. 31, No. 2, 890--912 (2008; Zbl 1193.49033) Full Text: DOI Link
Ebihara, Yoshio Computing the distance to uncontrollability via LMIs: lower bound computation with exactness verification. (English) Zbl 1153.93004 Syst. Control Lett. 57, No. 9, 763-771 (2008). MSC: 93B05 93C15 93C05 93B55 15A18 PDFBibTeX XMLCite \textit{Y. Ebihara}, Syst. Control Lett. 57, No. 9, 763--771 (2008; Zbl 1153.93004) Full Text: DOI Link
Ghosh, Arpita; Boyd, Stephen; Saberi, Amin Minimizing effective resistance of a graph. (English) Zbl 1134.05057 SIAM Rev. 50, No. 1, 37-66 (2008). MSC: 05C50 05C12 90C25 90C35 90C46 PDFBibTeX XMLCite \textit{A. Ghosh} et al., SIAM Rev. 50, No. 1, 37--66 (2008; Zbl 1134.05057) Full Text: DOI
Friedlander, Michael P.; Tseng, Paul Exact regularization of convex programs. (English) Zbl 1176.90457 SIAM J. Optim. 18, No. 4, 1326-1350 (2007). Reviewer: R. N. Kaul (Delhi) MSC: 90C25 90C05 90C51 65K10 49N15 PDFBibTeX XMLCite \textit{M. P. Friedlander} and \textit{P. Tseng}, SIAM J. Optim. 18, No. 4, 1326--1350 (2007; Zbl 1176.90457) Full Text: DOI Link
Beck, Amir; Eldar, Yonina C. Regularization in regression with bounded noise: A Chebyshev center approach. (English) Zbl 1171.90492 SIAM J. Matrix Anal. Appl. 29, No. 2, 606-625 (2007). MSC: 90C20 90C22 90C26 65F30 PDFBibTeX XMLCite \textit{A. Beck} and \textit{Y. C. Eldar}, SIAM J. Matrix Anal. Appl. 29, No. 2, 606--625 (2007; Zbl 1171.90492) Full Text: DOI Link
Pinar, Mustafa Ç.; Teboulle, Marc On semidefinite bounds for maximization of a non-convex quadratic objective over the \(\ell_1\) unit ball. (English) Zbl 1180.90222 RAIRO, Oper. Res. 40, No. 3, 253-265 (2006). MSC: 90C20 90C22 90C26 90C46 PDFBibTeX XMLCite \textit{M. Ç. Pinar} and \textit{M. Teboulle}, RAIRO, Oper. Res. 40, No. 3, 253--265 (2006; Zbl 1180.90222) Full Text: DOI EuDML
Beck, Amir; Eldar, Yonina C. Strong duality in nonconvex quadratic optimization with two quadratic constraints. (English) Zbl 1128.90044 SIAM J. Optim. 17, No. 3, 844-860 (2006). MSC: 90C20 90C26 90C46 PDFBibTeX XMLCite \textit{A. Beck} and \textit{Y. C. Eldar}, SIAM J. Optim. 17, No. 3, 844--860 (2006; Zbl 1128.90044) Full Text: DOI
Erdoğan, E.; Iyengar, G. An active set method for single-cone second-order cone programs. (English) Zbl 1165.90586 SIAM J. Optim. 17, No. 2, 459-484 (2006). MSC: 90C25 90C20 49N15 PDFBibTeX XMLCite \textit{E. Erdoğan} and \textit{G. Iyengar}, SIAM J. Optim. 17, No. 2, 459--484 (2006; Zbl 1165.90586) Full Text: DOI
Nie, Jiawang; Demmel, James; Sturmfels, Bernd Minimizing polynomials via sum of squares over the gradient ideal. (English) Zbl 1134.90032 Math. Program. 106, No. 3 (A), 587-606 (2006). MSC: 90C22 14P10 90C46 PDFBibTeX XMLCite \textit{J. Nie} et al., Math. Program. 106, No. 3 (A), 587--606 (2006; Zbl 1134.90032) Full Text: DOI arXiv
Freund, Robert M. On the behavior of the homogeneous self-dual model for conic convex optimization. (English) Zbl 1134.90034 Math. Program. 106, No. 3 (A), 527-545 (2006). MSC: 90C25 90C05 90C22 90C31 90C46 90C51 PDFBibTeX XMLCite \textit{R. M. Freund}, Math. Program. 106, No. 3 (A), 527--545 (2006; Zbl 1134.90034) Full Text: DOI
Boyd, Stephen; Diaconis, Persi; Xiao, Lin Fastest mixing Markov chain on a graph. (English) Zbl 1063.60102 SIAM Rev. 46, No. 4, 667-689 (2004). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J22 60J27 65F15 65K05 90C22 90C46 PDFBibTeX XMLCite \textit{S. Boyd} et al., SIAM Rev. 46, No. 4, 667--689 (2004; Zbl 1063.60102) Full Text: DOI
Yao, David D.; Zhang, Shuzhong; Zhou, Xun Yu Stochastic linear-quadratic control via primal-dual semidefinite programming. (English) Zbl 1062.93049 SIAM Rev. 46, No. 1, 87-111 (2004). MSC: 93E20 90C22 93D15 PDFBibTeX XMLCite \textit{D. D. Yao} et al., SIAM Rev. 46, No. 1, 87--111 (2004; Zbl 1062.93049) Full Text: DOI
Malick, Jérôme A dual approach to semidefinite least-squares problems. (English) Zbl 1080.65027 SIAM J. Matrix Anal. Appl. 26, No. 1, 272-284 (2004). Reviewer: Oleksandr Kukush (Kyïv) MSC: 65F20 65K05 90C22 91G60 90C53 PDFBibTeX XMLCite \textit{J. Malick}, SIAM J. Matrix Anal. Appl. 26, No. 1, 272--284 (2004; Zbl 1080.65027) Full Text: DOI
Parrilo, Pablo A.; Lall, Sanjay Semidefinite programming relaxations and algebraic optimization in control. (English) Zbl 1293.93302 Eur. J. Control 9, No. 2-3, 307-321 (2003). MSC: 93B40 90C22 PDFBibTeX XMLCite \textit{P. A. Parrilo} and \textit{S. Lall}, Eur. J. Control 9, No. 2--3, 307--321 (2003; Zbl 1293.93302) Full Text: DOI
Fukuda, Mituhiro; Kojima, Masakazu; Shida, Masayuki Lagrangian dual interior-point methods for semidefinite programs. (English) Zbl 1035.90054 SIAM J. Optim. 12, No. 4, 1007-1031 (2002). MSC: 90C22 90C51 90C53 65F10 49N15 49M29 PDFBibTeX XMLCite \textit{M. Fukuda} et al., SIAM J. Optim. 12, No. 4, 1007--1031 (2002; Zbl 1035.90054) Full Text: DOI
Sturm, Jos F. Similarity and other spectral relations for symmetric cones. (English) Zbl 0973.90093 Linear Algebra Appl. 312, No. 1-3, 135-154 (2000). MSC: 90C46 15B48 17C99 PDFBibTeX XMLCite \textit{J. F. Sturm}, Linear Algebra Appl. 312, No. 1--3, 135--154 (2000; Zbl 0973.90093) Full Text: DOI
Sturm, Jos F. Using SeDuMi 1. 02, a MATLAB toolbox for optimization over symmetric cones. (English) Zbl 0973.90526 Optim. Methods Softw. 11-12, No. 1-4, 625-653 (1999). MSC: 90C22 90C46 65Y15 PDFBibTeX XMLCite \textit{J. F. Sturm}, Optim. Methods Softw. 11--12, No. 1--4, 625--653 (1999; Zbl 0973.90526) Full Text: DOI