Jeyakumar, Vaithilingam; Lee, Gue Myung; Lee, Jae Hyoung; Huang, Yingkun Sum-of-squares relaxations in robust DC optimization and feature selection. (English) Zbl 07794716 J. Optim. Theory Appl. 200, No. 1, 308-343 (2024). MSC: 90C22 90C26 90C32 PDFBibTeX XMLCite \textit{V. Jeyakumar} et al., J. Optim. Theory Appl. 200, No. 1, 308--343 (2024; Zbl 07794716) Full Text: DOI
Saunderson, James A convex form that is not a sum of squares. (English) Zbl 07808950 Math. Oper. Res. 48, No. 1, 569-582 (2023). MSC: 90C22 90C25 52A41 PDFBibTeX XMLCite \textit{J. Saunderson}, Math. Oper. Res. 48, No. 1, 569--582 (2023; Zbl 07808950) Full Text: DOI arXiv
Henrion, Didier (ed.); Kuhlmann, Salma (ed.); Mezić, Igor (ed.); Vinnikov, Victor (ed.) Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12–17, 2023. (English) Zbl 1525.00020 Oberwolfach Rep. 20, No. 1, 741-811 (2023). MSC: 00B05 00B25 14-06 14Pxx 12D15 13J30 14M12 14Q30 37M25 44A60 46N10 47A57 49M29 49N35 52A20 52A27 52A41 90C22 90C25 90C26 93B28 PDFBibTeX XMLCite \textit{D. Henrion} (ed.) et al., Oberwolfach Rep. 20, No. 1, 741--811 (2023; Zbl 1525.00020) Full Text: DOI
Azuma, Godai; Fukuda, Mituhiro; Kim, Sunyoung; Yamashita, Makoto Exact SDP relaxations for quadratic programs with bipartite graph structures. (English) Zbl 1522.90063 J. Glob. Optim. 86, No. 3, 671-691 (2023). MSC: 90C20 90C22 90C25 90C26 PDFBibTeX XMLCite \textit{G. Azuma} et al., J. Glob. Optim. 86, No. 3, 671--691 (2023; Zbl 1522.90063) Full Text: DOI arXiv
Ding, Lijun; Grimmer, Benjamin Revisiting spectral bundle methods: primal-dual (sub)linear convergence rates. (English) Zbl 1523.90270 SIAM J. Optim. 33, No. 2, 1305-1332 (2023). MSC: 90C06 90C22 PDFBibTeX XMLCite \textit{L. Ding} and \textit{B. Grimmer}, SIAM J. Optim. 33, No. 2, 1305--1332 (2023; Zbl 1523.90270) Full Text: DOI arXiv
Tsuchiya, Takashi; Lourenço, Bruno F.; Muramatsu, Masakazu; Okuno, Takayuki A limiting analysis on regularization of singular SDP and its implication to infeasible interior-point algorithms. (English) Zbl 1519.90159 Math. Program. 200, No. 1 (A), 531-568 (2023). MSC: 90C22 90C25 90C51 90C31 65K05 PDFBibTeX XMLCite \textit{T. Tsuchiya} et al., Math. Program. 200, No. 1 (A), 531--568 (2023; Zbl 1519.90159) Full Text: DOI arXiv
Ramachandran, Akshay; Shu, Kevin; Wang, Alex L. Hidden convexity, optimization, and algorithms on rotation matrices. arXiv:2304.08596 Preprint, arXiv:2304.08596 [math.OC] (2023). MSC: 90C22 90C26 70G65 52A41 BibTeX Cite \textit{A. Ramachandran} et al., ``Hidden convexity, optimization, and algorithms on rotation matrices'', Preprint, arXiv:2304.08596 [math.OC] (2023) Full Text: arXiv OA License
Nohra, Carlos J.; Raghunathan, Arvind U.; Sahinidis, Nikolaos V. SDP-quality bounds via convex quadratic relaxations for global optimization of mixed-integer quadratic programs. (English) Zbl 1506.90173 Math. Program. 196, No. 1-2 (B), 203-233 (2022). MSC: 90C11 90C20 90C26 PDFBibTeX XMLCite \textit{C. J. Nohra} et al., Math. Program. 196, No. 1--2 (B), 203--233 (2022; Zbl 1506.90173) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu Roots of the identity operator and proximal mappings: (classical and phantom) cycles and gap vectors. (English) Zbl 1509.46015 Proc. Am. Math. Soc. 150, No. 12, 5383-5395 (2022). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46C05 47H05 52A41 47H10 49J53 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{X. Wang}, Proc. Am. Math. Soc. 150, No. 12, 5383--5395 (2022; Zbl 1509.46015) Full Text: DOI arXiv
Gökmen, Y. Görkem; Yıldırım, E. Alper On standard quadratic programs with exact and inexact doubly nonnegative relaxations. (English) Zbl 1491.90111 Math. Program. 193, No. 1 (A), 365-403 (2022). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{Y. G. Gökmen} and \textit{E. A. Yıldırım}, Math. Program. 193, No. 1 (A), 365--403 (2022; Zbl 1491.90111) Full Text: DOI arXiv
Elbassioni, Khaled; Makino, Kazuhisa; Najy, Waleed Finding sparse solutions for packing and covering semidefinite programs. (English) Zbl 07510406 SIAM J. Optim. 32, No. 2, 321-353 (2022). MSC: 68Q25 90C22 90C06 PDFBibTeX XMLCite \textit{K. Elbassioni} et al., SIAM J. Optim. 32, No. 2, 321--353 (2022; Zbl 07510406) Full Text: DOI arXiv
Azuma, Godai; Fukuda, Mituhiro; Kim, Sunyoung; Yamashita, Makoto Exact SDP relaxations of quadratically constrained quadratic programs with forest structures. (English) Zbl 1486.90138 J. Glob. Optim. 82, No. 2, 243-262 (2022). MSC: 90C20 90C22 PDFBibTeX XMLCite \textit{G. Azuma} et al., J. Glob. Optim. 82, No. 2, 243--262 (2022; Zbl 1486.90138) Full Text: DOI arXiv
Jeyakumar, V.; Li, G.; Woolnough, D. Quadratically adjustable robust linear optimization with inexact data via generalized S-lemma: exact second-order cone program reformulations. (English) Zbl 07711239 EURO J. Comput. Optim. 9, Article ID 100019, 9 p. (2021). MSC: 90C20 90C17 90C22 PDFBibTeX XMLCite \textit{V. Jeyakumar} et al., EURO J. Comput. Optim. 9, Article ID 100019, 9 p. (2021; Zbl 07711239) Full Text: DOI
Ding, Lijun; Yurtsever, Alp; Cevher, Volkan; Tropp, Joel A.; Udell, Madeleine An optimal-storage approach to semidefinite programming using approximate complementarity. (English) Zbl 1480.90188 SIAM J. Optim. 31, No. 4, 2695-2725 (2021). MSC: 90C22 90C06 49M05 PDFBibTeX XMLCite \textit{L. Ding} et al., SIAM J. Optim. 31, No. 4, 2695--2725 (2021; Zbl 1480.90188) Full Text: DOI arXiv
Ding, Lijun; Udell, Madeleine On the simplicity and conditioning of low rank semidefinite programs. (English) Zbl 1479.90154 SIAM J. Optim. 31, No. 4, 2614-2637 (2021). MSC: 90C22 90C06 49M05 PDFBibTeX XMLCite \textit{L. Ding} and \textit{M. Udell}, SIAM J. Optim. 31, No. 4, 2614--2637 (2021; Zbl 1479.90154) Full Text: DOI arXiv
Huang, Ming; Yuan, Jin-long; Pang, Li-ping; Xia, Zun-quan \(\mathcal{UV}\)-theory of a class of semidefinite programming and its applications. (English) Zbl 1508.90055 Acta Math. Appl. Sin., Engl. Ser. 37, No. 4, 717-737 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 90C22 90C30 52A41 49J52 15A18 PDFBibTeX XMLCite \textit{M. Huang} et al., Acta Math. Appl. Sin., Engl. Ser. 37, No. 4, 717--737 (2021; Zbl 1508.90055) Full Text: DOI
Ahmadi, Amir Ali; El Khadir, Bachir Time-varying semidefinite programs. (English) Zbl 1477.90054 Math. Oper. Res. 46, No. 3, 1054-1080 (2021). MSC: 90C22 90C23 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{B. El Khadir}, Math. Oper. Res. 46, No. 3, 1054--1080 (2021; Zbl 1477.90054) Full Text: DOI arXiv
Rauhut, Holger; Stojanac, Željka Tensor theta norms and low rank recovery. (English) Zbl 1474.13058 Numer. Algorithms 88, No. 1, 25-66 (2021). Reviewer: Edoardo Ballico (Povo) MSC: 13P10 15A69 15A60 52A41 90C22 90C25 94A20 PDFBibTeX XMLCite \textit{H. Rauhut} and \textit{Ž. Stojanac}, Numer. Algorithms 88, No. 1, 25--66 (2021; Zbl 1474.13058) Full Text: DOI arXiv
Goberna, M. A.; Jeyakumar, V.; Li, G. Calculating radius of robust feasibility of uncertain linear conic programs via semi-definite programs. (English) Zbl 1470.90061 J. Optim. Theory Appl. 189, No. 2, 597-622 (2021). MSC: 90C17 90C05 90C22 PDFBibTeX XMLCite \textit{M. A. Goberna} et al., J. Optim. Theory Appl. 189, No. 2, 597--622 (2021; Zbl 1470.90061) Full Text: DOI arXiv
Shen, Chungen; Wang, Yunlong; Xue, Wenjuan; Zhang, Lei-Hong An accelerated active-set algorithm for a quadratic semidefinite program with general constraints. (English) Zbl 1462.65071 Comput. Optim. Appl. 78, No. 1, 1-42 (2021). MSC: 65K05 90C22 90C30 PDFBibTeX XMLCite \textit{C. Shen} et al., Comput. Optim. Appl. 78, No. 1, 1--42 (2021; Zbl 1462.65071) Full Text: DOI
Jiao, Liguo; Lee, Jae Hyoung Finding efficient solutions in robust multiple objective optimization with SOS-convex polynomial data. (English) Zbl 1460.90167 Ann. Oper. Res. 296, No. 1-2, 803-820 (2021). MSC: 90C29 90C17 90C22 52A41 PDFBibTeX XMLCite \textit{L. Jiao} and \textit{J. H. Lee}, Ann. Oper. Res. 296, No. 1--2, 803--820 (2021; Zbl 1460.90167) Full Text: DOI
Xue, Bai; Wang, Qiuye; Zhan, Naijun; Wang, Shijie; She, Zhikun Synthesizing robust domains of attraction for state-constrained perturbed polynomial systems. (English) Zbl 1467.93081 SIAM J. Control Optim. 59, No. 2, 1083-1108 (2021). MSC: 93B35 93C73 90C22 PDFBibTeX XMLCite \textit{B. Xue} et al., SIAM J. Control Optim. 59, No. 2, 1083--1108 (2021; Zbl 1467.93081) Full Text: DOI arXiv
Woolnough, D.; Jeyakumar, V.; Li, G. Exact conic programming reformulations of two-stage adjustable robust linear programs with new quadratic decision rules. (English) Zbl 1460.90122 Optim. Lett. 15, No. 1, 25-44 (2021). MSC: 90C17 90C22 PDFBibTeX XMLCite \textit{D. Woolnough} et al., Optim. Lett. 15, No. 1, 25--44 (2021; Zbl 1460.90122) Full Text: DOI arXiv
Zheng, Xiyin Formulas and applications for the normal cone to the solution set of an infinite convex inequality system with a constraint. (Chinese. English summary) Zbl 1513.90134 Sci. Sin., Math. 50, No. 12, 1939-1956 (2020). MSC: 90C25 52A40 52A41 90C34 90C22 PDFBibTeX XMLCite \textit{X. Zheng}, Sci. Sin., Math. 50, No. 12, 1939--1956 (2020; Zbl 1513.90134) Full Text: DOI
Jiao, Liguo; Lee, Jae Hyoung; Ogata, Yuto; Tanaka, Tamaki Multi-objective optimization problems with SOS-convex polynomials over an LMI constraint. (English) Zbl 1485.90124 Taiwanese J. Math. 24, No. 4, 1021-1043 (2020). Reviewer: Tien-Son Pham (Dalat) MSC: 90C29 90C22 65K05 52A41 PDFBibTeX XMLCite \textit{L. Jiao} et al., Taiwanese J. Math. 24, No. 4, 1021--1043 (2020; Zbl 1485.90124) Full Text: DOI Euclid
Ahmadi, Amir Ali; Zhang, Jeffrey On the complexity of testing attainment of the optimal value in nonlinear optimization. (English) Zbl 1451.90176 Math. Program. 184, No. 1-2 (A), 221-241 (2020). MSC: 90C60 90C30 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{J. Zhang}, Math. Program. 184, No. 1--2 (A), 221--241 (2020; Zbl 1451.90176) Full Text: DOI arXiv
Sagan, April; Shen, Xin; Mitchell, John E. Two relaxation methods for rank minimization problems. (English) Zbl 1441.90166 J. Optim. Theory Appl. 186, No. 3, 806-825 (2020). MSC: 90C33 90C53 PDFBibTeX XMLCite \textit{A. Sagan} et al., J. Optim. Theory Appl. 186, No. 3, 806--825 (2020; Zbl 1441.90166) Full Text: DOI
Nakagaki, Takashi; Fukuda, Mituhiro; Kim, Sunyoung; Yamashita, Makoto A dual spectral projected gradient method for log-determinant semidefinite problems. (English) Zbl 1433.90104 Comput. Optim. Appl. 76, No. 1, 33-68 (2020). MSC: 90C20 90C22 90C25 90C26 90C52 PDFBibTeX XMLCite \textit{T. Nakagaki} et al., Comput. Optim. Appl. 76, No. 1, 33--68 (2020; Zbl 1433.90104) Full Text: DOI arXiv
Elbassioni, Khaled; Makino, Kazuhisa Oracle-based primal-dual algorithms for packing and covering semidefinite programs. (English) Zbl 07525480 Bender, Michael A. (ed.) et al., 27th annual European symposium on algorithms, ESA 2019, Munich/Garching, Germany, September 9–11, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 144, Article 43, 15 p. (2019). MSC: 68Wxx PDFBibTeX XMLCite \textit{K. Elbassioni} and \textit{K. Makino}, LIPIcs -- Leibniz Int. Proc. Inform. 144, Article 43, 15 p. (2019; Zbl 07525480) Full Text: DOI
Ryu, Ernest K.; Liu, Yanli; Yin, Wotao Douglas-Rachford splitting and ADMM for pathological convex optimization. (English) Zbl 1427.90223 Comput. Optim. Appl. 74, No. 3, 747-778 (2019). MSC: 90C25 90C46 49N15 65K05 90C22 PDFBibTeX XMLCite \textit{E. K. Ryu} et al., Comput. Optim. Appl. 74, No. 3, 747--778 (2019; Zbl 1427.90223) Full Text: DOI arXiv
Lee, Jae Hyoung; Jiao, Liguo Finding efficient solutions for multicriteria optimization problems with SOS-convex polynomials. (English) Zbl 1427.90252 Taiwanese J. Math. 23, No. 6, 1535-1550 (2019). MSC: 90C29 65K05 90C25 90C22 52A41 PDFBibTeX XMLCite \textit{J. H. Lee} and \textit{L. Jiao}, Taiwanese J. Math. 23, No. 6, 1535--1550 (2019; Zbl 1427.90252) Full Text: DOI Euclid
Chuong, T. D.; Jeyakumar, V.; Li, G. A new bounded degree hierarchy with SOCP relaxations for global polynomial optimization and conic convex semi-algebraic programs. (English) Zbl 1433.90122 J. Glob. Optim. 75, No. 4, 885-919 (2019). MSC: 90C26 90C22 PDFBibTeX XMLCite \textit{T. D. Chuong} et al., J. Glob. Optim. 75, No. 4, 885--919 (2019; Zbl 1433.90122) Full Text: DOI
Kriel, Tom-Lukas; Schweighofer, Markus On the exactness of Lasserre relaxations and pure states over real closed fields. (English) Zbl 1432.13019 Found. Comput. Math. 19, No. 6, 1223-1263 (2019). Reviewer: Valeriu Popa (Chişinău) MSC: 13J30 90C22 14P10 46L30 52A20 52A41 PDFBibTeX XMLCite \textit{T.-L. Kriel} and \textit{M. Schweighofer}, Found. Comput. Math. 19, No. 6, 1223--1263 (2019; Zbl 1432.13019) Full Text: DOI arXiv
Komeiji, Hikaru; Kim, Sunyoung; Yamashita, Makoto On the conditions for the finite termination of ADMM and its applications to SOS polynomials feasibility problems. (English) Zbl 1425.90076 Comput. Optim. Appl. 74, No. 2, 317-344 (2019). MSC: 90C22 90C25 90C26 PDFBibTeX XMLCite \textit{H. Komeiji} et al., Comput. Optim. Appl. 74, No. 2, 317--344 (2019; Zbl 1425.90076) Full Text: DOI
Pataki, Gábor Characterizing bad semidefinite programs: normal forms and short proofs. (English) Zbl 1430.90459 SIAM Rev. 61, No. 4, 839-859 (2019). MSC: 90C22 90C46 49N15 52A40 52A41 PDFBibTeX XMLCite \textit{G. Pataki}, SIAM Rev. 61, No. 4, 839--859 (2019; Zbl 1430.90459) Full Text: DOI arXiv
Soh, Yong Sheng; Chandrasekaran, Venkat Learning semidefinite regularizers. (English) Zbl 1411.90269 Found. Comput. Math. 19, No. 2, 375-434 (2019). MSC: 90C25 90C22 15A24 41A45 52A41 PDFBibTeX XMLCite \textit{Y. S. Soh} and \textit{V. Chandrasekaran}, Found. Comput. Math. 19, No. 2, 375--434 (2019; Zbl 1411.90269) Full Text: DOI arXiv Link
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A. Semidefinite approximations of the matrix logarithm. (English) Zbl 1411.90254 Found. Comput. Math. 19, No. 2, 259-296 (2019). MSC: 90C22 52A41 47A63 PDFBibTeX XMLCite \textit{H. Fawzi} et al., Found. Comput. Math. 19, No. 2, 259--296 (2019; Zbl 1411.90254) Full Text: DOI arXiv
Jarre, Florian; Stoer, Josef Optimization. Introduction to mathematical theory and methods. 2nd revised edition. (Optimierung. Einführung in mathematische Theorie und Methoden.) (German) Zbl 1427.90002 Masterclass. Berlin: Springer Spektrum (ISBN 978-3-662-58854-3/pbk; 978-3-662-58855-0/ebook). xvi, 519 p. (2019). Reviewer: Karel Zimmermann (Praha) MSC: 90-01 90Cxx 65K05 90C05 90C22 90C51 90B06 90C30 90C46 PDFBibTeX XMLCite \textit{F. Jarre} and \textit{J. Stoer}, Optimierung. Einführung in mathematische Theorie und Methoden. 2nd revised edition. Berlin: Springer Spektrum (2019; Zbl 1427.90002) Full Text: DOI
Xi, Mingxiao; Luo, Honglin Solving semidefinite programs via discretization method for solving semiinfinite programming problems. (Chinese. English summary) Zbl 1424.90279 J. Chongqing Norm. Univ., Nat. Sci. 35, No. 2, 21-27 (2018). MSC: 90C34 90C22 90C46 90C05 PDFBibTeX XMLCite \textit{M. Xi} and \textit{H. Luo}, J. Chongqing Norm. Univ., Nat. Sci. 35, No. 2, 21--27 (2018; Zbl 1424.90279) Full Text: DOI
Deng, Zhi-Bin; Tian, Ye; Lu, Cheng; Xing, Wen-Xun Globally solving quadratic programs with convex objective and complementarity constraints via completely positive programming. (English) Zbl 1412.90151 J. Ind. Manag. Optim. 14, No. 2, 625-636 (2018). MSC: 90C33 90C20 90C22 49M37 PDFBibTeX XMLCite \textit{Z.-B. Deng} et al., J. Ind. Manag. Optim. 14, No. 2, 625--636 (2018; Zbl 1412.90151) Full Text: DOI
Huang, Shimeng; Wolkowicz, Henry Low-rank matrix completion using nuclear norm minimization and facial reduction. (English) Zbl 1475.65036 J. Glob. Optim. 72, No. 1, 5-26 (2018). MSC: 65J22 90C22 65K10 52A41 90C46 PDFBibTeX XMLCite \textit{S. Huang} and \textit{H. Wolkowicz}, J. Glob. Optim. 72, No. 1, 5--26 (2018; Zbl 1475.65036) Full Text: DOI arXiv
Caluza Machado, Fabrício; de Oliveira Filho, Fernando Mário Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry. (English) Zbl 1401.52028 Exp. Math. 27, No. 3, 362-369 (2018). MSC: 52C17 90C22 PDFBibTeX XMLCite \textit{F. Caluza Machado} and \textit{F. M. de Oliveira Filho}, Exp. Math. 27, No. 3, 362--369 (2018; Zbl 1401.52028) Full Text: DOI arXiv
Kriel, Tom-Lukas; Schweighofer, Markus On the exactness of Lasserre relaxations for compact convex basic closed semialgebraic sets. (English) Zbl 1397.90296 SIAM J. Optim. 28, No. 2, 1796-1816 (2018). MSC: 90C22 14P10 52A20 52A41 90C26 13J30 PDFBibTeX XMLCite \textit{T.-L. Kriel} and \textit{M. Schweighofer}, SIAM J. Optim. 28, No. 2, 1796--1816 (2018; Zbl 1397.90296) Full Text: DOI arXiv
Huang, Ming; Lu, Yue; Pang, Li Ping; Xia, Zun Quan Correction to: “A space decomposition scheme for maximum eigenvalue functions and its applications”. (English) Zbl 1408.65036 Math. Methods Oper. Res. 87, No. 2, 309 (2018). MSC: 65K05 52A41 65K10 90C25 90C22 49J52 65F15 PDFBibTeX XMLCite \textit{M. Huang} et al., Math. Methods Oper. Res. 87, No. 2, 309 (2018; Zbl 1408.65036) Full Text: DOI
Huang, Ming; Lu, Yue; Pang, Li Ping; Xia, Zun Quan A space decomposition scheme for maximum eigenvalue functions and its applications. (English) Zbl 1377.65064 Math. Methods Oper. Res. 85, No. 3, 453-490 (2017); correction ibid. 87, No. 2, 309 (2018). Reviewer: Hang Lau (Montréal) MSC: 65K05 52A41 65K10 90C25 90C22 49J52 65F15 PDFBibTeX XMLCite \textit{M. Huang} et al., Math. Methods Oper. Res. 85, No. 3, 453--490 (2017; Zbl 1377.65064) Full Text: DOI
Madani, Ramtin; Sojoudi, Somayeh; Fazelnia, Ghazal; Lavaei, Javad Finding low-rank solutions of sparse linear matrix inequalities using convex optimization. (English) Zbl 1365.90185 SIAM J. Optim. 27, No. 2, 725-758 (2017). MSC: 90C20 90C22 90C25 90C26 90C30 90C35 90C90 52A41 PDFBibTeX XMLCite \textit{R. Madani} et al., SIAM J. Optim. 27, No. 2, 725--758 (2017; Zbl 1365.90185) Full Text: DOI
Bartz, Sedi; Bauschke, Heinz H.; Wang, Xianfu The resolvent order: a unification of the orders by Zarantonello, by Loewner, and by Moreau. (English) Zbl 1425.47006 SIAM J. Optim. 27, No. 1, 466-477 (2017). MSC: 47H05 47H09 26B25 15B57 47L07 52A41 90C25 PDFBibTeX XMLCite \textit{S. Bartz} et al., SIAM J. Optim. 27, No. 1, 466--477 (2017; Zbl 1425.47006) Full Text: DOI arXiv
Wachsmuth, Gerd Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity. With applications to optimization with semidefinite and second-order-cone complementarity constraints. (English) Zbl 1368.49018 Set-Valued Var. Anal. 25, No. 1, 133-175 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49K10 49J52 90C22 90C33 49K27 PDFBibTeX XMLCite \textit{G. Wachsmuth}, Set-Valued Var. Anal. 25, No. 1, 133--175 (2017; Zbl 1368.49018) Full Text: DOI
Pataki, Gábor Bad semidefinite programs: they all look the same. (English) Zbl 1366.90158 SIAM J. Optim. 27, No. 1, 146-172 (2017). MSC: 90C22 90C46 49N15 52A40 PDFBibTeX XMLCite \textit{G. Pataki}, SIAM J. Optim. 27, No. 1, 146--172 (2017; Zbl 1366.90158) Full Text: DOI arXiv
Jeyakumar, Vaithilingam; Li, Guoyin Exact conic programming relaxations for a class of convex polynomial cone programs. (English) Zbl 1388.90093 J. Optim. Theory Appl. 172, No. 1, 156-178 (2017). MSC: 90C22 90C25 90C46 PDFBibTeX XMLCite \textit{V. Jeyakumar} and \textit{G. Li}, J. Optim. Theory Appl. 172, No. 1, 156--178 (2017; Zbl 1388.90093) Full Text: DOI
Lasserre, Jean B. A MAX-CUT formulation of 0/1 programs. (English) Zbl 1408.90222 Oper. Res. Lett. 44, No. 2, 158-164 (2016). MSC: 90C20 90C10 90C22 PDFBibTeX XMLCite \textit{J. B. Lasserre}, Oper. Res. Lett. 44, No. 2, 158--164 (2016; Zbl 1408.90222) Full Text: DOI arXiv
Foucart, Simon Computation of minimal projections and extensions. (English) Zbl 1348.46013 Numer. Funct. Anal. Optim. 37, No. 2, 159-185 (2016). Reviewer: Jan-David Hardtke (Berlin) MSC: 46B04 90C25 90C05 90C22 49M29 65K05 PDFBibTeX XMLCite \textit{S. Foucart}, Numer. Funct. Anal. Optim. 37, No. 2, 159--185 (2016; Zbl 1348.46013) Full Text: DOI
Wang, Shu; Pfifer, Harald; Seiler, Peter Robust synthesis for linear parameter varying systems using integral quadratic constraints. (English) Zbl 1334.93070 Automatica 68, 111-118 (2016). MSC: 93B50 93B35 93C05 90C22 93C41 90C26 93B40 PDFBibTeX XMLCite \textit{S. Wang} et al., Automatica 68, 111--118 (2016; Zbl 1334.93070) Full Text: DOI
Bartz, Sedi; Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu The resolvent average of monotone operators: dominant and recessive properties. (English) Zbl 1357.47053 SIAM J. Optim. 26, No. 1, 602-634 (2016). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 47H05 52A41 15A09 26A51 26B25 26E60 47H09 47A63 PDFBibTeX XMLCite \textit{S. Bartz} et al., SIAM J. Optim. 26, No. 1, 602--634 (2016; Zbl 1357.47053) Full Text: DOI arXiv
Nesterov, Yu.; Tunçel, L. Local superlinear convergence of polynomial-time interior-point methods for hyperbolicity cone optimization problems. (English) Zbl 1329.90168 SIAM J. Optim. 26, No. 1, 139-170 (2016). MSC: 90C51 52A41 90C22 90C25 PDFBibTeX XMLCite \textit{Yu. Nesterov} and \textit{L. Tunçel}, SIAM J. Optim. 26, No. 1, 139--170 (2016; Zbl 1329.90168) Full Text: DOI arXiv
Dong, Hongbo; Krislock, Nathan Semidefinite approaches for MIQCP: convex relaxations and practical methods. (English) Zbl 1369.90117 Defourny, Boris (ed.) et al., Modeling and optimization: theory and applications. MOPTA, Bethlehem, PA, USA, August 13–15, 2014. Selected contributions. Cham: Springer (ISBN 978-3-319-23698-8/hbk; 978-3-319-23699-5/ebook). Springer Proceedings in Mathematics & Statistics 147, 49-75 (2015). MSC: 90C22 90C11 90C26 PDFBibTeX XMLCite \textit{H. Dong} and \textit{N. Krislock}, Springer Proc. Math. Stat. 147, 49--75 (2015; Zbl 1369.90117) Full Text: DOI
Berta, Mario; Fawzi, Omar; Scholz, Volkher B. Semidefinite programs for randomness extractors. (English) Zbl 1366.81135 Beigi, Salman (ed.) et al., 10th conference on the theory of quantum computation, communication and cryptography, TQC’15, Brussels, Belgium, May 20–22, 2015. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-96-5). LIPIcs – Leibniz International Proceedings in Informatics 44, 73-91 (2015). MSC: 81P94 90C22 PDFBibTeX XMLCite \textit{M. Berta} et al., LIPIcs -- Leibniz Int. Proc. Inform. 44, 73--91 (2015; Zbl 1366.81135) Full Text: DOI
Yamashita, Makoto; Nakata, Kazuhide Fast implementation for semidefinite programs with positive matrix completion. (English) Zbl 1376.90044 Optim. Methods Softw. 30, No. 5, 1030-1049 (2015). MSC: 90C22 90C51 97N80 PDFBibTeX XMLCite \textit{M. Yamashita} and \textit{K. Nakata}, Optim. Methods Softw. 30, No. 5, 1030--1049 (2015; Zbl 1376.90044) Full Text: DOI arXiv
Saunderson, James; Parrilo, Pablo A. Polynomial-sized semidefinite representations of derivative relaxations of spectrahedral cones. (English) Zbl 1327.90180 Math. Program. 153, No. 2 (A), 309-331 (2015). MSC: 90C22 90C25 52A41 52A20 PDFBibTeX XMLCite \textit{J. Saunderson} and \textit{P. A. Parrilo}, Math. Program. 153, No. 2 (A), 309--331 (2015; Zbl 1327.90180) Full Text: DOI arXiv
Netzer, Tim; Sanyal, Raman Smooth hyperbolicity cones are spectrahedral shadows. (English) Zbl 1327.90218 Math. Program. 153, No. 1 (B), 213-221 (2015). MSC: 90C25 90C22 52A41 52B99 14P10 PDFBibTeX XMLCite \textit{T. Netzer} and \textit{R. Sanyal}, Math. Program. 153, No. 1 (B), 213--221 (2015; Zbl 1327.90218) Full Text: DOI arXiv
Zhao, Xin-Yuan; Cai, Tao; Xu, Dachuan A Newton-CG augmented Lagrangian method for convex quadratically constrained quadratic semidefinite programs. (English) Zbl 1327.90186 Gao, David (ed.) et al., Advances in global optimization. Selected papers based on the presentations at the 3rd world congress on global optimization in engineering and science, WCGO, Anhui, China, July 8–12, 2013. Cham: Springer (ISBN 978-3-319-08376-6/hbk; 978-3-319-08377-3/ebook). Springer Proceedings in Mathematics & Statistics 95, 337-345 (2015). MSC: 90C22 90C20 90C53 PDFBibTeX XMLCite \textit{X.-Y. Zhao} et al., Springer Proc. Math. Stat. 95, 337--345 (2015; Zbl 1327.90186) Full Text: DOI
Saunderson, J.; Parrilo, P. A.; Willsky, A. S. Semidefinite descriptions of the convex hull of rotation matrices. (English) Zbl 1317.90231 SIAM J. Optim. 25, No. 3, 1314-1343 (2015). MSC: 90C22 90C25 52A41 52A20 PDFBibTeX XMLCite \textit{J. Saunderson} et al., SIAM J. Optim. 25, No. 3, 1314--1343 (2015; Zbl 1317.90231) Full Text: DOI arXiv
Gross, D.; Krahmer, F.; Kueng, R. A partial derandomization of phaselift using spherical designs. (English) Zbl 1332.90197 J. Fourier Anal. Appl. 21, No. 2, 229-266 (2015). Reviewer: Paulo Mbunga (Kiel) MSC: 90C25 49N30 62H12 60F10 PDFBibTeX XMLCite \textit{D. Gross} et al., J. Fourier Anal. Appl. 21, No. 2, 229--266 (2015; Zbl 1332.90197) Full Text: DOI arXiv
Amelunxen, Dennis; Bürgisser, Peter Intrinsic volumes of symmetric cones and applications in convex programming. (English) Zbl 1311.90092 Math. Program. 149, No. 1-2 (A), 105-130 (2015). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C22 52A55 PDFBibTeX XMLCite \textit{D. Amelunxen} and \textit{P. Bürgisser}, Math. Program. 149, No. 1--2 (A), 105--130 (2015; Zbl 1311.90092) Full Text: DOI
Sojoudi, Somayeh; Lavaei, Javad Exactness of semidefinite relaxations for nonlinear optimization problems with underlying graph structure. (English) Zbl 1327.90221 SIAM J. Optim. 24, No. 4, 1746-1778 (2014). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C25 90C22 90C30 52A41 90C35 90C90 PDFBibTeX XMLCite \textit{S. Sojoudi} and \textit{J. Lavaei}, SIAM J. Optim. 24, No. 4, 1746--1778 (2014; Zbl 1327.90221) Full Text: DOI Link
Zhang, Fang; Chen, Zhiping New conditional gradient algorithms for the graph max-bisection problem. (Chinese. English summary) Zbl 1313.90174 Numer. Math., Nanjing 36, No. 1, 86-96 (2014). MSC: 90C22 90C59 90C35 90C27 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{Z. Chen}, Numer. Math., Nanjing 36, No. 1, 86--96 (2014; Zbl 1313.90174)
Candès, Emmanuel J.; Li, Xiaodong Solving quadratic equations via phaselift when there are about as many equations as unknowns. (English) Zbl 1312.90054 Found. Comput. Math. 14, No. 5, 1017-1026 (2014). MSC: 90C25 49N30 62H12 60F10 PDFBibTeX XMLCite \textit{E. J. Candès} and \textit{X. Li}, Found. Comput. Math. 14, No. 5, 1017--1026 (2014; Zbl 1312.90054) Full Text: DOI arXiv
Mojica-Nava, Eduardo; Quijano, Nicanor; Rakoto-Ravalontsalama, Naly A polynomial approach for optimal control of switched nonlinear systems. (English) Zbl 1301.93087 Int. J. Robust Nonlinear Control 24, No. 12, 1797-1808 (2014). MSC: 93C30 93C10 49M30 90C22 PDFBibTeX XMLCite \textit{E. Mojica-Nava} et al., Int. J. Robust Nonlinear Control 24, No. 12, 1797--1808 (2014; Zbl 1301.93087) Full Text: DOI
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi Curvature integrals and iteration complexities in SDP and symmetric cone programs. (English) Zbl 1319.90049 Comput. Optim. Appl. 57, No. 3, 623-665 (2014). MSC: 90C22 PDFBibTeX XMLCite \textit{S. Kakihara} et al., Comput. Optim. Appl. 57, No. 3, 623--665 (2014; Zbl 1319.90049) Full Text: DOI
Myklebust, Tor; Tunçel, Levent Interior-point algorithms for convex optimization based on primal-dual metrics. arXiv:1411.2129 Preprint, arXiv:1411.2129 [math.OC] (2014). MSC: 90C51 90C22 90C25 90C60 90C05 65Y20 52A41 49M37 90C30 BibTeX Cite \textit{T. Myklebust} and \textit{L. Tunçel}, ``Interior-point algorithms for convex optimization based on primal-dual metrics'', Preprint, arXiv:1411.2129 [math.OC] (2014) Full Text: arXiv OA License
Locatelli, Marco Computing the value of the convex envelope of quadratic forms over polytopes through a semidefinite program. (English) Zbl 1286.90108 Oper. Res. Lett. 41, No. 4, 370-372 (2013). MSC: 90C22 52A41 PDFBibTeX XMLCite \textit{M. Locatelli}, Oper. Res. Lett. 41, No. 4, 370--372 (2013; Zbl 1286.90108) Full Text: DOI
Pataki, Gábor Strong duality in conic linear programming: facial reduction and extended duals. (English) Zbl 1282.90231 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, 613-634 (2013). MSC: 90C46 49N15 90C22 90C25 52A40 52A41 PDFBibTeX XMLCite \textit{G. Pataki}, Springer Proc. Math. Stat. 50, 613--634 (2013; Zbl 1282.90231) Full Text: DOI arXiv
Ahmed, Faizan; Still, Georg A note on set-semidefinite relaxations of nonconvex quadratic programs. (English) Zbl 1277.90084 J. Glob. Optim. 57, No. 4, 1139-1146 (2013). MSC: 90C20 90C22 90C09 PDFBibTeX XMLCite \textit{F. Ahmed} and \textit{G. Still}, J. Glob. Optim. 57, No. 4, 1139--1146 (2013; Zbl 1277.90084) Full Text: DOI
Misener, Ruth; Floudas, Christodoulos A. GLOMIQO: global mixed-integer quadratic optimizer. (English) Zbl 1272.90034 J. Glob. Optim. 57, No. 1, 3-50 (2013). MSC: 90C11 90C22 65K05 90-08 PDFBibTeX XMLCite \textit{R. Misener} and \textit{C. A. Floudas}, J. Glob. Optim. 57, No. 1, 3--50 (2013; Zbl 1272.90034) Full Text: DOI Link
Ahmadi, Amir Ali; Parrilo, Pablo A. A complete characterization of the gap between convexity and sos-convexity. (English) Zbl 1295.52009 SIAM J. Optim. 23, No. 2, 811-833 (2013). Reviewer: Gabriela Cristescu (Arad) MSC: 52A41 14Q99 90C22 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{P. A. Parrilo}, SIAM J. Optim. 23, No. 2, 811--833 (2013; Zbl 1295.52009) Full Text: DOI arXiv
Kakihara, Satoshi; Ohara, Atsumi; Tsuchiya, Takashi Information geometry and interior-point algorithms in semidefinite programs and symmetric cone programs. (English) Zbl 1322.90112 J. Optim. Theory Appl. 157, No. 3, 749-780 (2013). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C51 90C22 PDFBibTeX XMLCite \textit{S. Kakihara} et al., J. Optim. Theory Appl. 157, No. 3, 749--780 (2013; Zbl 1322.90112) Full Text: DOI
Sanyal, Raman On the derivative cones of polyhedral cones. (English) Zbl 1264.90135 Adv. Geom. 13, No. 2, 315-321 (2013). MSC: 90C22 52A41 52B99 PDFBibTeX XMLCite \textit{R. Sanyal}, Adv. Geom. 13, No. 2, 315--321 (2013; Zbl 1264.90135) Full Text: DOI arXiv
Jarre, Florian Elementary optimality conditions for nonlinear SDPs. (English) Zbl 1334.90106 Anjos, Miguel F. (ed.) et al., Handbook on semidefinite, conic and polynomial optimization. New York, NY: Springer (ISBN 978-1-4614-0768-3/hbk; 978-1-4614-0769-0/ebook). International Series in Operations Research & Management Science 166, 455-470 (2012). MSC: 90C22 90C30 90-02 PDFBibTeX XMLCite \textit{F. Jarre}, Int. Ser. Oper. Res. Manag. Sci. 166, 455--470 (2012; Zbl 1334.90106) Full Text: DOI
Guo, Feng; Kaltofen, Erich L.; Zhi, Lihong Certificates of impossibility of Hilbert-Artin representations of a given degree for definite polynomials and functions. (English) Zbl 1323.65068 van der Hoeven, Joris (ed.) et al., Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22–25, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1269-1). 195-202 (2012). MSC: 65K05 90C22 PDFBibTeX XMLCite \textit{F. Guo} et al., in: Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22--25, 2012. New York, NY: Association for Computing Machinery (ACM). 195--202 (2012; Zbl 1323.65068) Full Text: DOI arXiv
Armbruster, Michael; Fügenschuh, Marzena; Helmberg, Christoph; Martin, Alexander LP and SDP branch-and-cut algorithms for the minimum graph bisection problem: a computational comparison. (English) Zbl 1275.90053 Math. Program. Comput. 4, No. 3, 275-306 (2012). MSC: 90C22 90C57 90C05 90C06 90C10 90C27 PDFBibTeX XMLCite \textit{M. Armbruster} et al., Math. Program. Comput. 4, No. 3, 275--306 (2012; Zbl 1275.90053) Full Text: DOI
Jeyakumar, V.; Li, G. Exact SDP relaxations for classes of nonlinear semidefinite programming problems. (English) Zbl 1287.90047 Oper. Res. Lett. 40, No. 6, 529-536 (2012). MSC: 90C22 PDFBibTeX XMLCite \textit{V. Jeyakumar} and \textit{G. Li}, Oper. Res. Lett. 40, No. 6, 529--536 (2012; Zbl 1287.90047) Full Text: DOI
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S. The convex geometry of linear inverse problems. (English) Zbl 1280.52008 Found. Comput. Math. 12, No. 6, 805-849 (2012). Reviewer: Igor V. Konnov (Kazan) MSC: 52A41 41A45 90C25 90C22 60D05 PDFBibTeX XMLCite \textit{V. Chandrasekaran} et al., Found. Comput. Math. 12, No. 6, 805--849 (2012; Zbl 1280.52008) Full Text: DOI arXiv Link
Lasserre, Jean B.; Thanh, Tung Phan A “joint + marginal” heuristic for 0/1 programs. (English) Zbl 1257.90051 J. Glob. Optim. 54, No. 4, 729-744 (2012). MSC: 90C09 90C59 PDFBibTeX XMLCite \textit{J. B. Lasserre} and \textit{T. P. Thanh}, J. Glob. Optim. 54, No. 4, 729--744 (2012; Zbl 1257.90051) Full Text: DOI HAL
Machacek, John; Jibrin, Shafiu An interior point method for solving semidefinite programs using cutting planes and weighted analytic centers. (English) Zbl 1254.90155 J. Appl. Math. 2012, Article ID 946893, 21 p. (2012). MSC: 90C22 90C51 90C57 PDFBibTeX XMLCite \textit{J. Machacek} and \textit{S. Jibrin}, J. Appl. Math. 2012, Article ID 946893, 21 p. (2012; Zbl 1254.90155) 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
Sherali, Hanif D.; Dalkiran, Evrim; Desai, Jitamitra Enhancing RLT-based relaxations for polynomial programming problems via a new class of \(v\)-semidefinite cuts. (English) Zbl 1250.90092 Comput. Optim. Appl. 52, No. 2, 483-506 (2012). MSC: 90C30 90C57 PDFBibTeX XMLCite \textit{H. D. Sherali} et al., Comput. Optim. Appl. 52, No. 2, 483--506 (2012; Zbl 1250.90092) Full Text: DOI
Bampou, Dimitra; Kuhn, Daniel Polynomial approximations for continuous linear programs. (English) Zbl 1246.93059 SIAM J. Optim. 22, No. 2, 628-648 (2012). MSC: 93C05 49M29 90C05 90C22 PDFBibTeX XMLCite \textit{D. Bampou} and \textit{D. Kuhn}, SIAM J. Optim. 22, No. 2, 628--648 (2012; Zbl 1246.93059) Full Text: DOI
Sherali, Hanif D.; Dalkiran, Evrim; Liberti, Leo Reduced RLT representations for nonconvex polynomial programming problems. (English) Zbl 1244.90185 J. Glob. Optim. 52, No. 3, 447-469 (2012). MSC: 90C26 PDFBibTeX XMLCite \textit{H. D. Sherali} et al., J. Glob. Optim. 52, No. 3, 447--469 (2012; Zbl 1244.90185) Full Text: DOI
Maciel, Thiago O.; Cesário, André T.; Vianna, Reinaldo O. Variational quantum tomography with incomplete information by means of semidefinite programs. (English) Zbl 1266.81043 Int. J. Mod. Phys. C 22, No. 12, 1361-1372 (2011). MSC: 81P50 90C25 81P15 PDFBibTeX XMLCite \textit{T. O. Maciel} et al., Int. J. Mod. Phys. C 22, No. 12, 1361--1372 (2011; Zbl 1266.81043) Full Text: DOI arXiv
Adasme, Pablo; Lisser, Abdel; Soto, Ismael Robust semidefinite relaxations for a quadratic OFDMA resource allocation scheme. (English) Zbl 1208.90127 Comput. Oper. Res. 38, No. 10, 1377-1399 (2011). MSC: 90C20 90C22 90C31 PDFBibTeX XMLCite \textit{P. Adasme} et al., Comput. Oper. Res. 38, No. 10, 1377--1399 (2011; Zbl 1208.90127) Full Text: DOI
Bauschke, Heinz H.; Combettes, Patrick L. Convex analysis and monotone operator theory in Hilbert spaces. (English) Zbl 1218.47001 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. Berlin: Springer (ISBN 978-1-4419-9466-0/hbk; 978-1-4419-9467-7/ebook). xvi, 468 p. (2011). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 47-02 47H05 47H09 47N10 52A41 46C05 90C25 90C30 26B25 41A65 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{P. L. Combettes}, Convex analysis and monotone operator theory in Hilbert spaces. Berlin: Springer (2011; Zbl 1218.47001) Full Text: DOI
Li, G. Y.; Jeyakumar, V.; Lee, G. M. Robust conjugate duality for convex optimization under uncertainty with application to data classification. (English) Zbl 1233.90231 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2327-2341 (2011). MSC: 90C22 90C25 90C46 PDFBibTeX XMLCite \textit{G. Y. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2327--2341 (2011; Zbl 1233.90231) Full Text: DOI
Engau, Alexander; Anjos, Miguel F.; Vannelli, Anthony An improved interior-point cutting-plane method for binary quadratic optimization. (English) Zbl 1237.90179 Haouari, M. (ed.) et al., ISCO 2010. International symposium on combinatorial optimization. Papers based on the presentations at the symposium, Hammamet, Tunesia, March 24–26, 2010. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 36, 743-750 (2010). MSC: 90C22 90C27 90C31 PDFBibTeX XMLCite \textit{A. Engau} et al., Electron. Notes Discrete Math. 36, 743--750 (2010; Zbl 1237.90179) Full Text: DOI
Journée, M.; Bach, F.; Absil, P.-A.; Sepulchre, R. Low-rank optimization on the cone of positive semidefinite matrices. (English) Zbl 1215.65108 SIAM J. Optim. 20, No. 5, 2327-2351 (2010). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C25 90C22 90C27 62H25 90C26 PDFBibTeX XMLCite \textit{M. Journée} et al., SIAM J. Optim. 20, No. 5, 2327--2351 (2010; Zbl 1215.65108) Full Text: DOI arXiv
Luo, Zhi-Quan; Zhang, Shuzhong A semidefinite relaxation scheme for multivariate quartic polynomial optimization with quadratic constraints. (English) Zbl 1201.90147 SIAM J. Optim. 20, No. 4, 1716-1736 (2010). MSC: 90C20 90C22 68W20 PDFBibTeX XMLCite \textit{Z.-Q. Luo} and \textit{S. Zhang}, SIAM J. Optim. 20, No. 4, 1716--1736 (2010; Zbl 1201.90147) Full Text: DOI Link
Tunçel, Levent; Nemirovski, Arkadi Self-concordant barriers for convex approximations of structured convex sets. (English) Zbl 1225.90100 Found. Comput. Math. 10, No. 5, 485-525 (2010). MSC: 90C25 90C51 90C22 90C05 52A41 49M37 90C59 90C06 PDFBibTeX XMLCite \textit{L. Tunçel} and \textit{A. Nemirovski}, Found. Comput. Math. 10, No. 5, 485--525 (2010; Zbl 1225.90100) Full Text: DOI
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu The resolvent average for positive semidefinite matrices. (English) Zbl 1191.15024 Linear Algebra Appl. 432, No. 7, 1757-1771 (2010). Reviewer: Igor Klep (Ljubljana) MSC: 15B48 15A45 47A64 52A41 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Linear Algebra Appl. 432, No. 7, 1757--1771 (2010; Zbl 1191.15024) Full Text: DOI arXiv
Kim, Sunyoung; Kojima, Masakazu Solving polynomial least squares problems via semidefinite programming relaxations. (English) Zbl 1181.90224 J. Glob. Optim. 46, No. 1, 1-23 (2010). MSC: 90C26 90C22 PDFBibTeX XMLCite \textit{S. Kim} and \textit{M. Kojima}, J. Glob. Optim. 46, No. 1, 1--23 (2010; Zbl 1181.90224) Full Text: DOI
Arora, Sanjeev; Rao, Satish; Vazirani, Umesh Expander flows, geometric embeddings and graph partitioning. (English) Zbl 1325.68255 J. ACM 56, No. 2, Article No. 5, 37 p. (2009). MSC: 68W25 05C70 05C85 90B10 90C22 PDFBibTeX XMLCite \textit{S. Arora} et al., J. ACM 56, No. 2, Article No. 5, 37 p. (2009; Zbl 1325.68255) Full Text: DOI
Jeyakumar, Vaithilingam; Li, Guo Yin New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs. (English) Zbl 1239.90084 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2239-e2249 (2009). MSC: 90C25 90C22 PDFBibTeX XMLCite \textit{V. Jeyakumar} and \textit{G. Y. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2239--e2249 (2009; Zbl 1239.90084) Full Text: DOI