Akinwande, Grace; Reitzner, Matthias Multivariate central limit theorems for random simplicial complexes. (English) Zbl 07304595 Adv. Appl. Math. 121, Article ID 102076, 27 p. (2020). MSC: 60D05 60F05 55U10 PDF BibTeX XML Cite \textit{G. Akinwande} and \textit{M. Reitzner}, Adv. Appl. Math. 121, Article ID 102076, 27 p. (2020; Zbl 07304595) Full Text: DOI
Blekherman, Grigoriy; Kummer, Mario; Riener, Cordian; Schweighofer, Markus; Vinzant, Cynthia Generalized eigenvalue methods for Gaussian quadrature rules. (Méthodes de valeurs propres généralisées pour les formules de quadrature de Gauss.) (English. French summary) Zbl 07300120 Ann. Henri Lebesgue 3, 1327-1341 (2020). MSC: 65D32 14H50 14P05 15A22 PDF BibTeX XML Cite \textit{G. Blekherman} et al., Ann. Henri Lebesgue 3, 1327--1341 (2020; Zbl 07300120) Full Text: DOI
Jiao, Chunxi; Kawai, Reiichiro Computable primal and dual bounds for stochastic control. (English) Zbl 07283572 SIAM J. Control Optim. 58, No. 6, 3709-3733 (2020). MSC: 93E20 93C20 90C05 PDF BibTeX XML Cite \textit{C. Jiao} and \textit{R. Kawai}, SIAM J. Control Optim. 58, No. 6, 3709--3733 (2020; Zbl 07283572) 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
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 PDF BibTeX XML Cite \textit{A. A. Ahmadi} and \textit{J. Zhang}, Math. Program. 184, No. 1--2 (A), 221--241 (2020; Zbl 1451.90176) Full Text: DOI
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
Zhou, Anwa; Fan, Jinyan; Wang, Qingwen Completely positive tensors in the complex field. (English) Zbl 1447.15025 Sci. China, Math. 63, No. 6, 1219-1234 (2020). MSC: 15A69 15B48 44A60 90C22 PDF BibTeX XML Cite \textit{A. Zhou} et al., Sci. China, Math. 63, No. 6, 1219--1234 (2020; Zbl 1447.15025) Full Text: DOI
Zhou, Anwa; Fan, Jinyan; Zhou, Guangming Hermitian completely positive matrices. (English) Zbl 1448.15049 Linear Algebra Appl. 604, 187-209 (2020). MSC: 15B57 15A23 44A60 90C22 PDF BibTeX XML Cite \textit{A. Zhou} et al., Linear Algebra Appl. 604, 187--209 (2020; Zbl 1448.15049) Full Text: DOI
Verdugo, Victor; Verschae, José; Wiese, Andreas Breaking symmetries to rescue sum of squares in the case of makespan scheduling. (English) Zbl 1453.90079 Math. Program. 183, No. 1-2 (B), 583-618 (2020). MSC: 90B35 68W25 90C23 90C59 PDF BibTeX XML Cite \textit{V. Verdugo} et al., Math. Program. 183, No. 1--2 (B), 583--618 (2020; Zbl 1453.90079) Full Text: DOI
Bienstock, Daniel; Chen, Chen; Muñoz, Gonzalo Outer-product-free sets for polynomial optimization and oracle-based cuts. (English) Zbl 1450.90024 Math. Program. 183, No. 1-2 (B), 105-148 (2020). MSC: 90C23 90C30 90C57 PDF BibTeX XML Cite \textit{D. Bienstock} et al., Math. Program. 183, No. 1--2 (B), 105--148 (2020; Zbl 1450.90024) Full Text: DOI
Jiao, Liguo; Lee, Jae Hyoung; Zhou, Yuying A hybrid approach for finding efficient solutions in vector optimization with SOS-convex polynomials. (English) Zbl 07186962 Oper. Res. Lett. 48, No. 2, 188-194 (2020). MSC: 90 PDF BibTeX XML Cite \textit{L. Jiao} et al., Oper. Res. Lett. 48, No. 2, 188--194 (2020; Zbl 07186962) Full Text: DOI
Zhao, Ruixue; Fan, Jinyan Higher-degree tensor eigenvalue complementarity problems. (English) Zbl 07181822 Comput. Optim. Appl. 75, No. 3, 799-816 (2020). Reviewer: Doina Carp (Bucureşti) MSC: 65K10 15A18 65F15 90C22 PDF BibTeX XML Cite \textit{R. Zhao} and \textit{J. Fan}, Comput. Optim. Appl. 75, No. 3, 799--816 (2020; Zbl 07181822) Full Text: DOI
Wang, Xiao; Zhang, Xinzhen; Zhou, Guangming SDP relaxation algorithms for \(\mathbf{P(P}_0)\)-tensor detection. (English) Zbl 07181819 Comput. Optim. Appl. 75, No. 3, 739-752 (2020). MSC: 90C33 15A69 90C22 PDF BibTeX XML Cite \textit{X. Wang} et al., Comput. Optim. Appl. 75, No. 3, 739--752 (2020; Zbl 07181819) 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
Cheng, Lulu; Zhang, Xinzhen A semidefinite relaxation method for second-order cone polynomial complementarity problems. (English) Zbl 1441.15015 Comput. Optim. Appl. 75, No. 3, 629-647 (2020). MSC: 15A69 15A18 90C22 90C33 PDF BibTeX XML Cite \textit{L. Cheng} and \textit{X. Zhang}, Comput. Optim. Appl. 75, No. 3, 629--647 (2020; Zbl 1441.15015) Full Text: DOI
Klep, Igor; Nie, Jiawang A matrix Positivstellensatz with lifting polynomials. (English) Zbl 07154040 SIAM J. Optim. 30, No. 1, 240-261 (2020). MSC: 14P10 90C22 13J30 52A20 PDF BibTeX XML Cite \textit{I. Klep} and \textit{J. Nie}, SIAM J. Optim. 30, No. 1, 240--261 (2020; Zbl 07154040) Full Text: DOI arXiv
Guo, Feng; Phạm, Ti’ên-Son On types of degenerate critical points of real polynomial functions. (English) Zbl 1451.13079 J. Symb. Comput. 99, 108-126 (2020). MSC: 13P10 14P10 65K05 68W30 PDF BibTeX XML Cite \textit{F. Guo} and \textit{T.-S. Phạm}, J. Symb. Comput. 99, 108--126 (2020; Zbl 1451.13079) Full Text: DOI
de Klerk, Etienne; Laurent, Monique A survey of semidefinite programming approaches to the generalized problem of moments and their error analysis. (English) Zbl 1436.90099 Araujo, Carolina (ed.) et al., World women in mathematics 2018. Proceedings of the first world meeting for women in mathematics (WM)\({}^2\), a satellite conference of ICM, Rio de Janeiro, Brazil, July 31, 2018. Dedicated to the memory of Maryam Mirzakhani. Cham: Springer. Assoc. Women Math. Ser. 20, 17-56 (2019). MSC: 90C22 65K05 90-02 PDF BibTeX XML Cite \textit{E. de Klerk} and \textit{M. Laurent}, Assoc. Women Math. Ser. 20, 17--56 (2019; Zbl 1436.90099) Full Text: DOI
Ahmadi, Amir Ali; Hall, Georgina On the construction of converging hierarchies for polynomial optimization based on certificates of global positivity. (English) Zbl 1437.90127 Math. Oper. Res. 44, No. 4, 1192-1207 (2019). MSC: 90C26 90C22 14Q30 14P05 90C05 90-03 90C33 90C90 PDF BibTeX XML Cite \textit{A. A. Ahmadi} and \textit{G. Hall}, Math. Oper. Res. 44, No. 4, 1192--1207 (2019; Zbl 1437.90127) Full Text: DOI
El-Azhar, H.; Harrat, A.; Idrissi, K.; Zerouali, E. H. The quintic complex moment problem. (English) Zbl 1441.47013 Oper. Matrices 13, No. 4, 1003-1022 (2019). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A57 15A83 30E05 44A60 PDF BibTeX XML Cite \textit{H. El-Azhar} et al., Oper. Matrices 13, No. 4, 1003--1022 (2019; Zbl 1441.47013) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{T. D. Chuong} et al., J. Glob. Optim. 75, No. 4, 885--919 (2019; Zbl 1433.90122) Full Text: DOI
Kriel, Tom-Lukas An introduction to matrix convex sets and free spectrahedra. (English) Zbl 1435.14052 Complex Anal. Oper. Theory 13, No. 7, 3251-3335 (2019). MSC: 14P10 46L07 47L07 13J30 52A01 PDF BibTeX XML Cite \textit{T.-L. Kriel}, Complex Anal. Oper. Theory 13, No. 7, 3251--3335 (2019; Zbl 1435.14052) Full Text: DOI arXiv
Nie, Jiawang Tight relaxations for polynomial optimization and Lagrange multiplier expressions. (English) Zbl 07121173 Math. Program. 178, No. 1-2 (A), 1-37 (2019). MSC: 65K05 90C22 90C26 PDF BibTeX XML Cite \textit{J. Nie}, Math. Program. 178, No. 1--2 (A), 1--37 (2019; Zbl 07121173) Full Text: DOI arXiv
Gribling, Sander; de Laat, David; Laurent, Monique Lower bounds on matrix factorization ranks via noncommutative polynomial optimization. (English) Zbl 07118503 Found. Comput. Math. 19, No. 5, 1013-1070 (2019). MSC: 65 68 90C22 15A23 PDF BibTeX XML Cite \textit{S. Gribling} et al., Found. Comput. Math. 19, No. 5, 1013--1070 (2019; Zbl 07118503) Full Text: DOI arXiv
Zhou, Anwa; Fan, Jinyan A hierarchy of semidefinite relaxations for completely positive tensor optimization problems. (English) Zbl 1434.90127 J. Glob. Optim. 75, No. 2, 417-437 (2019). MSC: 90C22 15A69 44A60 90C26 PDF BibTeX XML Cite \textit{A. Zhou} and \textit{J. Fan}, J. Glob. Optim. 75, No. 2, 417--437 (2019; Zbl 1434.90127) Full Text: DOI
Zhou, Anwa; Fan, Jinyan A semidefinite relaxation algorithm for checking completely positive separable matrices. (English) Zbl 1438.15032 J. Ind. Manag. Optim. 15, No. 2, 893-908 (2019). MSC: 15A23 15B48 44A60 90C22 PDF BibTeX XML Cite \textit{A. Zhou} and \textit{J. Fan}, J. Ind. Manag. Optim. 15, No. 2, 893--908 (2019; Zbl 1438.15032) Full Text: DOI
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun Test of copositive tensors. (English) Zbl 07084398 J. Ind. Manag. Optim. 15, No. 2, 881-891 (2019). MSC: 65 PDF BibTeX XML Cite \textit{L. Li} et al., J. Ind. Manag. Optim. 15, No. 2, 881--891 (2019; Zbl 07084398) Full Text: DOI
Di Dio, Philipp J. The multidimensional truncated moment problem: Gaussian and log-normal mixtures, their Carathéodory numbers, and set of atoms. (English) Zbl 1423.44001 Proc. Am. Math. Soc. 147, No. 7, 3021-3038 (2019). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 44A60 47A57 PDF BibTeX XML Cite \textit{P. J. Di Dio}, Proc. Am. Math. Soc. 147, No. 7, 3021--3038 (2019; Zbl 1423.44001) Full Text: DOI
Dickinson, Peter J. C.; Povh, Janez A new approximation hierarchy for polynomial conic optimization. (English) Zbl 1414.90213 Comput. Optim. Appl. 73, No. 1, 37-67 (2019). MSC: 90C05 11E25 13P25 14P10 90C22 90C30 PDF BibTeX XML Cite \textit{P. J. C. Dickinson} and \textit{J. Povh}, Comput. Optim. Appl. 73, No. 1, 37--67 (2019; Zbl 1414.90213) Full Text: DOI
Ferreira, O. P.; Németh, S. Z. On the spherical convexity of quadratic functions. (English) Zbl 1434.90133 J. Glob. Optim. 73, No. 3, 537-545 (2019). MSC: 90C25 90C33 PDF BibTeX XML Cite \textit{O. P. Ferreira} and \textit{S. Z. Németh}, J. Glob. Optim. 73, No. 3, 537--545 (2019; Zbl 1434.90133) Full Text: DOI arXiv
Adams, Warren; Gupte, Akshay; Xu, Yibo Error bounds for monomial convexification in polynomial optimization. (English) Zbl 1412.90119 Math. Program. 175, No. 1-2 (A), 355-393 (2019). MSC: 90C26 65G99 52A27 PDF BibTeX XML Cite \textit{W. Adams} et al., Math. Program. 175, No. 1--2 (A), 355--393 (2019; Zbl 1412.90119) Full Text: DOI
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
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
Harrow, Aram W.; Natarajan, Anand; Wu, Xiaodi Limitations of semidefinite programs for separable states and entangled games. (English) Zbl 1410.81012 Commun. Math. Phys. 366, No. 2, 423-468 (2019). MSC: 81P45 90C22 81P40 91A05 PDF BibTeX XML Cite \textit{A. W. Harrow} et al., Commun. Math. Phys. 366, No. 2, 423--468 (2019; Zbl 1410.81012) Full Text: DOI
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
de Klerk, Etienne; Laurent, Monique Comparison of Lasserre’s measure-based bounds for polynomial optimization to bounds obtained by simulated annealing. (English) Zbl 1440.90044 Math. Oper. Res. 43, No. 4, 1317-1325 (2018). MSC: 90C23 90C22 90C26 90C30 PDF BibTeX XML Cite \textit{E. de Klerk} and \textit{M. Laurent}, Math. Oper. Res. 43, No. 4, 1317--1325 (2018; Zbl 1440.90044) Full Text: DOI
Idrissi, K.; Zerouali, E. H. Charges solve the truncated complex moment problem. (English) Zbl 07039290 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 4, Article ID 1850027, 16 p. (2018). MSC: 47A57 30E05 44A60 42A82 PDF BibTeX XML Cite \textit{K. Idrissi} and \textit{E. H. Zerouali}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 4, Article ID 1850027, 16 p. (2018; Zbl 07039290) Full Text: DOI
Pham, Phu Phat; Pham, Tien Son Compactness criteria for real algebraic sets and Newton polyhedra. (English) Zbl 1430.14109 Forum Math. 30, No. 6, 1387-1395 (2018). Reviewer: Maria Michalska (Łódź) MSC: 14P25 PDF BibTeX XML Cite \textit{P. P. Pham} and \textit{T. S. Pham}, Forum Math. 30, No. 6, 1387--1395 (2018; Zbl 1430.14109) Full Text: DOI arXiv
Klep, Igor; Povh, Janez; Volčič, Jurij Minimizer extraction in polynomial optimization is robust. (English) Zbl 1409.90135 SIAM J. Optim. 28, No. 4, 3177-3207 (2018). MSC: 90C22 14P10 13J30 47A57 PDF BibTeX XML Cite \textit{I. Klep} et al., SIAM J. Optim. 28, No. 4, 3177--3207 (2018; Zbl 1409.90135) Full Text: DOI
Mourrain, Bernard Polynomial-exponential decomposition from moments. (English) Zbl 1427.14119 Found. Comput. Math. 18, No. 6, 1435-1492 (2018). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Q20 68W30 47B35 15B05 PDF BibTeX XML Cite \textit{B. Mourrain}, Found. Comput. Math. 18, No. 6, 1435--1492 (2018; Zbl 1427.14119) Full Text: DOI
Kimsey, David P.; Putinar, Mihai Complex orthogonal polynomials and numerical quadrature via hyponormality. (English) Zbl 1400.44008 Comput. Methods Funct. Theory 18, No. 3, 495-510 (2018). MSC: 44A60 PDF BibTeX XML Cite \textit{D. P. Kimsey} and \textit{M. Putinar}, Comput. Methods Funct. Theory 18, No. 3, 495--510 (2018; Zbl 1400.44008) Full Text: DOI
Fan, Jinyan; Nie, Jiawang; Zhou, Anwa Tensor eigenvalue complementarity problems. (English) Zbl 1427.65096 Math. Program. 170, No. 2 (A), 507-539 (2018). MSC: 65K10 15A18 65F15 90C22 90C33 PDF BibTeX XML Cite \textit{J. Fan} et al., Math. Program. 170, No. 2 (A), 507--539 (2018; Zbl 1427.65096) Full Text: DOI arXiv
Marandi, Ahmadreza; Dahl, Joachim; de Klerk, Etienne A numerical evaluation of the bounded degree sum-of-squares hierarchy of Lasserre, Toh, and Yang on the pooling problem. (English) Zbl 1422.90039 Ann. Oper. Res. 265, No. 1, 67-92 (2018). MSC: 90C26 90C22 PDF BibTeX XML Cite \textit{A. Marandi} et al., Ann. Oper. Res. 265, No. 1, 67--92 (2018; Zbl 1422.90039) Full Text: DOI
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 PDF BibTeX XML Cite \textit{T.-L. Kriel} and \textit{M. Schweighofer}, SIAM J. Optim. 28, No. 2, 1796--1816 (2018; Zbl 1397.90296) Full Text: DOI
Zhou, Anwa; Fan, Jinyan Completely positive tensor recovery with minimal nuclear value. (English) Zbl 1391.90465 Comput. Optim. Appl. 70, No. 2, 419-441 (2018). MSC: 90C22 90C30 15A69 65K05 PDF BibTeX XML Cite \textit{A. Zhou} and \textit{J. Fan}, Comput. Optim. Appl. 70, No. 2, 419--441 (2018; Zbl 1391.90465) Full Text: DOI
Raymond, Annie; Singh, Mohit; Thomas, Rekha R. Symmetry in Turán sums of squares polynomials from flag algebras. (English) Zbl 1388.05186 Algebr. Comb. 1, No. 2, 249-274 (2018). MSC: 05D99 12D15 90C22 PDF BibTeX XML Cite \textit{A. Raymond} et al., Algebr. Comb. 1, No. 2, 249--274 (2018; Zbl 1388.05186) Full Text: DOI arXiv
Zhou, Anwa; Zhao, Xin; Fan, Jinyan; Bai, Yanqin Tensor maximal correlation problems. (English) Zbl 1392.62169 J. Glob. Optim. 70, No. 4, 843-858 (2018). MSC: 62H20 65K05 90C22 PDF BibTeX XML Cite \textit{A. Zhou} et al., J. Glob. Optim. 70, No. 4, 843--858 (2018; Zbl 1392.62169) Full Text: DOI
Nie, Jiawang; Zhang, Xinzhen Real eigenvalues of nonsymmetric tensors. (English) Zbl 1397.65057 Comput. Optim. Appl. 70, No. 1, 1-32 (2018). Reviewer: Drahoslava Janovská (Praha) MSC: 65F15 15A18 15A69 90C22 PDF BibTeX XML Cite \textit{J. Nie} and \textit{X. Zhang}, Comput. Optim. Appl. 70, No. 1, 1--32 (2018; Zbl 1397.65057) Full Text: DOI arXiv
Bhardwaj, Abhishek; Zalar, Aljaž The singular bivariate quartic tracial moment problem. (English) Zbl 1445.47013 Complex Anal. Oper. Theory 12, No. 4, 1057-1142 (2018). MSC: 47A57 15A45 13J30 11E25 44A60 15-04 PDF BibTeX XML Cite \textit{A. Bhardwaj} and \textit{A. Zalar}, Complex Anal. Oper. Theory 12, No. 4, 1057--1142 (2018; Zbl 1445.47013) Full Text: DOI
Josz, Cédric; Molzahn, Daniel K. Lasserre hierarchy for large scale polynomial optimization in real and complex variables. (English) Zbl 1395.90196 SIAM J. Optim. 28, No. 2, 1017-1048 (2018). MSC: 90C22 90C06 90C26 28A99 14Q99 47N10 PDF BibTeX XML Cite \textit{C. Josz} and \textit{D. K. Molzahn}, SIAM J. Optim. 28, No. 2, 1017--1048 (2018; Zbl 1395.90196) Full Text: DOI arXiv
Huang, Zheng-Hai; Qi, Liqun Positive definiteness of paired symmetric tensors and elasticity tensors. (English) Zbl 1392.74015 J. Comput. Appl. Math. 338, 22-43 (2018). MSC: 74B20 15A72 15B57 PDF BibTeX XML Cite \textit{Z.-H. Huang} and \textit{L. Qi}, J. Comput. Appl. Math. 338, 22--43 (2018; Zbl 1392.74015) Full Text: DOI arXiv
Lee, Jae Hyoung; Jiao, Liguo Solving fractional multicriteria optimization problems with sum of squares convex polynomial data. (English) Zbl 1390.90532 J. Optim. Theory Appl. 176, No. 2, 428-455 (2018). MSC: 90C32 90C29 65K05 90C22 PDF BibTeX XML Cite \textit{J. H. Lee} and \textit{L. Jiao}, J. Optim. Theory Appl. 176, No. 2, 428--455 (2018; Zbl 1390.90532) Full Text: DOI
di Dio, Philipp J.; Schmüdgen, Konrad The multidimensional truncated moment problem: atoms, determinacy, and core variety. (English) Zbl 1451.44007 J. Funct. Anal. 274, No. 11, 3124-3148 (2018). Reviewer: Maria Infusino (Konstanz) MSC: 44A60 14P10 PDF BibTeX XML Cite \textit{P. J. di Dio} and \textit{K. Schmüdgen}, J. Funct. Anal. 274, No. 11, 3124--3148 (2018; Zbl 1451.44007) Full Text: DOI
Kunert, Aaron; Scheiderer, Claus Extreme positive ternary sextics. (English) Zbl 1418.14015 Trans. Am. Math. Soc. 370, No. 6, 3997-4013 (2018). MSC: 14P05 14C22 14H45 PDF BibTeX XML Cite \textit{A. Kunert} and \textit{C. Scheiderer}, Trans. Am. Math. Soc. 370, No. 6, 3997--4013 (2018; Zbl 1418.14015) Full Text: DOI arXiv
di Dio, Philipp J.; Schmüdgen, Konrad The multidimensional truncated moment problem: Carathéodory numbers. (English) Zbl 1404.44013 J. Math. Anal. Appl. 461, No. 2, 1606-1638 (2018). Reviewer: Mihai Putinar (Santa Barbara) MSC: 44A60 PDF BibTeX XML Cite \textit{P. J. di Dio} and \textit{K. Schmüdgen}, J. Math. Anal. Appl. 461, No. 2, 1606--1638 (2018; Zbl 1404.44013) Full Text: DOI
Riener, Cordian; Schweighofer, Markus Optimization approaches to quadrature: new characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions. (English) Zbl 1386.65092 J. Complexity 45, 22-54 (2018). MSC: 65D30 PDF BibTeX XML Cite \textit{C. Riener} and \textit{M. Schweighofer}, J. Complexity 45, 22--54 (2018; Zbl 1386.65092) Full Text: DOI arXiv
Raymond, Annie; Saunderson, James; Singh, Mohit; Thomas, Rekha R. Symmetric sums of squares over \(k\)-subset hypercubes. (English) Zbl 1383.05306 Math. Program. 167, No. 2 (A), 315-354 (2018). MSC: 05D99 12D15 20C30 90C22 90C27 PDF BibTeX XML Cite \textit{A. Raymond} et al., Math. Program. 167, No. 2 (A), 315--354 (2018; Zbl 1383.05306) Full Text: DOI arXiv
Behrends, Sönke; Hübner, Ruth; Schöbel, Anita Norm bounds and underestimators for unconstrained polynomial integer minimization. (English) Zbl 1408.90324 Math. Methods Oper. Res. 87, No. 1, 73-107 (2018). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C57 90C10 90B80 PDF BibTeX XML Cite \textit{S. Behrends} et al., Math. Methods Oper. Res. 87, No. 1, 73--107 (2018; Zbl 1408.90324) Full Text: DOI arXiv
Zhang, Xinzhen; Zhou, Guanglu; Caccetta, Louis; Alqahtani, Mohammed Approximation algorithms for nonnegative polynomial optimization problems over unit spheres. (English) Zbl 1391.90669 Front. Math. China 12, No. 6, 1409-1426 (2017). MSC: 90C60 90C25 90C30 65K10 PDF BibTeX XML Cite \textit{X. Zhang} et al., Front. Math. China 12, No. 6, 1409--1426 (2017; Zbl 1391.90669) Full Text: DOI
O’Donnell, Ryan SOS is not obviously automatizable, even approximately. (English) Zbl 1402.90116 Papadimitriou, Christos H. (ed.), 8th innovations in theoretical computer science conference, ITCS 2017, Berkeley, CA, USA, January 9–11, 2017. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-029-3). LIPIcs – Leibniz International Proceedings in Informatics 67, Article 59, 10 p. (2017). MSC: 90C22 PDF BibTeX XML Cite \textit{R. O'Donnell}, LIPIcs -- Leibniz Int. Proc. Inform. 67, Article 59, 10 p. (2017; Zbl 1402.90116) Full Text: DOI
Fialkow, Lawrence A. The core variety of a multisequence in the truncated moment problem. (English) Zbl 06864226 J. Math. Anal. Appl. 456, No. 2, 946-969 (2017). MSC: 47A57 44A60 47A20 15 PDF BibTeX XML Cite \textit{L. A. Fialkow}, J. Math. Anal. Appl. 456, No. 2, 946--969 (2017; Zbl 06864226) Full Text: DOI
Kriel, Tom-Lukas A new proof for the existence of degree bounds for Putinar’s positivstellensatz. (English) Zbl 1426.11025 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 697, 203-209 (2017). MSC: 11E25 14P10 PDF BibTeX XML Cite \textit{T.-L. Kriel}, Contemp. Math. 697, 203--209 (2017; Zbl 1426.11025) 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 PDF BibTeX XML Cite \textit{D. Cifuentes} and \textit{P. A. Parrilo}, SIAM J. Optim. 27, No. 4, 2381--2404 (2017; Zbl 1386.90099) Full Text: DOI arXiv
Xia, Wei; Zuluaga, Luis F. Completely positive reformulations of polynomial optimization problems with linear constraints. (English) Zbl 1408.90246 Optim. Lett. 11, No. 7, 1229-1241 (2017). MSC: 90C26 PDF BibTeX XML Cite \textit{W. Xia} and \textit{L. F. Zuluaga}, Optim. Lett. 11, No. 7, 1229--1241 (2017; Zbl 1408.90246) Full Text: DOI
Nie, Jiawang Symmetric tensor nuclear norms. (English) Zbl 1372.15023 SIAM J. Appl. Algebra Geom. 1, No. 1, 599-625 (2017). MSC: 15A69 65K05 90C22 PDF BibTeX XML Cite \textit{J. Nie}, SIAM J. Appl. Algebra Geom. 1, No. 1, 599--625 (2017; Zbl 1372.15023) Full Text: DOI arXiv
Dressler, Mareike; Iliman, Sadik; de Wolff, Timo A Positivstellensatz for sums of nonnegative circuit polynomials. (English) Zbl 1372.14051 SIAM J. Appl. Algebra Geom. 1, No. 1, 536-555 (2017). MSC: 14P10 90C25 12D05 52B20 PDF BibTeX XML Cite \textit{M. Dressler} et al., SIAM J. Appl. Algebra Geom. 1, No. 1, 536--555 (2017; Zbl 1372.14051) Full Text: DOI arXiv
Lee, Gue Myung; Phạm, Tiên So’n Generic properties for semialgebraic programs. (English) Zbl 1396.90065 SIAM J. Optim. 27, No. 3, 2061-2084 (2017). MSC: 90C26 90C31 14P10 49K40 PDF BibTeX XML Cite \textit{G. M. Lee} and \textit{T. S. Phạm}, SIAM J. Optim. 27, No. 3, 2061--2084 (2017; Zbl 1396.90065) Full Text: DOI
Infusino, M.; Kuna, T.; Lebowitz, J. L.; Speer, E. R. The truncated moment problem on \(\mathbb{N}_0\). (English) Zbl 1373.60005 J. Math. Anal. Appl. 452, No. 1, 443-468 (2017). MSC: 60B05 44A60 PDF BibTeX XML Cite \textit{M. Infusino} et al., J. Math. Anal. Appl. 452, No. 1, 443--468 (2017; Zbl 1373.60005) Full Text: DOI arXiv
Brandão, Fernando G. S. L.; Harrow, Aram W. Quantum de Finetti theorems under local measurements with applications. (English) Zbl 1380.81068 Commun. Math. Phys. 353, No. 2, 469-506 (2017). Reviewer: Hichem Eleuch (College Station) MSC: 81P45 81P40 81P15 62C12 PDF BibTeX XML Cite \textit{F. G. S. L. Brandão} and \textit{A. W. Harrow}, Commun. Math. Phys. 353, No. 2, 469--506 (2017; Zbl 1380.81068) Full Text: DOI
Ahmadi, Amir Ali; Hall, Georgina Sum of squares basis pursuit with linear and second order cone programming. (English) Zbl 1393.90081 Harrington, Heather A. (ed.) et al., Algebraic and geometric methods in discrete mathematics. AMS special session on algebraic and geometric methods in applied discrete mathematics, San Antonio, TX, USA, January 11, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2321-6/pbk; 978-1-4704-3743-5/ebook). Contemporary Mathematics 685, 27-53 (2017). MSC: 90C22 90C06 90C05 PDF BibTeX XML Cite \textit{A. A. Ahmadi} and \textit{G. Hall}, Contemp. Math. 685, 27--53 (2017; Zbl 1393.90081) Full Text: DOI arXiv
Kurpisz, Adam; Leppänen, Samuli; Mastrolilli, Monaldo On the hardest problem formulations for the 0/1 Lasserre hierarchy. (English) Zbl 1359.90088 Math. Oper. Res. 42, No. 1, 135-143 (2017). MSC: 90C22 90C05 PDF BibTeX XML Cite \textit{A. Kurpisz} et al., Math. Oper. Res. 42, No. 1, 135--143 (2017; Zbl 1359.90088) Full Text: DOI
de Klerk, Etienne; Laurent, Monique; Sun, Zhao Convergence analysis for Lasserre’s measure-based hierarchy of upper bounds for polynomial optimization. (English) Zbl 1358.90092 Math. Program. 162, No. 1-2 (A), 363-392 (2017). MSC: 90C22 90C26 90C30 PDF BibTeX XML Cite \textit{E. de Klerk} et al., Math. Program. 162, No. 1--2 (A), 363--392 (2017; Zbl 1358.90092) Full Text: DOI arXiv
de Klerk, Etienne; Hess, Roxana; Laurent, Monique Improved convergence rates for Lasserre-type hierarchies of upper bounds for box-constrained polynomial optimization. (English) Zbl 1357.90177 SIAM J. Optim. 27, No. 1, 347-367 (2017). MSC: 90C60 90C56 90C26 PDF BibTeX XML Cite \textit{E. de Klerk} et al., SIAM J. Optim. 27, No. 1, 347--367 (2017; Zbl 1357.90177) Full Text: DOI arXiv
Chen, Bilian; He, Simai; Li, Zhening; Zhang, Shuzhong On new classes of nonnegative symmetric tensors. (English) Zbl 1359.15020 SIAM J. Optim. 27, No. 1, 292-318 (2017). MSC: 15A69 15A63 15B48 PDF BibTeX XML Cite \textit{B. Chen} et al., SIAM J. Optim. 27, No. 1, 292--318 (2017; Zbl 1359.15020) Full Text: DOI
Fan, Jinyan; Zhou, Anwa A semidefinite algorithm for completely positive tensor decomposition. (English) Zbl 1366.65053 Comput. Optim. Appl. 66, No. 2, 267-283 (2017). MSC: 65F30 15A69 90C22 44A60 65K05 PDF BibTeX XML Cite \textit{J. Fan} and \textit{A. Zhou}, Comput. Optim. Appl. 66, No. 2, 267--283 (2017; Zbl 1366.65053) Full Text: DOI
Zalar, Aljaž Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets. (English) Zbl 1362.14060 J. Math. Anal. Appl. 445, No. 1, 32-80 (2017). Reviewer: Mihai Putinar (Santa Barbara) MSC: 14P10 15A22 46L07 47A63 11E25 13J30 46L89 46N10 47L25 PDF BibTeX XML Cite \textit{A. Zalar}, J. Math. Anal. Appl. 445, No. 1, 32--80 (2017; Zbl 1362.14060) Full Text: DOI arXiv
Chen, Haibin; Li, Guoyin; Qi, Liqun Further results on Cauchy tensors and Hankel tensors. (English) Zbl 1410.15048 Appl. Math. Comput. 275, 50-62 (2016). MSC: 15A69 65F99 PDF BibTeX XML Cite \textit{H. Chen} et al., Appl. Math. Comput. 275, 50--62 (2016; Zbl 1410.15048) Full Text: DOI arXiv
Buchanan, Austin Extended formulations for vertex cover. (English) Zbl 1408.90248 Oper. Res. Lett. 44, No. 3, 374-378 (2016). MSC: 90C27 90C35 90C57 PDF BibTeX XML Cite \textit{A. Buchanan}, Oper. Res. Lett. 44, No. 3, 374--378 (2016; Zbl 1408.90248) Full Text: DOI
Kuntz, Juan; Ottobre, Michela; Stan, Guy-Bart; Barahona, Mauricio Bounding stationary averages of polynomial diffusions via semidefinite programming. (English) Zbl 1355.60106 SIAM J. Sci. Comput. 38, No. 6, A3891-A3920 (2016). MSC: 60J60 60H10 60H35 90C22 65C30 PDF BibTeX XML Cite \textit{J. Kuntz} et al., SIAM J. Sci. Comput. 38, No. 6, A3891--A3920 (2016; Zbl 1355.60106) Full Text: DOI arXiv
Luo, Ziyan; Qi, Liqun Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. (English) Zbl 1349.15026 SIAM J. Matrix Anal. Appl. 37, No. 4, 1675-1698 (2016). MSC: 15A18 15A69 15B48 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{L. Qi}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1675--1698 (2016; Zbl 1349.15026) Full Text: DOI
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey Exact algorithms for linear matrix inequalities. (English) Zbl 1356.90102 SIAM J. Optim. 26, No. 4, 2512-2539 (2016). MSC: 90C22 68W30 14Q20 PDF BibTeX XML Cite \textit{D. Henrion} et al., SIAM J. Optim. 26, No. 4, 2512--2539 (2016; Zbl 1356.90102) Full Text: DOI
Stark, Cyril Jakob Global completability with applications to self-consistent quantum tomography. (English) Zbl 1350.81005 Commun. Math. Phys. 348, No. 1, 1-25 (2016). MSC: 81P50 PDF BibTeX XML Cite \textit{C. J. Stark}, Commun. Math. Phys. 348, No. 1, 1--25 (2016; Zbl 1350.81005) Full Text: DOI
Mourrain, Bernard; Schmüdgen, Konrad Flat extensions in \(\ast\)-algebras. (English) Zbl 1364.46047 Proc. Am. Math. Soc. 144, No. 11, 4873-4885 (2016). MSC: 46K05 47A57 46L05 44A60 PDF BibTeX XML Cite \textit{B. Mourrain} and \textit{K. Schmüdgen}, Proc. Am. Math. Soc. 144, No. 11, 4873--4885 (2016; Zbl 1364.46047) Full Text: DOI
Gan, Ting; Dai, Liyun; Xia, Bican; Zhan, Naijun; Kapur, Deepak; Chen, Mingshuai Interpolant synthesis for quadratic polynomial inequalities and combination with EUF. (English) Zbl 06623262 Olivetti, Nicola (ed.) et al., Automated reasoning. 8th international joint conference, IJCAR 2016, Coimbra, Portugal, June 27 – July 2, 2016. Proceedings. Cham: Springer (ISBN 978-3-319-40228-4/pbk; 978-3-319-40229-1/ebook). Lecture Notes in Computer Science 9706. Lecture Notes in Artificial Intelligence, 195-212 (2016). MSC: 68T15 PDF BibTeX XML Cite \textit{T. Gan} et al., Lect. Notes Comput. Sci. 9706, 195--212 (2016; Zbl 06623262) Full Text: DOI
Ghasemi, Mehdi; Kuhlmann, Salma; Marshall, Murray Moment problem in infinitely many variables. (English) Zbl 1355.44006 Isr. J. Math. 212, No. 2, 1012-1012 (2016). Reviewer: Ahmed I. Zayed (Chicago) MSC: 44A60 30E05 PDF BibTeX XML Cite \textit{M. Ghasemi} et al., Isr. J. Math. 212, No. 2, 1012--1012 (2016; Zbl 1355.44006) Full Text: DOI arXiv
Văn Doạt Dang; Hà Huy Vui; Phạm Tiên So’n Well-posedness in unconstrained polynomial optimization problems. (English) Zbl 1344.49043 SIAM J. Optim. 26, No. 3, 1411-1428 (2016). Reviewer: Tullio Zolezzi (Genova) MSC: 49K40 PDF BibTeX XML Cite \textit{Văn Doạt Dang} et al., SIAM J. Optim. 26, No. 3, 1411--1428 (2016; Zbl 1344.49043) Full Text: DOI
Fan, Jinyan; Zhou, Anwa Computing the distance between the linear matrix pencil and the completely positive cone. (English) Zbl 1381.90064 Comput. Optim. Appl. 64, No. 3, 647-670 (2016). MSC: 90C22 15A22 15A23 44A60 90C26 90C59 65K05 PDF BibTeX XML Cite \textit{J. Fan} and \textit{A. Zhou}, Comput. Optim. Appl. 64, No. 3, 647--670 (2016; Zbl 1381.90064) Full Text: DOI
Lê Công-Trình Nonnegative Morse polynomial functions and polynomial optimization. (English) Zbl 1405.14133 Positivity 20, No. 2, 483-498 (2016). MSC: 14P05 14P10 13J30 90C22 PDF BibTeX XML Cite \textit{Lê Công-Trình}, Positivity 20, No. 2, 483--498 (2016; Zbl 1405.14133) Full Text: DOI arXiv
Benavoli, Alessio; Piga, Dario A probabilistic interpretation of set-membership filtering: application to polynomial systems through polytopic bounding. (English) Zbl 1339.93107 Automatica 70, 158-172 (2016). MSC: 93E11 93E10 90C34 PDF BibTeX XML Cite \textit{A. Benavoli} and \textit{D. Piga}, Automatica 70, 158--172 (2016; Zbl 1339.93107) Full Text: DOI arXiv
Nie, Jiawang; Zhang, Xinzhen Positive maps and separable matrices. (English) Zbl 1338.15066 SIAM J. Optim. 26, No. 2, 1236-1256 (2016). MSC: 15B48 65K05 90C22 PDF BibTeX XML Cite \textit{J. Nie} and \textit{X. Zhang}, SIAM J. Optim. 26, No. 2, 1236--1256 (2016; Zbl 1338.15066) Full Text: DOI arXiv
Lee, Gue Myung; Phạm, Tiên Sȯn Stability and genericity for semi-algebraic compact programs. (English) Zbl 1338.90320 J. Optim. Theory Appl. 169, No. 2, 473-495 (2016). MSC: 90C26 90C31 49J45 49J50 49K40 PDF BibTeX XML Cite \textit{G. M. Lee} and \textit{T. S. Phạm}, J. Optim. Theory Appl. 169, No. 2, 473--495 (2016; Zbl 1338.90320) Full Text: DOI
Iliman, Sadik; de Wolff, Timo Lower bounds for polynomials with simplex Newton polytopes based on geometric programming. (English) Zbl 1380.12001 SIAM J. Optim. 26, No. 2, 1128-1146 (2016). Reviewer: Alexander Kovačec (Coimbra) MSC: 12D15 14P99 52B20 90C25 PDF BibTeX XML Cite \textit{S. Iliman} and \textit{T. de Wolff}, SIAM J. Optim. 26, No. 2, 1128--1146 (2016; Zbl 1380.12001) Full Text: DOI arXiv
Abril Bucero, Marta; Bajaj, Chandrajit; Mourrain, Bernard On the construction of general cubature formula by flat extensions. (English) Zbl 1386.65094 Linear Algebra Appl. 502, 104-125 (2016). MSC: 65D32 15B05 65D30 90C22 PDF BibTeX XML Cite \textit{M. Abril Bucero} et al., Linear Algebra Appl. 502, 104--125 (2016; Zbl 1386.65094) Full Text: DOI
Ahmadi, Amir Ali; Majumdar, Anirudha Some applications of polynomial optimization in operations research and real-time decision making. (English) Zbl 1345.90085 Optim. Lett. 10, No. 4, 709-729 (2016). MSC: 90C33 90C22 90C90 PDF BibTeX XML Cite \textit{A. A. Ahmadi} and \textit{A. Majumdar}, Optim. Lett. 10, No. 4, 709--729 (2016; Zbl 1345.90085) Full Text: DOI arXiv
Kellner, Kai; Theobald, Thorsten Sum of squares certificates for containment of \(\mathcal{H}\)-polytopes in \(\mathcal{V}\)-polytopes. (English) Zbl 1347.90066 SIAM J. Discrete Math. 30, No. 2, 763-776 (2016). MSC: 90C22 14P10 90C20 52B11 PDF BibTeX XML Cite \textit{K. Kellner} and \textit{T. Theobald}, SIAM J. Discrete Math. 30, No. 2, 763--776 (2016; Zbl 1347.90066) Full Text: DOI arXiv
Blekherman, Grigoriy; Smith, Gregory G.; Velasco, Mauricio Sums of squares and varieties of minimal degree. (English) Zbl 1388.14156 J. Am. Math. Soc. 29, No. 3, 893-913 (2016). MSC: 14P05 12D15 90C22 PDF BibTeX XML Cite \textit{G. Blekherman} et al., J. Am. Math. Soc. 29, No. 3, 893--913 (2016; Zbl 1388.14156) Full Text: DOI arXiv
Hu, Shenglong; Li, Guoyin; Qi, Liqun A tensor analogy of Yuan’s theorem of the alternative and polynomial optimization with sign structure. (English) Zbl 1338.90317 J. Optim. Theory Appl. 168, No. 2, 446-474 (2016). MSC: 90C26 90C22 15A69 PDF BibTeX XML Cite \textit{S. Hu} et al., J. Optim. Theory Appl. 168, No. 2, 446--474 (2016; Zbl 1338.90317) Full Text: DOI arXiv
Iliman, Sadik; de Wolff, Timo Amoebas, nonnegative polynomials and sums of squares supported on circuits. (English) Zbl 1415.11071 Res. Math. Sci. 3, Paper No. 9, 35 p. (2016). MSC: 11E25 12D15 14M25 14P10 14T05 26C10 52B20 PDF BibTeX XML Cite \textit{S. Iliman} and \textit{T. de Wolff}, Res. Math. Sci. 3, Paper No. 9, 35 p. (2016; Zbl 1415.11071) Full Text: DOI arXiv
Chen, Yannan; Qi, Liqun; Wang, Qun Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors. (English) Zbl 1334.15025 J. Comput. Appl. Math. 302, 356-368 (2016). MSC: 15A18 15A69 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 302, 356--368 (2016; Zbl 1334.15025) Full Text: DOI arXiv