Qu, Zheng; Tang, Xindong A correlatively sparse Lagrange multiplier expression relaxation for polynomial optimization. (English) Zbl 07790172 SIAM J. Optim. 34, No. 1, 127-162 (2024). MSC: 90C23 90C06 90C22 PDFBibTeX XMLCite \textit{Z. Qu} and \textit{X. Tang}, SIAM J. Optim. 34, No. 1, 127--162 (2024; Zbl 07790172) Full Text: DOI arXiv
Dressler, Mareike; Garrote-López, Marina; Montúfar, Guido; Müller, Johannes; Rose, Kemal Algebraic optimization of sequential decision problems. (English) Zbl 07740057 J. Symb. Comput. 121, Article ID 102241, 19 p. (2024). MSC: 62R01 90C23 90C40 PDFBibTeX XMLCite \textit{M. Dressler} et al., J. Symb. Comput. 121, Article ID 102241, 19 p. (2024; Zbl 07740057) Full Text: DOI arXiv
Ngoc Hoang Anh Mai; Lasserre, Jean-Bernard; Magron, Victor A hierarchy of spectral relaxations for polynomial optimization. (English) Zbl 1527.90151 Math. Program. Comput. 15, No. 4, 651-701 (2023). MSC: 90C23 90C22 90C25 14Q30 PDFBibTeX XMLCite \textit{Ngoc Hoang Anh Mai} et al., Math. Program. Comput. 15, No. 4, 651--701 (2023; Zbl 1527.90151) Full Text: DOI arXiv
Zhou, Anwa; Liu, Kun; Fan, Jinyan Semidefinite relaxation methods for tensor absolute value equations. (English) Zbl 1527.15028 SIAM J. Matrix Anal. Appl. 44, No. 4, 1667-1692 (2023). MSC: 15A69 65K05 65F45 90C22 90C26 PDFBibTeX XMLCite \textit{A. Zhou} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1667--1692 (2023; Zbl 1527.15028) Full Text: DOI
Nie, Jiawang; Tang, Xindong; Zhong, Suhan Rational generalized Nash equilibrium problems. (English) Zbl 1522.90083 SIAM J. Optim. 33, No. 3, 1587-1620 (2023). MSC: 90C23 90C33 91A10 65K05 PDFBibTeX XMLCite \textit{J. Nie} et al., SIAM J. Optim. 33, No. 3, 1587--1620 (2023; Zbl 1522.90083) Full Text: DOI arXiv
Yang, Heng; Liang, Ling; Carlone, Luca; Toh, Kim-Chuan An inexact projected gradient method with rounding and lifting by nonlinear programming for solving rank-one semidefinite relaxation of polynomial optimization. (English) Zbl 1522.90033 Math. Program. 201, No. 1-2 (A), 409-472 (2023). MSC: 90C06 90C22 90C23 90C55 PDFBibTeX XMLCite \textit{H. Yang} et al., Math. Program. 201, No. 1--2 (A), 409--472 (2023; Zbl 1522.90033) Full Text: DOI arXiv
Guo, Feng; Jiao, Liguo A new scheme for approximating the weakly efficient solution set of vector rational optimization problems. (English) Zbl 1522.90173 J. Glob. Optim. 86, No. 4, 905-930 (2023). MSC: 90C29 90C32 90C23 90C22 PDFBibTeX XMLCite \textit{F. Guo} and \textit{L. Jiao}, J. Glob. Optim. 86, No. 4, 905--930 (2023; Zbl 1522.90173) Full Text: DOI arXiv
Nie, Jiawang; Tang, Xindong; Yang, Zi; Zhong, Suhan Dehomogenization for completely positive tensors. (English) Zbl 1518.15037 Numer. Algebra Control Optim. 13, No. 2, 340-363 (2023). MSC: 15B48 15A69 90C23 PDFBibTeX XMLCite \textit{J. Nie} et al., Numer. Algebra Control Optim. 13, No. 2, 340--363 (2023; Zbl 1518.15037) Full Text: DOI arXiv
Huang, Lei; Nie, Jiawang; Yuan, Ya-Xiang Generalized truncated moment problems with unbounded sets. (English) Zbl 1519.90161 J. Sci. Comput. 95, No. 1, Paper No. 15, 28 p. (2023). MSC: 90C23 90C22 44A60 47A57 PDFBibTeX XMLCite \textit{L. Huang} et al., J. Sci. Comput. 95, No. 1, Paper No. 15, 28 p. (2023; Zbl 1519.90161) Full Text: DOI arXiv
Lee, Kisun; Tang, Xindong On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials. (English) Zbl 1519.91013 J. Sci. Comput. 95, No. 1, Paper No. 13, 26 p. (2023); correction ibid. 95, No. 3, Paper No. 83, 2 p. (2023). MSC: 91A11 65H14 90C23 PDFBibTeX XMLCite \textit{K. Lee} and \textit{X. Tang}, J. Sci. Comput. 95, No. 1, Paper No. 13, 26 p. (2023; Zbl 1519.91013) Full Text: DOI arXiv
Huang, Lei; Nie, Jiawang; Yuan, Ya-Xiang Homogenization for polynomial optimization with unbounded sets. (English) Zbl 1519.90160 Math. Program. 200, No. 1 (A), 105-145 (2023). MSC: 90C23 65K05 90C26 PDFBibTeX XMLCite \textit{L. Huang} et al., Math. Program. 200, No. 1 (A), 105--145 (2023; Zbl 1519.90160) Full Text: DOI arXiv
Nie, Jiawang; Zhong, Suhan Loss functions for finite sets. (English) Zbl 1516.90044 Comput. Optim. Appl. 84, No. 2, 421-447 (2023). MSC: 90C23 65K05 90C30 PDFBibTeX XMLCite \textit{J. Nie} and \textit{S. Zhong}, Comput. Optim. Appl. 84, No. 2, 421--447 (2023; Zbl 1516.90044) Full Text: DOI arXiv
Nie, Jiawang; Tang, Xindong Convex generalized Nash equilibrium problems and polynomial optimization. (English) Zbl 1516.91007 Math. Program. 198, No. 2 (B), 1485-1518 (2023). MSC: 91A10 90C23 65K05 PDFBibTeX XMLCite \textit{J. Nie} and \textit{X. Tang}, Math. Program. 198, No. 2 (B), 1485--1518 (2023; Zbl 1516.91007) Full Text: DOI arXiv
Bingane, Christian Largest small polygons: a sequential convex optimization approach. (English) Zbl 1514.90176 Optim. Lett. 17, No. 2, 385-397 (2023). MSC: 90C20 90C26 90C90 PDFBibTeX XMLCite \textit{C. Bingane}, Optim. Lett. 17, No. 2, 385--397 (2023; Zbl 1514.90176) Full Text: DOI arXiv
Tacchi, Matteo; Lasserre, Jean Bernard; Henrion, Didier Stokes, Gibbs, and volume computation of semi-algebraic sets. (English) Zbl 1507.14080 Discrete Comput. Geom. 69, No. 1, 260-283 (2023). Reviewer: Jaewoo Jung (Daejeon) MSC: 14P10 90C22 12D15 14Q20 28A75 35J05 53C65 65D30 90C59 PDFBibTeX XMLCite \textit{M. Tacchi} et al., Discrete Comput. Geom. 69, No. 1, 260--283 (2023; Zbl 1507.14080) Full Text: DOI arXiv
Nie, Jiawang; Yang, Liu; Zhong, Suhan; Zhou, Guangming Distributionally robust optimization with moment ambiguity sets. (English) Zbl 1509.90142 J. Sci. Comput. 94, No. 1, Paper No. 12, 27 p. (2023). MSC: 90C23 90C17 90C22 PDFBibTeX XMLCite \textit{J. Nie} et al., J. Sci. Comput. 94, No. 1, Paper No. 12, 27 p. (2023; Zbl 1509.90142) Full Text: DOI arXiv
Belinschi, Serban T.; Magron, Victor; Vinnikov, Victor Noncommutative Christoffel-Darboux kernels. (English) Zbl 1507.90123 Trans. Am. Math. Soc. 376, No. 1, 181-230 (2023). MSC: 90C22 47N10 13J10 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Trans. Am. Math. Soc. 376, No. 1, 181--230 (2023; Zbl 1507.90123) Full Text: DOI arXiv
Magron, Victor; Wang, Jie Sparse polynomial optimization. Theory and practice. (English) Zbl 07555435 Series on Optimization and Its Applications 5. Singapore: World Scientific (ISBN 978-1-80061-294-5/hbk; 978-1-80061-296-9/ebook). 200 p. (2023). MSC: 90-01 14-01 90C23 14P10 PDFBibTeX XMLCite \textit{V. Magron} and \textit{J. Wang}, Sparse polynomial optimization. Theory and practice. Singapore: World Scientific (2023; Zbl 07555435) Full Text: DOI arXiv
Tacchi, Matteo; Weisser, Tillmann; Lasserre, Jean Bernard; Henrion, Didier Exploiting sparsity for semi-algebraic set volume computation. (English) Zbl 1512.14033 Found. Comput. Math. 22, No. 1, 161-209 (2022). Reviewer: Jaewoo Jung (Daejeon) MSC: 14P10 28A25 65D30 65K10 90C06 90C22 90C35 PDFBibTeX XMLCite \textit{M. Tacchi} et al., Found. Comput. Math. 22, No. 1, 161--209 (2022; Zbl 1512.14033) Full Text: DOI arXiv
Dressler, Mareike; Murray, Riley Algebraic perspectives on signomial optimization. (English) Zbl 1524.14125 SIAM J. Appl. Algebra Geom. 6, No. 4, 650-684 (2022). MSC: 14P99 90C25 90C23 52A20 28B15 PDFBibTeX XMLCite \textit{M. Dressler} and \textit{R. Murray}, SIAM J. Appl. Algebra Geom. 6, No. 4, 650--684 (2022; Zbl 1524.14125) Full Text: DOI arXiv
Ni, Guyan; Li, Ying A semidefinite relaxation method for partially symmetric tensor decomposition. (English) Zbl 1505.15025 Math. Oper. Res. 47, No. 4, 2931-2949 (2022). MSC: 15A69 41A65 14P10 90C22 PDFBibTeX XMLCite \textit{G. Ni} and \textit{Y. Li}, Math. Oper. Res. 47, No. 4, 2931--2949 (2022; Zbl 1505.15025) Full Text: DOI
del Castillo, Enrique; Chen, Peng; Meyers, Adam; Hunt, John; Rapkin, James Confidence regions for the location of response surface optima: the R package optimaregion. (English) Zbl 07632255 Commun. Stat., Simulation Comput. 51, No. 12, 7074-7094 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{E. del Castillo} et al., Commun. Stat., Simulation Comput. 51, No. 12, 7074--7094 (2022; Zbl 07632255) Full Text: DOI
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
Zheng, Meng-Meng; Huang, Zheng-Hai; Hu, Sheng-Long Unconstrained minimization of block-circulant polynomials via semidefinite program in third-order tensor space. (English) Zbl 1502.65036 J. Glob. Optim. 84, No. 2, 415-440 (2022). MSC: 65K05 90C22 PDFBibTeX XMLCite \textit{M.-M. Zheng} et al., J. Glob. Optim. 84, No. 2, 415--440 (2022; Zbl 1502.65036) Full Text: DOI
Garcia-Salguero, Mercedes; Briales, Jesus; Gonzalez-Jimenez, Javier A tighter relaxation for the relative pose problem between cameras. (English) Zbl 07570267 J. Math. Imaging Vis. 64, No. 5, 493-505 (2022). MSC: 68-XX 94-XX 90C46 49K99 49N15 PDFBibTeX XMLCite \textit{M. Garcia-Salguero} et al., J. Math. Imaging Vis. 64, No. 5, 493--505 (2022; Zbl 07570267) Full Text: DOI
Ngoc Hoang Anh Mai; Lasserre, Jean-Bernard; Magron, Victor Positivity certificates and polynomial optimization on non-compact semialgebraic sets. (English) Zbl 1494.90073 Math. Program. 194, No. 1-2 (A), 443-485 (2022). MSC: 90C23 90C22 65H04 PDFBibTeX XMLCite \textit{Ngoc Hoang Anh Mai} et al., Math. Program. 194, No. 1--2 (A), 443--485 (2022; Zbl 1494.90073) Full Text: DOI arXiv
Klep, Igor; Magron, Victor; Povh, Janez Sparse noncommutative polynomial optimization. (English) Zbl 1494.90072 Math. Program. 193, No. 2 (B), 789-829 (2022). MSC: 90C23 90C22 47N10 13J10 PDFBibTeX XMLCite \textit{I. Klep} et al., Math. Program. 193, No. 2 (B), 789--829 (2022; Zbl 1494.90072) Full Text: DOI arXiv Link
Hu, Shenglong; Wang, Qun A globally convergent method for solving a quartic generalized Markowitz portfolio problem. (English) Zbl 1492.91324 Appl. Numer. Math. 179, 255-272 (2022). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G10 90C25 90C22 PDFBibTeX XMLCite \textit{S. Hu} and \textit{Q. Wang}, Appl. Numer. Math. 179, 255--272 (2022; Zbl 1492.91324) Full Text: DOI
Alfonsi, Aurélien; Coyaud, Rafaël; Ehrlacher, Virginie Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation. (English) Zbl 1485.65063 Math. Models Methods Appl. Sci. 32, No. 3, 403-455 (2022). MSC: 65K10 65C35 49Q22 82C31 PDFBibTeX XMLCite \textit{A. Alfonsi} et al., Math. Models Methods Appl. Sci. 32, No. 3, 403--455 (2022; Zbl 1485.65063) Full Text: DOI arXiv
Zhao, Wenjie; Zhou, Guangming Local saddle points for unconstrained polynomial optimization. (English) Zbl 1490.90217 Comput. Optim. Appl. 82, No. 1, 89-106 (2022). MSC: 90C23 90C22 90C47 49K35 65K05 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{G. Zhou}, Comput. Optim. Appl. 82, No. 1, 89--106 (2022; Zbl 1490.90217) Full Text: DOI
Tacchi, Matteo Convergence of Lasserre’s hierarchy: the general case. (English) Zbl 1489.90108 Optim. Lett. 16, No. 3, 1015-1033 (2022). MSC: 90C22 90C23 PDFBibTeX XMLCite \textit{M. Tacchi}, Optim. Lett. 16, No. 3, 1015--1033 (2022; Zbl 1489.90108) Full Text: DOI arXiv
Chen, Tong; Lasserre, Jean-Bernard; Magron, Victor; Pauwels, Edouard A sublevel moment-SOS hierarchy for polynomial optimization. (English) Zbl 1484.90069 Comput. Optim. Appl. 81, No. 1, 31-66 (2022). MSC: 90C23 90C22 PDFBibTeX XMLCite \textit{T. Chen} et al., Comput. Optim. Appl. 81, No. 1, 31--66 (2022; Zbl 1484.90069) Full Text: DOI arXiv
Gawali, Deepak D.; Patil, Bhagyesh V.; Zidna, Ahmed; Nataraj, P. S. V. Constrained global optimization of multivariate polynomials using polynomial B-spline form and B-spline consistency prune approach. (English) Zbl 1486.90153 RAIRO, Oper. Res. 55, No. 6, 3743-3771 (2021). MSC: 90C26 90C23 90C57 PDFBibTeX XMLCite \textit{D. D. Gawali} et al., RAIRO, Oper. Res. 55, No. 6, 3743--3771 (2021; Zbl 1486.90153) Full Text: DOI
Murray, Riley; Chandrasekaran, Venkat; Wierman, Adam Signomial and polynomial optimization via relative entropy and partial dualization. (English) Zbl 07447066 Math. Program. Comput. 13, No. 2, 257-295 (2021); Publisher correction ibid. 13, No. 2, 297-299 (2021). MSC: 90C23 90C46 PDFBibTeX XMLCite \textit{R. Murray} et al., Math. Program. Comput. 13, No. 2, 257--295 (2021; Zbl 07447066) Full Text: DOI arXiv
Luo, Fengqiao; Mehrotra, Sanjay A geometric branch and bound method for robust maximization of convex functions. (English) Zbl 1481.90241 J. Glob. Optim. 81, No. 4, 835-859 (2021). MSC: 90C17 90C26 90C57 PDFBibTeX XMLCite \textit{F. Luo} and \textit{S. Mehrotra}, J. Glob. Optim. 81, No. 4, 835--859 (2021; Zbl 1481.90241) Full Text: DOI arXiv
Quijorna, María López Detecting optimality and extracting solutions in polynomial optimization with the truncated GNS construction. (English) Zbl 1484.90070 J. Glob. Optim. 81, No. 3, 559-598 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 90C23 90C22 90C26 44A60 65D32 PDFBibTeX XMLCite \textit{M. L. Quijorna}, J. Glob. Optim. 81, No. 3, 559--598 (2021; Zbl 1484.90070) Full Text: DOI arXiv
Nie, Jiawang; Wang, Li; Ye, Jane J.; Zhong, Suhan A Lagrange multiplier expression method for bilevel polynomial optimization. (English) Zbl 1509.65052 SIAM J. Optim. 31, No. 3, 2368-2395 (2021). MSC: 65K05 90C22 90C26 90C34 PDFBibTeX XMLCite \textit{J. Nie} et al., SIAM J. Optim. 31, No. 3, 2368--2395 (2021; Zbl 1509.65052) Full Text: DOI arXiv
Guo, Feng; Jiao, Liguo On solving a class of fractional semi-infinite polynomial programming problems. (English) Zbl 07402745 Comput. Optim. Appl. 80, No. 2, 439-481 (2021). MSC: 65K05 90C22 90C29 90C34 90Cxx PDFBibTeX XMLCite \textit{F. Guo} and \textit{L. Jiao}, Comput. Optim. Appl. 80, No. 2, 439--481 (2021; Zbl 07402745) Full Text: DOI arXiv
Elloumi, Sourour; Lambert, Amélie; Lazare, Arnaud Solving unconstrained 0-1 polynomial programs through quadratic convex reformulation. (English) Zbl 1473.90110 J. Glob. Optim. 80, No. 2, 231-248 (2021). MSC: 90C23 90C09 90C26 90C22 PDFBibTeX XMLCite \textit{S. Elloumi} et al., J. Glob. Optim. 80, No. 2, 231--248 (2021; Zbl 1473.90110) Full Text: DOI arXiv
Lee, Jae Hyoung; Sisarat, Nithirat; Jiao, Liguo Multi-objective convex polynomial optimization and semidefinite programming relaxations. (English) Zbl 1475.90093 J. Glob. Optim. 80, No. 1, 117-138 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 90C29 90C22 90C25 12D15 PDFBibTeX XMLCite \textit{J. H. Lee} et al., J. Glob. Optim. 80, No. 1, 117--138 (2021; Zbl 1475.90093) Full Text: DOI arXiv
Buchheim, Christoph; Fampa, Marcia; Sarmiento, Orlando Lower bounds for cubic optimization over the sphere. (English) Zbl 1469.90110 J. Optim. Theory Appl. 188, No. 3, 823-846 (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{C. Buchheim} et al., J. Optim. Theory Appl. 188, No. 3, 823--846 (2021; Zbl 1469.90110) Full Text: DOI
Zeng, Meilan Tensor \(Z\)-eigenvalue complementarity problems. (English) Zbl 1469.90150 Comput. Optim. Appl. 78, No. 2, 559-573 (2021). MSC: 90C33 65K10 90C22 15A18 PDFBibTeX XMLCite \textit{M. Zeng}, Comput. Optim. Appl. 78, No. 2, 559--573 (2021; Zbl 1469.90150) Full Text: DOI
Sekiguchi, Yoshiyuki; Waki, Hayato Perturbation analysis of singular semidefinite programs and its applications to control problems. (English) Zbl 1509.90202 J. Optim. Theory Appl. 188, No. 1, 52-72 (2021). Reviewer: Karel Zimmermann (Praha) MSC: 90C31 90C22 90C51 93D15 PDFBibTeX XMLCite \textit{Y. Sekiguchi} and \textit{H. Waki}, J. Optim. Theory Appl. 188, No. 1, 52--72 (2021; Zbl 1509.90202) Full Text: DOI arXiv
Korda, Milan; Henrion, Didier; Mezić, Igor Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes. (English) Zbl 1467.37080 J. Nonlinear Sci. 31, No. 1, Paper No. 14, 26 p. (2021). MSC: 37M25 37C30 37D35 PDFBibTeX XMLCite \textit{M. Korda} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 14, 26 p. (2021; Zbl 1467.37080) Full Text: DOI arXiv HAL
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. (English) Zbl 1457.90106 SIAM J. Optim. 31, No. 1, 114-141 (2021). MSC: 90C22 65K05 90C26 05C15 14P10 12D15 PDFBibTeX XMLCite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 114--141 (2021; Zbl 1457.90106) Full Text: DOI arXiv
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard TSSOS: a moment-SOS hierarchy that exploits term sparsity. (English) Zbl 1506.90202 SIAM J. Optim. 31, No. 1, 30-58 (2021). MSC: 90C23 12D15 14P10 14Q30 90C22 PDFBibTeX XMLCite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 30--58 (2021; Zbl 1506.90202) Full Text: DOI arXiv
van Ackooij, Wim A discussion of probability functions and constraints from a variational perspective. (English) Zbl 1467.90028 Set-Valued Var. Anal. 28, No. 4, 585-609 (2020). MSC: 90C15 PDFBibTeX XMLCite \textit{W. van Ackooij}, Set-Valued Var. Anal. 28, No. 4, 585--609 (2020; Zbl 1467.90028) Full Text: DOI
Fan, Jinyan; Nie, Jiawang; Zhao, Ruixue The maximum tensor complementarity eigenvalues. (English) Zbl 1467.65062 Optim. Methods Softw. 35, No. 6, 1179-1190 (2020). MSC: 65K10 15A18 65F15 90C22 PDFBibTeX XMLCite \textit{J. Fan} et al., Optim. Methods Softw. 35, No. 6, 1179--1190 (2020; Zbl 1467.65062) Full Text: DOI
Cen, Xiaoli; Xia, Yong Globally maximizing the sum of squares of quadratic forms over the unit sphere. (English) Zbl 1459.90147 Optim. Lett. 14, No. 7, 1907-1919 (2020). MSC: 90C23 90C20 90C57 PDFBibTeX XMLCite \textit{X. Cen} and \textit{Y. Xia}, Optim. Lett. 14, No. 7, 1907--1919 (2020; Zbl 1459.90147) Full Text: DOI
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard A moment approach for entropy solutions to nonlinear hyperbolic PDEs. (English) Zbl 1437.35473 Math. Control Relat. Fields 10, No. 1, 113-140 (2020). MSC: 35L60 35L45 35L65 35L67 90C26 35D30 PDFBibTeX XMLCite \textit{S. Marx} et al., Math. Control Relat. Fields 10, No. 1, 113--140 (2020; Zbl 1437.35473) Full Text: DOI arXiv
Bonnard, Bernard; Cots, Olivier; Rouot, Jérémy; Verron, Thibaut Time minimal saturation of a pair of spins and application in magnetic resonance imaging. (English) Zbl 1439.49034 Math. Control Relat. Fields 10, No. 1, 47-88 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49K15 49M15 81Q93 14Q20 92C40 92C50 PDFBibTeX XMLCite \textit{B. Bonnard} et al., Math. Control Relat. Fields 10, No. 1, 47--88 (2020; Zbl 1439.49034) Full Text: DOI
van Ackooij, Wim; Pérez-Aros, Pedro Gradient formulae for nonlinear probabilistic constraints with non-convex quadratic forms. (English) Zbl 1437.90118 J. Optim. Theory Appl. 185, No. 1, 239-269 (2020). MSC: 90C15 90C20 90C26 PDFBibTeX XMLCite \textit{W. van Ackooij} and \textit{P. Pérez-Aros}, J. Optim. Theory Appl. 185, No. 1, 239--269 (2020; Zbl 1437.90118) Full Text: DOI
Zhao, Ruixue; Fan, Jinyan Higher-degree tensor eigenvalue complementarity problems. (English) Zbl 1487.65074 Comput. Optim. Appl. 75, No. 3, 799-816 (2020). Reviewer: Doina Carp (Bucureşti) MSC: 65K10 15A18 15A69 65F15 90C22 PDFBibTeX XMLCite \textit{R. Zhao} and \textit{J. Fan}, Comput. Optim. Appl. 75, No. 3, 799--816 (2020; Zbl 1487.65074) Full Text: DOI
Nie, Jiawang; Yang, Liu; Zhong, Suhan Stochastic polynomial optimization. (English) Zbl 1428.90107 Optim. Methods Softw. 35, No. 2, 329-347 (2020). MSC: 90C15 90C22 90C31 65K05 PDFBibTeX XMLCite \textit{J. Nie} et al., Optim. Methods Softw. 35, No. 2, 329--347 (2020; Zbl 1428.90107) Full Text: DOI arXiv
Lasserre, Jean B.; Emin, Youssouf Semidefinite relaxations for Lebesgue and Gaussian measures of unions of basic semialgebraic sets. (English) Zbl 1453.90116 Math. Oper. Res. 44, No. 4, 1477-1493 (2019). MSC: 90C22 90C26 14P10 28A75 PDFBibTeX XMLCite \textit{J. B. Lasserre} and \textit{Y. Emin}, Math. Oper. Res. 44, No. 4, 1477--1493 (2019; Zbl 1453.90116) Full Text: DOI HAL
Ito, Naoki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Toh, Kim-Chuan Algorithm 996: BBCPOP: a sparse doubly nonnegative relaxation of polynomial optimization problems with binary, box, and complementarity constraints. (English) Zbl 1486.65065 ACM Trans. Math. Softw. 45, No. 3, Article No. 34, 26 p. (2019). MSC: 65K10 PDFBibTeX XMLCite \textit{N. Ito} et al., ACM Trans. Math. Softw. 45, No. 3, Article No. 34, 26 p. (2019; Zbl 1486.65065) 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
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
Nie, Jiawang Tight relaxations for polynomial optimization and Lagrange multiplier expressions. (English) Zbl 1461.65179 Math. Program. 178, No. 1-2 (A), 1-37 (2019). MSC: 65K05 90C22 90C26 PDFBibTeX XMLCite \textit{J. Nie}, Math. Program. 178, No. 1--2 (A), 1--37 (2019; Zbl 1461.65179) Full Text: DOI arXiv
Yue, Yuguang; Vandenberghe, Lieven; Wong, Weng Kee T-optimal designs for multi-factor polynomial regression models via a semidefinite relaxation method. (English) Zbl 1430.62176 Stat. Comput. 29, No. 4, 725-738 (2019). MSC: 62K05 62J02 90C22 PDFBibTeX XMLCite \textit{Y. Yue} et al., Stat. Comput. 29, No. 4, 725--738 (2019; Zbl 1430.62176) 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 PDFBibTeX XMLCite \textit{A. Zhou} and \textit{J. Fan}, J. Glob. Optim. 75, No. 2, 417--437 (2019; Zbl 1434.90127) Full Text: DOI
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun Test of copositive tensors. (English) Zbl 1463.65141 J. Ind. Manag. Optim. 15, No. 2, 881-891 (2019). MSC: 65K05 90C33 15A69 PDFBibTeX XMLCite \textit{L. Li} et al., J. Ind. Manag. Optim. 15, No. 2, 881--891 (2019; Zbl 1463.65141) 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 PDFBibTeX XMLCite \textit{P. J. C. Dickinson} and \textit{J. Povh}, Comput. Optim. Appl. 73, No. 1, 37--67 (2019; Zbl 1414.90213) Full Text: DOI Link
Zhao, Xin; Fan, Jinyan A semidefinite method for tensor complementarity problems. (English) Zbl 1423.90259 Optim. Methods Softw. 34, No. 4, 758-769 (2019). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{J. Fan}, Optim. Methods Softw. 34, No. 4, 758--769 (2019; Zbl 1423.90259) Full Text: DOI
Kussaba, Hugo T. M.; Ishihara, João Y.; Menezes, Leonardo R. A. X. A robust unscented transformation for uncertain moments. (English) Zbl 1456.65180 J. Franklin Inst. 356, No. 6, 3797-3810 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 60E10 90C23 90C17 PDFBibTeX XMLCite \textit{H. T. M. Kussaba} et al., J. Franklin Inst. 356, No. 6, 3797--3810 (2019; Zbl 1456.65180) 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 PDFBibTeX XMLCite \textit{D. Papp} and \textit{S. Yildiz}, SIAM J. Optim. 29, No. 1, 822--851 (2019; Zbl 1412.90114) Full Text: DOI arXiv
Zhao, Kang; Cheng, Lizhi; Li, Shengguo; Liao, Anping A new updating method for the damped mass-spring systems. (English) Zbl 1460.70017 Appl. Math. Modelling 62, 119-133 (2018). MSC: 70J35 65L09 65L15 34A55 PDFBibTeX XMLCite \textit{K. Zhao} et al., Appl. Math. Modelling 62, 119--133 (2018; Zbl 1460.70017) Full Text: DOI
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 PDFBibTeX XMLCite \textit{I. Klep} et al., SIAM J. Optim. 28, No. 4, 3177--3207 (2018; Zbl 1409.90135) Full Text: DOI
Aßmann, Denis; Liers, Frauke; Stingl, Michael; Vera, Juan C. Deciding robust feasibility and infeasibility using a set containment approach: an application to stationary passive gas network operations. (English) Zbl 1401.90148 SIAM J. Optim. 28, No. 3, 2489-2517 (2018). MSC: 90C22 90C30 90C34 90C99 PDFBibTeX XMLCite \textit{D. Aßmann} et al., SIAM J. Optim. 28, No. 3, 2489--2517 (2018; Zbl 1401.90148) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Fan} et al., Math. Program. 170, No. 2 (A), 507--539 (2018; Zbl 1427.65096) Full Text: DOI arXiv
Pozdyaev, V. V. On calculation of norms of 2D-systems. (English. Russian original) Zbl 1391.90579 Autom. Remote Control 79, No. 3, 391-405 (2018); translation from Avtom. Telemekh. 2018, No. 3, 3-20 (2018). MSC: 90C30 93D05 PDFBibTeX XMLCite \textit{V. V. Pozdyaev}, Autom. Remote Control 79, No. 3, 391--405 (2018; Zbl 1391.90579); translation from Avtom. Telemekh. 2018, No. 3, 3--20 (2018) Full Text: DOI
Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. (English) Zbl 1402.90136 Math. Program. Comput. 10, No. 1, 1-32 (2018). MSC: 90C26 90C22 PDFBibTeX XMLCite \textit{T. Weisser} et al., Math. Program. Comput. 10, No. 1, 1--32 (2018; Zbl 1402.90136) 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 PDFBibTeX XMLCite \textit{A. Zhou} et al., J. Glob. Optim. 70, No. 4, 843--858 (2018; Zbl 1392.62169) Full Text: DOI
Deng, Zhibin; Fang, Shu-Cherng; Lu, Cheng; Guo, Xiaoling A branch-and-cut algorithm using polar cuts for solving nonconvex quadratic programming problems. (English) Zbl 1398.90115 Optimization 67, No. 2, 359-375 (2018). MSC: 90C20 90C26 90C57 PDFBibTeX XMLCite \textit{Z. Deng} et al., Optimization 67, No. 2, 359--375 (2018; Zbl 1398.90115) 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 PDFBibTeX XMLCite \textit{C. Josz} and \textit{D. K. Molzahn}, SIAM J. Optim. 28, No. 2, 1017--1048 (2018; Zbl 1395.90196) 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 PDFBibTeX XMLCite \textit{S. Behrends} et al., Math. Methods Oper. Res. 87, No. 1, 73--107 (2018; Zbl 1408.90324) Full Text: DOI arXiv
Campos, Juan S.; Parpas, Panos A multigrid approach to SDP relaxations of sparse polynomial optimization problems. (English) Zbl 1398.90118 SIAM J. Optim. 28, No. 1, 1-29 (2018). MSC: 90C22 90C26 35G30 65H10 65N06 65N22 65N55 90C51 90C59 PDFBibTeX XMLCite \textit{J. S. Campos} and \textit{P. Parpas}, SIAM J. Optim. 28, No. 1, 1--29 (2018; Zbl 1398.90118) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X. Zhang} et al., Front. Math. China 12, No. 6, 1409--1426 (2017; Zbl 1391.90669) Full Text: DOI
Gawali, D. D.; Zidna, Ahmed; Nataraj, P. S. V. Algorithms for unconstrained global optimization of nonlinear (polynomial) programming problems: the single and multi-segment polynomial B-spline approach. (English) Zbl 1391.90490 Comput. Oper. Res. 87, 205-220 (2017). MSC: 90C26 41A15 65D07 65K05 PDFBibTeX XMLCite \textit{D. D. Gawali} et al., Comput. Oper. Res. 87, 205--220 (2017; Zbl 1391.90490) 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 PDFBibTeX XMLCite \textit{J. Nie}, SIAM J. Appl. Algebra Geom. 1, No. 1, 599--625 (2017; Zbl 1372.15023) Full Text: DOI arXiv
Hua, Bing; Ni, Gu-Yan; Zhang, Meng-Shi Computing geometric measure of entanglement for symmetric pure states via the Jacobian SDP relaxation technique. (English) Zbl 1371.65033 J. Oper. Res. Soc. China 5, No. 1, 111-121 (2017). MSC: 65F15 81P40 15A69 65K05 90C22 PDFBibTeX XMLCite \textit{B. Hua} et al., J. Oper. Res. Soc. China 5, No. 1, 111--121 (2017; Zbl 1371.65033) Full Text: DOI
Pozdyayev, V. V. Dual form reduction in the atomic optimization method. (English. Russian original) Zbl 1380.49050 Autom. Remote Control 78, No. 5, 940-952 (2017); translation from Upr. Bol’sh. Sist. 2015, No. 54, 66-85 (2015). Reviewer: Marek Galewski (Łódź) MSC: 49N15 90C46 PDFBibTeX XMLCite \textit{V. V. Pozdyayev}, Autom. Remote Control 78, No. 5, 940--952 (2017; Zbl 1380.49050); translation from Upr. Bol'sh. Sist. 2015, No. 54, 66--85 (2015) Full Text: DOI
Nie, Jiawang; Wang, Li; Ye, Jane J. Bilevel polynomial programs and semidefinite relaxation methods. (English) Zbl 1371.65058 SIAM J. Optim. 27, No. 3, 1728-1757 (2017). MSC: 65K05 90C22 90C26 90C34 PDFBibTeX XMLCite \textit{J. Nie} et al., SIAM J. Optim. 27, No. 3, 1728--1757 (2017; Zbl 1371.65058) Full Text: DOI arXiv
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang A bounded degree SOS hierarchy for polynomial optimization. (English) Zbl 1368.90132 EURO J. Comput. Optim. 5, No. 1-2, 87-117 (2017). MSC: 90C26 90C22 PDFBibTeX XMLCite \textit{J. B. Lasserre} et al., EURO J. Comput. Optim. 5, No. 1--2, 87--117 (2017; Zbl 1368.90132) Full Text: DOI arXiv
Chen, Liangyu; Xu, Yaochen; Zeng, Zhenbing Searching approximate global optimal Heilbronn configurations of nine points in the unit square via GPGPU computing. (English) Zbl 1372.90083 J. Glob. Optim. 68, No. 1, 147-167 (2017). MSC: 90C26 90C57 90C27 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Glob. Optim. 68, No. 1, 147--167 (2017; Zbl 1372.90083) Full Text: DOI
Buchheim, Christoph; D’Ambrosio, Claudia Monomial-wise optimal separable underestimators for mixed-integer polynomial optimization. (English) Zbl 1370.90153 J. Glob. Optim. 67, No. 4, 759-786 (2017). MSC: 90C11 90C26 90C57 PDFBibTeX XMLCite \textit{C. Buchheim} and \textit{C. D'Ambrosio}, J. Glob. Optim. 67, No. 4, 759--786 (2017; Zbl 1370.90153) 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 PDFBibTeX XMLCite \textit{E. de Klerk} et al., Math. Program. 162, No. 1--2 (A), 363--392 (2017; Zbl 1358.90092) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{B. Chen} et al., SIAM J. Optim. 27, No. 1, 292--318 (2017; Zbl 1359.15020) Full Text: DOI
Wisniewski, Rafael; Sloth, Christoffer; Bujorianu, Manuela; Piterman, Nir Safety verification of piecewise-deterministic Markov processes. (English) Zbl 1364.93754 Proceedings of the 19th ACM international conference on hybrid systems: computation and control, HSCC 2016, Vienna, Austria, April 12–14, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3955-1). 257-266 (2016). MSC: 93E03 60J75 68Q60 93C20 PDFBibTeX XMLCite \textit{R. Wisniewski} et al., in: Proceedings of the 19th ACM international conference on hybrid systems: computation and control, HSCC 2016, Vienna, Austria, April 12--14, 2016. New York, NY: Association for Computing Machinery (ACM). 257--266 (2016; Zbl 1364.93754) Full Text: DOI
Lasserre, Jean B. Lebesgue decomposition in action via semidefinite relaxations. (English) Zbl 1353.90085 Adv. Comput. Math. 42, No. 5, 1129-1148 (2016). MSC: 90C05 90C22 44A60 65R32 28A99 46E27 PDFBibTeX XMLCite \textit{J. B. Lasserre}, Adv. Comput. Math. 42, No. 5, 1129--1148 (2016; Zbl 1353.90085) Full Text: DOI arXiv
Pozdyayev, Vladimir 2D system analysis via dual problems and polynomial matrix inequalities. (English) Zbl 1352.93080 Numer. Algebra Control Optim. 6, No. 4, 491-504 (2016). MSC: 93D05 90C26 49M29 93C55 PDFBibTeX XMLCite \textit{V. Pozdyayev}, Numer. Algebra Control Optim. 6, No. 4, 491--504 (2016; Zbl 1352.93080) Full Text: DOI
Boukouvala, Fani; Misener, Ruth; Floudas, Christodoulos A. Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO. (English) Zbl 1346.90677 Eur. J. Oper. Res. 252, No. 3, 701-727 (2016). MSC: 90C26 90C11 90C56 90-02 PDFBibTeX XMLCite \textit{F. Boukouvala} et al., Eur. J. Oper. Res. 252, No. 3, 701--727 (2016; Zbl 1346.90677) Full Text: DOI
de Klerk, Etienne Book review of: J.-B. Lasserre, An introduction to polynomial and semi-algebraic optimization. (English) Zbl 1346.00039 Eur. J. Oper. Res. 249, No. 2, 789-790 (2016). MSC: 00A17 90-02 90C26 65K10 PDFBibTeX XMLCite \textit{E. de Klerk}, Eur. J. Oper. Res. 249, No. 2, 789--790 (2016; Zbl 1346.00039) 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 PDFBibTeX XMLCite \textit{J. Fan} and \textit{A. Zhou}, Comput. Optim. Appl. 64, No. 3, 647--670 (2016; Zbl 1381.90064) Full Text: DOI
Heller, Jan; Pajdla, Tomas Gposolver: a Matlab/C++ toolbox for global polynomial optimization. (English) Zbl 1342.90145 Optim. Methods Softw. 31, No. 2, 405-434 (2016). MSC: 90C26 90C22 PDFBibTeX XMLCite \textit{J. Heller} and \textit{T. Pajdla}, Optim. Methods Softw. 31, No. 2, 405--434 (2016; Zbl 1342.90145) Full Text: DOI
Grimstad, Bjarne; Sandnes, Anders Global optimization with spline constraints: a new branch-and-bound method based on B-splines. (English) Zbl 1372.90074 J. Glob. Optim. 65, No. 3, 401-439 (2016). MSC: 90C11 90C26 90C57 PDFBibTeX XMLCite \textit{B. Grimstad} and \textit{A. Sandnes}, J. Glob. Optim. 65, No. 3, 401--439 (2016; Zbl 1372.90074) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Nie} and \textit{X. Zhang}, SIAM J. Optim. 26, No. 2, 1236--1256 (2016; Zbl 1338.15066) Full Text: DOI arXiv
Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard Minimizing the sum of many rational functions. (English) Zbl 1364.90268 Math. Program. Comput. 8, No. 1, 83-111 (2016). MSC: 90C26 90C22 46N10 65K05 PDFBibTeX XMLCite \textit{F. Bugarin} et al., Math. Program. Comput. 8, No. 1, 83--111 (2016; Zbl 1364.90268) Full Text: DOI arXiv
Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S. Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. (English) Zbl 1333.90088 SIAM J. Optim. 26, No. 1, 753-780 (2016). MSC: 90C22 90C26 90C33 14P10 PDFBibTeX XMLCite \textit{V. Jeyakumar} et al., SIAM J. Optim. 26, No. 1, 753--780 (2016; Zbl 1333.90088) Full Text: DOI arXiv
Apkarian, Pierre; Noll, Dominikus; Ravanbod, Laleh Nonsmooth bundle trust-region algorithm with applications to robust stability. (English) Zbl 1334.49092 Set-Valued Var. Anal. 24, No. 1, 115-148 (2016). MSC: 49M30 49J52 90C26 93D09 93B60 93B36 PDFBibTeX XMLCite \textit{P. Apkarian} et al., Set-Valued Var. Anal. 24, No. 1, 115--148 (2016; Zbl 1334.49092) Full Text: DOI arXiv