Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard TSSOS: a moment-SOS hierarchy that exploits term sparsity. (English) Zbl 07305921 SIAM J. Optim. 31, No. 1, 30-58 (2021). MSC: 14P10 90C22 12D15 12Y05 PDF BibTeX XML Cite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 30--58 (2021; Zbl 07305921) Full Text: DOI
Lasserre, Jean B.; Magron, Victor Computing the Hausdorff boundary measure of semialgebraic sets. (English) Zbl 1451.14171 SIAM J. Appl. Algebra Geom. 4, No. 3, 441-469 (2020). Reviewer: Mihai Putinar (Santa Barbara) MSC: 14Q65 14P10 28A75 28A78 26B15 90C22 PDF BibTeX XML Cite \textit{J. B. Lasserre} and \textit{V. Magron}, SIAM J. Appl. Algebra Geom. 4, No. 3, 441--469 (2020; Zbl 1451.14171) Full Text: DOI
de Laat, David Moment methods in energy minimization: new bounds for Riesz minimal energy problems. (English) Zbl 1437.90122 Trans. Am. Math. Soc. 373, No. 2, 1407-1453 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 90C22 52C17 49J99 PDF BibTeX XML Cite \textit{D. de Laat}, Trans. Am. Math. Soc. 373, No. 2, 1407--1453 (2020; Zbl 1437.90122) Full Text: DOI
Ahmadi, Amir Ali; Majumdar, Anirudha DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization. (English) Zbl 07067257 SIAM J. Appl. Algebra Geom. 3, No. 2, 193-230 (2019). MSC: 65K05 90C25 90C22 90C05 90C90 12Y05 93C85 90C27 PDF BibTeX XML Cite \textit{A. A. Ahmadi} and \textit{A. Majumdar}, SIAM J. Appl. Algebra Geom. 3, No. 2, 193--230 (2019; Zbl 07067257) Full Text: DOI arXiv
Ahmadi, Amir Ali; de Klerk, Etienne; Hall, Georgina Polynomial norms. (English) Zbl 1431.90107 SIAM J. Optim. 29, No. 1, 399-422 (2019). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C22 14P10 52A27 PDF BibTeX XML Cite \textit{A. A. Ahmadi} et al., SIAM J. Optim. 29, No. 1, 399--422 (2019; Zbl 1431.90107) Full Text: DOI arXiv
Ando, Tetsuya Discriminants of cyclic homogeneous inequalities of three variables. (English) Zbl 1401.14227 J. Algebra 514, 384-441 (2018). MSC: 14P10 26D05 PDF BibTeX XML Cite \textit{T. Ando}, J. Algebra 514, 384--441 (2018; Zbl 1401.14227) 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
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
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
Blanco, Víctor; Puerto, Justo; Ben-Ali, Safae El-Haj Continuous multifacility ordered median location problems. (English) Zbl 1346.90527 Eur. J. Oper. Res. 250, No. 1, 56-64 (2016). MSC: 90B85 90C22 90C11 PDF BibTeX XML Cite \textit{V. Blanco} et al., Eur. J. Oper. Res. 250, No. 1, 56--64 (2016; Zbl 1346.90527) Full Text: DOI
Riener, Cordian Symmetric semi-algebraic sets and non-negativity of symmetric polynomials. (English) Zbl 1337.14046 J. Pure Appl. Algebra 220, No. 8, 2809-2815 (2016). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P10 14P25 PDF BibTeX XML Cite \textit{C. Riener}, J. Pure Appl. Algebra 220, No. 8, 2809--2815 (2016; Zbl 1337.14046) Full Text: DOI arXiv
Abril Bucero, Marta; Mourrain, Bernard Border basis relaxation for polynomial optimization. (English) Zbl 1346.90655 J. Symb. Comput. 74, 378-399 (2016). MSC: 90C22 13P10 PDF BibTeX XML Cite \textit{M. Abril Bucero} and \textit{B. Mourrain}, J. Symb. Comput. 74, 378--399 (2016; Zbl 1346.90655) Full Text: DOI
Dobre, Cristian; Vera, Juan Exploiting symmetry in copositive programs via semidefinite hierarchies. (English) Zbl 1328.90110 Math. Program. 151, No. 2 (B), 659-680 (2015). MSC: 90C26 90C20 PDF BibTeX XML Cite \textit{C. Dobre} and \textit{J. Vera}, Math. Program. 151, No. 2 (B), 659--680 (2015; Zbl 1328.90110) Full Text: DOI
Henrion, Didier; Messine, Frédéric Finding largest small polygons with gloptipoly. (English) Zbl 1272.90059 J. Glob. Optim. 56, No. 3, 1017-1028 (2013). MSC: 90C26 90C20 PDF BibTeX XML Cite \textit{D. Henrion} and \textit{F. Messine}, J. Glob. Optim. 56, No. 3, 1017--1028 (2013; Zbl 1272.90059) Full Text: DOI
Sturmfels, Bernd; Zwiernik, Piotr Binary cumulant varieties. (English) Zbl 1274.13048 Ann. Comb. 17, No. 1, 229-250 (2013). Reviewer: Kaie Kubjas (Berlin) MSC: 13P25 05A40 14Q15 60C05 PDF BibTeX XML Cite \textit{B. Sturmfels} and \textit{P. Zwiernik}, Ann. Comb. 17, No. 1, 229--250 (2013; Zbl 1274.13048) Full Text: DOI arXiv
Takano, Yuichi; Sotirov, Renata A polynomial optimization approach to constant rebalanced portfolio selection. (English) Zbl 1259.91080 Comput. Optim. Appl. 52, No. 3, 645-666 (2012). MSC: 91G10 90C22 PDF BibTeX XML Cite \textit{Y. Takano} and \textit{R. Sotirov}, Comput. Optim. Appl. 52, No. 3, 645--666 (2012; Zbl 1259.91080) Full Text: DOI
Murota, Kazuo; Kanno, Yoshihiro; Kojima, Masakazu; Kojima, Sadayoshi A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming. (English) Zbl 1204.65068 Japan J. Ind. Appl. Math. 27, No. 1, 125-160 (2010). MSC: 65K05 65F30 90C22 PDF BibTeX XML Cite \textit{K. Murota} et al., Japan J. Ind. Appl. Math. 27, No. 1, 125--160 (2010; Zbl 1204.65068) Full Text: DOI
Vallentin, Frank Symmetry in semidefinite programs. (English) Zbl 1165.90017 Linear Algebra Appl. 430, No. 1, 360-369 (2009). MSC: 90C22 33C90 PDF BibTeX XML Cite \textit{F. Vallentin}, Linear Algebra Appl. 430, No. 1, 360--369 (2009; Zbl 1165.90017) Full Text: DOI arXiv