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
Kuang, Xiaolong; Ghaddar, Bissan; Naoum-Sawaya, Joe; Zuluaga, Luis F. Alternative SDP and SOCP approximations for polynomial optimization. (English) Zbl 1428.90116 EURO J. Comput. Optim. 7, No. 2, 153-175 (2019). MSC: 90C22 90C26 PDFBibTeX XMLCite \textit{X. Kuang} et al., EURO J. Comput. Optim. 7, No. 2, 153--175 (2019; Zbl 1428.90116) Full Text: DOI arXiv
Kimizuka, Masaki; Kim, Sunyoung; Yamashita, Makoto Solving pooling problems with time discretization by LP and SOCP relaxations and rescheduling methods. (English) Zbl 1433.90103 J. Glob. Optim. 75, No. 3, 631-654 (2019). MSC: 90C20 90C22 90C25 90C26 PDFBibTeX XMLCite \textit{M. Kimizuka} et al., J. Glob. Optim. 75, No. 3, 631--654 (2019; Zbl 1433.90103) Full Text: DOI arXiv
Mizutani, Tomohiko; Yamashita, Makoto Correlative sparsity structures and semidefinite relaxations for concave cost transportation problems with change of variables. (English) Zbl 1297.90128 J. Glob. Optim. 56, No. 3, 1073-1100 (2013). MSC: 90C26 90C22 PDFBibTeX XMLCite \textit{T. Mizutani} and \textit{M. Yamashita}, J. Glob. Optim. 56, No. 3, 1073--1100 (2013; Zbl 1297.90128) Full Text: DOI
Cerone, V.; Piga, D.; Regruto, D. Bounding the parameters of block-structured nonlinear feedback systems. (English) Zbl 1263.93059 Int. J. Robust Nonlinear Control 23, No. 1, 33-47 (2013). MSC: 93B30 93C10 93B52 PDFBibTeX XMLCite \textit{V. Cerone} et al., Int. J. Robust Nonlinear Control 23, No. 1, 33--47 (2013; Zbl 1263.93059) Full Text: DOI Link
Kojima, Masakazu; Yamashita, Makoto Enclosing ellipsoids and elliptic cylinders of semialgebraic sets and their application to error bounds in polynomial optimization. (English) Zbl 1262.90196 Math. Program. 138, No. 1-2 (A), 333-364 (2013). MSC: 90C59 90C22 90C26 90C47 90C35 14P10 PDFBibTeX XMLCite \textit{M. Kojima} and \textit{M. Yamashita}, Math. Program. 138, No. 1--2 (A), 333--364 (2013; Zbl 1262.90196) Full Text: DOI
Kim, Sunyoung; Kojima, Masakazu Exploiting sparsity in SDP relaxation of polynomial optimization problems. (English) Zbl 1334.90107 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, 499-531 (2012). MSC: 90C22 90C90 90-02 PDFBibTeX XMLCite \textit{S. Kim} and \textit{M. Kojima}, Int. Ser. Oper. Res. Manag. Sci. 166, 499--531 (2012; Zbl 1334.90107) Full Text: DOI
Cerone, V.; Piga, D.; Regruto, D. Bounded error identification of Hammerstein systems through sparse polynomial optimization. (English) Zbl 1271.93161 Automatica 48, No. 10, 2693-2698 (2012). MSC: 93E12 PDFBibTeX XMLCite \textit{V. Cerone} et al., Automatica 48, No. 10, 2693--2698 (2012; Zbl 1271.93161) Full Text: DOI Link Link
Waki, Hayato; Muramatsu, Masakazu An extension of the elimination method for a sparse SOS polynomial. (English) Zbl 1254.90157 J. Oper. Res. Soc. Japan 54, No. 4, 161-190 (2011). MSC: 90C22 PDFBibTeX XMLCite \textit{H. Waki} and \textit{M. Muramatsu}, J. Oper. Res. Soc. Japan 54, No. 4, 161--190 (2011; Zbl 1254.90157) Full Text: DOI
Kim, Sunyoung; Kojima, Masakazu; Waki, Hayato Exploiting sparsity in SDP relaxation for sensor network localization. (English) Zbl 1190.65096 SIAM J. Optim. 20, No. 1, 192-215 (2009). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C22 90C35 90C20 PDFBibTeX XMLCite \textit{S. Kim} et al., SIAM J. Optim. 20, No. 1, 192--215 (2009; Zbl 1190.65096) Full Text: DOI
Waki, Hayato; Muramatsu, Masakazu; Kojima, Masakazu Invariance under affine transformation in semidefinite programming relaxation for polynomial optimization problems. (English) Zbl 1192.90138 Pac. J. Optim. 5, No. 2, 297-312 (2009). MSC: 90C22 65K05 90C30 PDFBibTeX XMLCite \textit{H. Waki} et al., Pac. J. Optim. 5, No. 2, 297--312 (2009; Zbl 1192.90138)