Zhu, Lin; Zhang, Xinzhen Semidefinite relaxation method for polynomial optimization with second-order cone complementarity constraints. (English) Zbl 1499.90150 J. Ind. Manag. Optim. 18, No. 3, 1505-1517 (2022). MSC: 90C23 90C33 90C22 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{X. Zhang}, J. Ind. Manag. Optim. 18, No. 3, 1505--1517 (2022; Zbl 1499.90150) Full Text: DOI
Cheng, Lulu; Zhang, Xinzhen; Ni, Guyan A semidefinite relaxation method for second-order cone tensor eigenvalue complementarity problems. (English) Zbl 1471.90146 J. Glob. Optim. 79, No. 3, 715-732 (2021). MSC: 90C33 90C22 PDFBibTeX XMLCite \textit{L. Cheng} et al., J. Glob. Optim. 79, No. 3, 715--732 (2021; Zbl 1471.90146) Full Text: DOI
Wang, Xiao; Zhang, Xinzhen; Zhou, Guangming SDP relaxation algorithms for \(\mathbf{P(P}_0)\)-tensor detection. (English) Zbl 1514.90229 Comput. Optim. Appl. 75, No. 3, 739-752 (2020). Reviewer: Radu Ioan Boţ (Wien) MSC: 90C33 15A69 90C22 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Optim. Appl. 75, No. 3, 739--752 (2020; Zbl 1514.90229) 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 PDFBibTeX XMLCite \textit{L. Cheng} and \textit{X. Zhang}, Comput. Optim. Appl. 75, No. 3, 629--647 (2020; Zbl 1441.15015) Full Text: DOI
Zhang, Mengshi; Zhang, Xinzhen; Ni, Guyan Calculating entanglement eigenvalues for nonsymmetric quantum pure states based on the Jacobian semidefinite programming relaxation method. (English) Zbl 1410.81010 J. Optim. Theory Appl. 180, No. 3, 787-802 (2019). MSC: 81P40 15A18 15A69 90C22 49M20 PDFBibTeX XMLCite \textit{M. Zhang} et al., J. Optim. Theory Appl. 180, No. 3, 787--802 (2019; Zbl 1410.81010) Full Text: DOI arXiv
Nie, Jiawang; Yang, Zi; Zhang, Xinzhen A complete semidefinite algorithm for detecting copositive matrices and tensors. (English) Zbl 1406.15026 SIAM J. Optim. 28, No. 4, 2902-2921 (2018). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A69 15B48 90C22 65F30 PDFBibTeX XMLCite \textit{J. Nie} et al., SIAM J. Optim. 28, No. 4, 2902--2921 (2018; Zbl 1406.15026) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Nie} and \textit{X. Zhang}, Comput. Optim. Appl. 70, No. 1, 1--32 (2018; Zbl 1397.65057) 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 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
Ling, Chen; Zhang, Xinzhen; Qi, Liqun Approximation bound analysis for the standard multi-quadratic optimization problem. (English) Zbl 1321.90109 Pac. J. Optim. 11, No. 2, 257-278 (2015). MSC: 90C26 90C59 PDFBibTeX XMLCite \textit{C. Ling} et al., Pac. J. Optim. 11, No. 2, 257--278 (2015; Zbl 1321.90109) Full Text: Link
Qi, Liqun; Xu, Yi; Yuan, Ya-Xiang; Zhang, Xinzhen A cone constrained convex program: structure and algorithms. (English) Zbl 1277.90094 J. Oper. Res. Soc. China 1, No. 1, 37-53 (2013). MSC: 90C22 PDFBibTeX XMLCite \textit{L. Qi} et al., J. Oper. Res. Soc. China 1, No. 1, 37--53 (2013; Zbl 1277.90094) Full Text: DOI
Ling, Chen; Zhang, Xinzhen; Qi, Liqun Semidefinite relaxation approximation for multivariate bi-quadratic optimization with quadratic constraints. (English) Zbl 1274.65170 Numer. Linear Algebra Appl. 19, No. 1, 113-131 (2012). MSC: 65K05 90C22 90C20 PDFBibTeX XMLCite \textit{C. Ling} et al., Numer. Linear Algebra Appl. 19, No. 1, 113--131 (2012; Zbl 1274.65170) Full Text: DOI
Zhang, Xinzhen; Ling, Chen; Qi, Liqun Semidefinite relaxation bounds for bi-quadratic optimization problems with quadratic constraints. (English) Zbl 1237.90180 J. Glob. Optim. 49, No. 2, 293-311 (2011). Reviewer: Didier Henrion (Toulouse) MSC: 90C22 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Glob. Optim. 49, No. 2, 293--311 (2011; Zbl 1237.90180) Full Text: DOI