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; 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
Zhao, Ruixue; Fan, Jinyan Quadratic tensor eigenvalue complementarity problems. (English) Zbl 1524.65171 J. Ind. Manag. Optim. 19, No. 4, 2986-3002 (2023). MSC: 65F15 15A18 15A69 65K05 90C22 90C33 PDFBibTeX XMLCite \textit{R. Zhao} and \textit{J. Fan}, J. Ind. Manag. Optim. 19, No. 4, 2986--3002 (2023; Zbl 1524.65171) Full Text: DOI
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
Li, Li; Yan, Xihong; Zhang, Xinzhen An SDP relaxation method for Perron pairs of a nonnegative tensor. (English) Zbl 1510.15042 Appl. Math. Comput. 423, Article ID 126866, 10 p. (2022). MSC: 15A69 15A18 15B48 65F15 PDFBibTeX XMLCite \textit{L. Li} et al., Appl. Math. Comput. 423, Article ID 126866, 10 p. (2022; Zbl 1510.15042) Full Text: DOI
Hu, Shenglong; Li, Guoyin \(\mathrm{B}\)-subdifferentials of the projection onto the matrix simplex. (English) Zbl 1510.65117 Comput. Optim. Appl. 80, No. 3, 915-941 (2021). MSC: 65K05 90C53 15B48 90C22 49J52 PDFBibTeX XMLCite \textit{S. Hu} and \textit{G. Li}, Comput. Optim. Appl. 80, No. 3, 915--941 (2021; Zbl 1510.65117) 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
Zheng, Meng-Meng; Huang, Zheng-Hai; Wang, Yong T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming. (English) Zbl 1465.15031 Comput. Optim. Appl. 78, No. 1, 239-272 (2021). MSC: 15A69 90C22 PDFBibTeX XMLCite \textit{M.-M. Zheng} et al., Comput. Optim. Appl. 78, No. 1, 239--272 (2021; Zbl 1465.15031) Full Text: DOI arXiv
Waki, Hayato; Ebihara, Yoshio; Sebe, Noboru Reduction of SISO H-infinity output feedback control problem. (English) Zbl 1457.49025 Linear Algebra Appl. 610, 321-378 (2021). MSC: 49N35 49N15 15A39 49K30 90C22 93C05 34K35 PDFBibTeX XMLCite \textit{H. Waki} et al., Linear Algebra Appl. 610, 321--378 (2021; Zbl 1457.49025) Full Text: DOI arXiv
Palitta, Davide; Simoncini, Valeria Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. (English) Zbl 1466.65031 Vietnam J. Math. 48, No. 4, 791-807 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{V. Simoncini}, Vietnam J. Math. 48, No. 4, 791--807 (2020; Zbl 1466.65031) Full Text: DOI arXiv
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
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Zhou} et al., Linear Algebra Appl. 604, 187--209 (2020; Zbl 1448.15049) Full Text: DOI
Ariola, Marco; De Tommasi, Gianmaria; Mele, Adriano; Tartaglione, Gaetano On the numerical solution of differential linear matrix inequalities. (English) Zbl 1441.93108 J. Optim. Theory Appl. 185, No. 2, 540-553 (2020). MSC: 93C05 93B50 15A39 PDFBibTeX XMLCite \textit{M. Ariola} et al., J. Optim. Theory Appl. 185, No. 2, 540--553 (2020; Zbl 1441.93108) 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
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
Fan, Jinyan; Nie, Jiawang; Zhou, Anwa Completely positive binary tensors. (English) Zbl 1437.15031 Math. Oper. Res. 44, No. 3, 1087-1100 (2019). MSC: 15A69 15A45 PDFBibTeX XMLCite \textit{J. Fan} et al., Math. Oper. Res. 44, No. 3, 1087--1100 (2019; Zbl 1437.15031) Full Text: DOI arXiv
Hu, Shenglong; Sun, Defeng; Toh, Kim-Chuan Best nonnegative rank-one approximations of tensors. (English) Zbl 1454.90047 SIAM J. Matrix Anal. Appl. 40, No. 4, 1527-1554 (2019). MSC: 90C23 15A18 15A42 15A69 90C22 PDFBibTeX XMLCite \textit{S. Hu} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1527--1554 (2019; Zbl 1454.90047) 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
Pavlíková, Soña; Ševčovič, Daniel On construction of upper and lower bounds for the HOMO-LUMO spectral gap. (English) Zbl 1419.05133 Numer. Algebra Control Optim. 9, No. 1, 53-69 (2019). MSC: 05C50 15A09 15B36 90C11 90C22 PDFBibTeX XMLCite \textit{S. Pavlíková} and \textit{D. Ševčovič}, Numer. Algebra Control Optim. 9, No. 1, 53--69 (2019; Zbl 1419.05133) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 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
Huang, Yu-Mei; Yan, Hui-Yin; Wen, You-Wei; Yang, Xue Rank minimization with applications to image noise removal. (English) Zbl 1436.94008 Inf. Sci. 429, 147-163 (2018). MSC: 94A08 15A83 PDFBibTeX XMLCite \textit{Y.-M. Huang} et al., Inf. Sci. 429, 147--163 (2018; Zbl 1436.94008) Full Text: DOI
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
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
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 PDFBibTeX XMLCite \textit{A. Zhou} and \textit{J. Fan}, Comput. Optim. Appl. 70, No. 2, 419--441 (2018; Zbl 1391.90465) Full Text: DOI
Qi, Liqun; Chen, Haibin; Chen, Yannan Tensor eigenvalues and their applications. (English) Zbl 1398.15001 Advances in Mechanics and Mathematics 39. Singapore: Springer (ISBN 978-981-10-8057-9/hbk; 978-981-10-8058-6/ebook). xiii, 329 p. (2018). Reviewer: Mihail Voicu (Iaşi) MSC: 15-02 15A72 15A18 15A69 PDFBibTeX XMLCite \textit{L. Qi} et al., Tensor eigenvalues and their applications. Singapore: Springer (2018; Zbl 1398.15001) Full Text: DOI
Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. (English) Zbl 1438.65060 Numer. Linear Algebra Appl. 25, No. 1, e2125, 16 p. (2018). MSC: 65F15 15A69 PDFBibTeX XMLCite \textit{H. Chen} et al., Numer. Linear Algebra Appl. 25, No. 1, e2125, 16 p. (2018; Zbl 1438.65060) Full Text: DOI
Cutajar, Stefan; Smigoc, Helena; O’Hagan, Adrian Actuarial risk matrices: the nearest positive semidefinite matrix problem. (English) Zbl 1414.91177 N. Am. Actuar. J. 21, No. 4, 552-564 (2017). MSC: 91B30 15B48 65F30 90C22 PDFBibTeX XMLCite \textit{S. Cutajar} et al., N. Am. Actuar. J. 21, No. 4, 552--564 (2017; Zbl 1414.91177) Full Text: DOI
Chen, Haibin; Wang, Yiju On computing minimal \(H\)-eigenvalue of sign-structured tensors. (English) Zbl 1401.65037 Front. Math. China 12, No. 6, 1289-1302 (2017). MSC: 65F15 15A18 15A69 90C30 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Wang}, Front. Math. China 12, No. 6, 1289--1302 (2017; Zbl 1401.65037) 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
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 PDFBibTeX XMLCite \textit{J. Fan} and \textit{A. Zhou}, Comput. Optim. Appl. 66, No. 2, 267--283 (2017; Zbl 1366.65053) Full Text: DOI
Lazzaro, Damiana A nonconvex approach to low-rank matrix completion using convex optimization. (English) Zbl 1413.65172 Numer. Linear Algebra Appl. 23, No. 5, 801-824 (2016). MSC: 65F99 15A83 PDFBibTeX XMLCite \textit{D. Lazzaro}, Numer. Linear Algebra Appl. 23, No. 5, 801--824 (2016; Zbl 1413.65172) Full Text: DOI Link
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
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
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 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 302, 356--368 (2016; Zbl 1334.15025) Full Text: DOI arXiv
Fan, Jinyan; Zhou, Anwa The CP-matrix approximation problem. (English) Zbl 1382.90072 SIAM J. Matrix Anal. Appl. 37, No. 1, 171-194 (2016). MSC: 90C22 15A23 15B48 90C26 44A60 PDFBibTeX XMLCite \textit{J. Fan} and \textit{A. Zhou}, SIAM J. Matrix Anal. Appl. 37, No. 1, 171--194 (2016; Zbl 1382.90072) Full Text: DOI arXiv
Roos, Kees On Chubanov’s method for solving a homogeneous inequality system. (English) Zbl 1330.65090 Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 319-338 (2015). MSC: 65K05 90C05 65F10 15A39 PDFBibTeX XMLCite \textit{K. Roos}, Springer Proc. Math. Stat. 134, 319--338 (2015; Zbl 1330.65090) Full Text: DOI
Zhou, AnWa; Fan, JinYan Partially positive matrices. (English) Zbl 1327.15070 Sci. China, Math. 58, No. 10, 2245-2254 (2015). MSC: 15B48 90C22 15A23 PDFBibTeX XMLCite \textit{A. Zhou} and \textit{J. Fan}, Sci. China, Math. 58, No. 10, 2245--2254 (2015; Zbl 1327.15070) Full Text: DOI
Zhou, Anwa; Fan, Jinyan Monotonically positive matrices. (English) Zbl 1322.62147 Linear Algebra Appl. 485, 467-479 (2015). MSC: 62G30 15A23 15B48 90C22 PDFBibTeX XMLCite \textit{A. Zhou} and \textit{J. Fan}, Linear Algebra Appl. 485, 467--479 (2015; Zbl 1322.62147) Full Text: DOI
Qi, Liqun; Wang, Qun; Chen, Yannan Three dimensional strongly symmetric circulant tensors. (English) Zbl 1321.15043 Linear Algebra Appl. 482, 207-220 (2015). MSC: 15A72 15B48 15B57 15A18 PDFBibTeX XMLCite \textit{L. Qi} et al., Linear Algebra Appl. 482, 207--220 (2015; Zbl 1321.15043) Full Text: DOI arXiv
Bugarin, Florian; Bartoli, Adrien; Henrion, Didier; Lasserre, Jean-Bernard; Orteu, Jean-José; Sentenac, Thierry Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm. (English) Zbl 1330.68288 J. Math. Imaging Vis. 53, No. 1, 42-60 (2015). MSC: 68T45 15A45 65K05 90C26 PDFBibTeX XMLCite \textit{F. Bugarin} et al., J. Math. Imaging Vis. 53, No. 1, 42--60 (2015; Zbl 1330.68288) Full Text: DOI arXiv
Dodig, Marija; Stošić, Marko; Xavier, João On minimizing a quadratic function on Stiefel manifold. (English) Zbl 1312.90051 Linear Algebra Appl. 475, 251-264 (2015). MSC: 90C22 15A39 90C20 PDFBibTeX XMLCite \textit{M. Dodig} et al., Linear Algebra Appl. 475, 251--264 (2015; Zbl 1312.90051) Full Text: DOI
Geng, Juan; Wang, Laisheng; Wang, Yanfei A non-convex algorithm framework based on DC programming and DCA for matrix completion. (English) Zbl 1312.65093 Numer. Algorithms 68, No. 4, 903-921 (2015). MSC: 65K05 65F30 90C26 15A83 PDFBibTeX XMLCite \textit{J. Geng} et al., Numer. Algorithms 68, No. 4, 903--921 (2015; Zbl 1312.65093) Full Text: DOI
Fialkow, Lawrence A. Limits of positive flat bivariate moment matrices. (English) Zbl 1304.47023 Trans. Am. Math. Soc. 367, No. 4, 2665-2702 (2015). MSC: 47A57 44A60 42A70 30E05 15B57 15-04 47A20 PDFBibTeX XMLCite \textit{L. A. Fialkow}, Trans. Am. Math. Soc. 367, No. 4, 2665--2702 (2015; Zbl 1304.47023) Full Text: DOI
Cui, Chun-Feng; Dai, Yu-Hong; Nie, Jiawang All real eigenvalues of symmetric tensors. (English) Zbl 1312.65053 SIAM J. Matrix Anal. Appl. 35, No. 4, 1582-1601 (2014). MSC: 65F15 15A69 65K05 90C05 PDFBibTeX XMLCite \textit{C.-F. Cui} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1582--1601 (2014; Zbl 1312.65053) Full Text: DOI arXiv
Guo, Xiao-ling; Deng, Zhi-bin; Fang, Shu-Cherng; Wang, Zhen-bo; Xing, Wen-xun Quadratic optimization over a second-order cone with linear equality constraints. (English) Zbl 1308.90122 J. Oper. Res. Soc. China 2, No. 1, 17-38 (2014). MSC: 90C20 90C26 15B48 PDFBibTeX XMLCite \textit{X.-l. Guo} et al., J. Oper. Res. Soc. China 2, No. 1, 17--38 (2014; Zbl 1308.90122) Full Text: DOI
Guo, Xiaoling; Deng, Zhibin; Fang, Shu-Cherng; Xing, Wenxun Quadratic optimization over one first-order cone. (English) Zbl 1292.90221 J. Ind. Manag. Optim. 10, No. 3, 945-963 (2014). MSC: 90C20 90C26 15B48 65Y20 PDFBibTeX XMLCite \textit{X. Guo} et al., J. Ind. Manag. Optim. 10, No. 3, 945--963 (2014; Zbl 1292.90221) Full Text: DOI
Jargalsaikhan, Bolor Indefinite copositive matrices with exactly one positive eigenvalue or exactly one negative eigenvalue. (English) Zbl 1283.15106 Electron. J. Linear Algebra 26, 754-761 (2013). MSC: 15B48 15A18 90C20 90C25 15A63 PDFBibTeX XMLCite \textit{B. Jargalsaikhan}, Electron. J. Linear Algebra 26, 754--761 (2013; Zbl 1283.15106) Full Text: DOI Link Link
Dong, Hongbo; Anstreicher, Kurt Separating doubly nonnegative and completely positive matrices. (English) Zbl 1263.90064 Math. Program. 137, No. 1-2 (A), 131-153 (2013). MSC: 90C26 90C22 90C20 15B48 PDFBibTeX XMLCite \textit{H. Dong} and \textit{K. Anstreicher}, Math. Program. 137, No. 1--2 (A), 131--153 (2013; Zbl 1263.90064) Full Text: DOI
Xiao, Yun-Hai; Jin, Zheng-Fen An alternating direction method for linear-constrained matrix nuclear norm minimization. (English) Zbl 1274.65115 Numer. Linear Algebra Appl. 19, No. 3, 541-554 (2012). Reviewer: Bing Sheng He (Nanjing) MSC: 65F20 65F30 15A60 65F10 PDFBibTeX XMLCite \textit{Y.-H. Xiao} and \textit{Z.-F. Jin}, Numer. Linear Algebra Appl. 19, No. 3, 541--554 (2012; Zbl 1274.65115) Full Text: DOI
Sponsel, Julia; Bundfuss, Stefan; Dür, Mirjam An improved algorithm to test copositivity. (English) Zbl 1250.65061 J. Glob. Optim. 52, No. 3, 537-551 (2012). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A63 15B48 05C69 90C09 90C22 PDFBibTeX XMLCite \textit{J. Sponsel} et al., J. Glob. Optim. 52, No. 3, 537--551 (2012; Zbl 1250.65061) Full Text: DOI
Ma, Yue; Zhi, Lihong The minimum-rank Gram matrix completion via modified fixed point continuation method. (English) Zbl 1323.65042 Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 241-248 (2011). MSC: 65F30 15A83 15B48 68W30 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{L. Zhi}, in: Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 241--248 (2011; Zbl 1323.65042) Full Text: DOI arXiv
Lu, Zhaosong; Pong, Ting Kei Minimizing condition number via convex programming. (English) Zbl 1235.90114 SIAM J. Matrix Anal. Appl. 32, No. 4, 1193-1211 (2011). MSC: 90C22 90C25 15A12 65F35 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{T. K. Pong}, SIAM J. Matrix Anal. Appl. 32, No. 4, 1193--1211 (2011; Zbl 1235.90114) Full Text: DOI Link
Chen, Po-Wei; Chen, Bor-Sen Robust synchronization analysis in nonlinear stochastic cellular networks with time-varying delays, intracellular perturbations and intercellular noise. (English) Zbl 1218.92033 Math. Biosci. 232, No. 2, 116-134 (2011). MSC: 92C40 92C42 37N25 15A39 65C20 PDFBibTeX XMLCite \textit{P.-W. Chen} and \textit{B.-S. Chen}, Math. Biosci. 232, No. 2, 116--134 (2011; Zbl 1218.92033) Full Text: DOI
Recht, Benjamin; Xu, Weiyu; Hassibi, Babak Null space conditions and thresholds for rank minimization. (English) Zbl 1211.90172 Math. Program. 127, No. 1 (B), 175-202 (2011). MSC: 90C25 90C59 15B52 PDFBibTeX XMLCite \textit{B. Recht} et al., Math. Program. 127, No. 1 (B), 175--202 (2011; Zbl 1211.90172) Full Text: DOI
Burgdorf, Sabine Sums of Hermitian squares as an approach to the BMV conjecture. (English) Zbl 1229.13020 Linear Multilinear Algebra 59, No. 1-3, 1-9 (2011). Reviewer: Alexander Kovačec (Coimbra) MSC: 13J30 11E25 15A45 82B10 PDFBibTeX XMLCite \textit{S. Burgdorf}, Linear Multilinear Algebra 59, No. 1--3, 1--9 (2011; Zbl 1229.13020) Full Text: DOI arXiv
Maehara, Takanori; Murota, Kazuo A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with general irreducible components. (English) Zbl 1204.65035 Japan J. Ind. Appl. Math. 27, No. 2, 263-293 (2010). MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{T. Maehara} and \textit{K. Murota}, Japan J. Ind. Appl. Math. 27, No. 2, 263--293 (2010; Zbl 1204.65035) Full Text: DOI
Recht, Benjamin; Fazel, Maryam; Parrilo, Pablo A. Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization. (English) Zbl 1198.90321 SIAM Rev. 52, No. 3, 471-501 (2010). MSC: 90C25 90C59 15B52 PDFBibTeX XMLCite \textit{B. Recht} et al., SIAM Rev. 52, No. 3, 471--501 (2010; Zbl 1198.90321) Full Text: DOI arXiv Link
Al-Homidan, Suliman; Alshahrani, Mohammad M.; Petra, Cosmin G.; Potra, Florian A. Minimal condition number for positive definite Hankel matrices using semidefinite programming. (English) Zbl 1209.65050 Linear Algebra Appl. 433, No. 6, 1101-1109 (2010). Reviewer: Huajun Huang (Auburn) MSC: 65F35 15A12 15B05 90C22 PDFBibTeX XMLCite \textit{S. Al-Homidan} et al., Linear Algebra Appl. 433, No. 6, 1101--1109 (2010; Zbl 1209.65050) Full Text: DOI
Lin, Matthew M.; Dong, Bo; Chu, Moody T. Semi-definite programming techniques for structured quadratic inverse eigenvalue problems. (English) Zbl 1187.65036 Numer. Algorithms 53, No. 4, 419-437 (2010). MSC: 65F18 15A22 93B55 70J50 PDFBibTeX XMLCite \textit{M. M. Lin} et al., Numer. Algorithms 53, No. 4, 419--437 (2010; Zbl 1187.65036) Full Text: DOI Link
Candès, Emmanuel J.; Recht, Benjamin Exact matrix completion via convex optimization. (English) Zbl 1219.90124 Found. Comput. Math. 9, No. 6, 717-772 (2009). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 90C25 90C59 15B52 90-02 PDFBibTeX XMLCite \textit{E. J. Candès} and \textit{B. Recht}, Found. Comput. Math. 9, No. 6, 717--772 (2009; Zbl 1219.90124) Full Text: DOI
Chen, Bor-Sen; Chen, Po-Wei On the estimation of robustness and filtering ability of dynamic biochemical networks under process delays, internal parametric perturbations and external disturbances. (English) Zbl 1178.92023 Math. Biosci. 222, No. 2, 92-108 (2009). MSC: 92C42 92C40 34K20 34K60 15A39 PDFBibTeX XMLCite \textit{B.-S. Chen} and \textit{P.-W. Chen}, Math. Biosci. 222, No. 2, 92--108 (2009; Zbl 1178.92023) Full Text: DOI
Jarre, Florian; Schmallowsky, Katrin On the computation of \(C^*\) certificates. (English) Zbl 1190.65067 J. Glob. Optim. 45, No. 2, 281-296 (2009). MSC: 65F30 15B48 PDFBibTeX XMLCite \textit{F. Jarre} and \textit{K. Schmallowsky}, J. Glob. Optim. 45, No. 2, 281--296 (2009; Zbl 1190.65067) Full Text: DOI
Mozelli, L. A.; Palhares, R. M.; Souza, F. O.; Mendes, E. M. A. M. Reducing conservativeness in recent stability conditions of TS fuzzy systems. (English) Zbl 1166.93344 Automatica 45, No. 6, 1580-1583 (2009). MSC: 93C42 93C10 15A39 93D05 PDFBibTeX XMLCite \textit{L. A. Mozelli} et al., Automatica 45, No. 6, 1580--1583 (2009; Zbl 1166.93344) Full Text: DOI
Köroğlu, Hakan; Scherer, Carsten W. Generalized asymptotic regulation with guaranteed \({\mathcal H}_2\) performance: a LMI solution. (English) Zbl 1168.93342 Automatica 45, No. 3, 823-829 (2009). MSC: 93B50 15A39 93B35 PDFBibTeX XMLCite \textit{H. Köroğlu} and \textit{C. W. Scherer}, Automatica 45, No. 3, 823--829 (2009; Zbl 1168.93342) Full Text: DOI
Kunis, Stefan; Rauhut, Holger Random sampling of sparse trigonometric polynomials. II: Orthogonal matching pursuit versus basis pursuit. (English) Zbl 1165.94314 Found. Comput. Math. 8, No. 6, 737-763 (2008). MSC: 94A20 42A05 15B52 90C05 90C25 PDFBibTeX XMLCite \textit{S. Kunis} and \textit{H. Rauhut}, Found. Comput. Math. 8, No. 6, 737--763 (2008; Zbl 1165.94314) Full Text: DOI arXiv
Klep, Igor; Schweighofer, Markus Sums of Hermitian squares and the BMV conjecture. (English) Zbl 1158.15018 J. Stat. Phys. 133, No. 4, 739-760 (2008). MSC: 15A45 90C22 82B05 15B48 16S36 46L35 PDFBibTeX XMLCite \textit{I. Klep} and \textit{M. Schweighofer}, J. Stat. Phys. 133, No. 4, 739--760 (2008; Zbl 1158.15018) Full Text: DOI arXiv
Ebihara, Yoshio Computing the distance to uncontrollability via LMIs: lower bound computation with exactness verification. (English) Zbl 1153.93004 Syst. Control Lett. 57, No. 9, 763-771 (2008). MSC: 93B05 93C15 93C05 93B55 15A18 PDFBibTeX XMLCite \textit{Y. Ebihara}, Syst. Control Lett. 57, No. 9, 763--771 (2008; Zbl 1153.93004) Full Text: DOI Link
Luo, Xiaomei; Luo, Zhi-Quan Joint source and relay optimization for a MIMO communication system. (English) Zbl 1141.93331 Pac. J. Optim. 4, No. 1, 53-62 (2008). MSC: 93B40 15A42 90C22 90C25 90B18 93E24 PDFBibTeX XMLCite \textit{X. Luo} and \textit{Z.-Q. Luo}, Pac. J. Optim. 4, No. 1, 53--62 (2008; Zbl 1141.93331)
Helton, J. William; Putinar, Mihai Positive polynomials in scalar and matrix variables, the spectral theorem, and optimization. (English) Zbl 1199.47001 Bakonyi, Mihály (ed.) et al., Operator theory, structured matrices, and dilations. Tiberiu Constantinescu memorial volume. Bucharest: Theta (ISBN 978-973-87899-0-6). Theta Series in Advanced Mathematics 7, 229-306 (2007). MSC: 47-02 47A13 47A57 44A60 14P10 13J30 93C05 15B48 47A63 12D15 PDFBibTeX XMLCite \textit{J. W. Helton} and \textit{M. Putinar}, Theta Ser. Adv. Math. 7, 229--306 (2007; Zbl 1199.47001) Full Text: arXiv
Alfakih, Abdo Y. On dimensional rigidity of bar-and-joint frameworks. (English) Zbl 1116.52007 Discrete Appl. Math. 155, No. 10, 1244-1253 (2007). MSC: 52C25 90C22 05C50 15B57 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Discrete Appl. Math. 155, No. 10, 1244--1253 (2007; Zbl 1116.52007) Full Text: DOI
Helton, J. William; McCullough, Scott A.; Vinnikov, Victor Noncommutative convexity arises from linear matrix inequalities. (English) Zbl 1135.47005 J. Funct. Anal. 240, No. 1, 105-191 (2006). Reviewer: Frank Hansen (Copenhagen) MSC: 47A13 14P10 15B48 47A56 15A39 93B25 PDFBibTeX XMLCite \textit{J. W. Helton} et al., J. Funct. Anal. 240, No. 1, 105--191 (2006; Zbl 1135.47005) Full Text: DOI
Camino, Juan F.; Helton, J. William; Skelton, Robert E. Solving matrix inequalities whose unknowns are matrices. (English) Zbl 1112.90058 SIAM J. Optim. 17, No. 1, 1-36 (2006). MSC: 90C25 90C22 15A42 15A39 93A99 PDFBibTeX XMLCite \textit{J. F. Camino} et al., SIAM J. Optim. 17, No. 1, 1--36 (2006; Zbl 1112.90058) Full Text: DOI
Alfakih, Abdo Y. On the uniqueness of Euclidean distance matrix completions: the case of points in general position. (English) Zbl 1072.15019 Linear Algebra Appl. 397, 265-277 (2005). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 15B48 51K05 52B35 90C22 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Linear Algebra Appl. 397, 265--277 (2005; Zbl 1072.15019) Full Text: DOI
Apkarian, Pierre; Noll, Dominikus; Tuan, Hoang Duong Fixed-order \(H_{\infty}\) control design via a partially augmented Lagrangian method. (English) Zbl 1036.93012 Int. J. Robust Nonlinear Control 13, No. 12, 1137-1148 (2003). Reviewer: V. Dragan (Bucureşti) MSC: 93B36 93B50 15A39 93B40 90C22 PDFBibTeX XMLCite \textit{P. Apkarian} et al., Int. J. Robust Nonlinear Control 13, No. 12, 1137--1148 (2003; Zbl 1036.93012) Full Text: DOI
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri Positive polynomial matrices and improved LMI robustness conditions. (English) Zbl 1037.93027 Automatica 39, No. 8, 1479-1485 (2003). Reviewer: Johannes W. Nieuwenhuis (Groningen) MSC: 93B40 15A39 93B35 93D09 PDFBibTeX XMLCite \textit{D. Henrion} et al., Automatica 39, No. 8, 1479--1485 (2003; Zbl 1037.93027) Full Text: DOI
Sturm, Jos F. Similarity and other spectral relations for symmetric cones. (English) Zbl 0973.90093 Linear Algebra Appl. 312, No. 1-3, 135-154 (2000). MSC: 90C46 15B48 17C99 PDFBibTeX XMLCite \textit{J. F. Sturm}, Linear Algebra Appl. 312, No. 1--3, 135--154 (2000; Zbl 0973.90093) Full Text: DOI