Grussler, Christian; Giselsson, Pontus Efficient proximal mapping computation for low-rank inducing norms. (English) Zbl 1484.90044 J. Optim. Theory Appl. 192, No. 1, 168-194 (2022). MSC: 90C06 90C25 90C26 15A83 90C30 90C59 90C90 PDFBibTeX XMLCite \textit{C. Grussler} and \textit{P. Giselsson}, J. Optim. Theory Appl. 192, No. 1, 168--194 (2022; Zbl 1484.90044) Full Text: DOI arXiv
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
Chen, Jinchi; Gao, Weiguo; Wei, Ke Exact matrix completion based on low rank Hankel structure in the Fourier domain. (English) Zbl 1472.15038 Appl. Comput. Harmon. Anal. 55, 149-184 (2021). MSC: 15A83 65F50 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Comput. Harmon. Anal. 55, 149--184 (2021; Zbl 1472.15038) Full Text: DOI arXiv
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
Dickinson, Peter J. C.; de Zeeuw, Reinier Generating irreducible copositive matrices using the stable set problem. (English) Zbl 1462.05218 Discrete Appl. Math. 296, 103-117 (2021). MSC: 05C50 05C69 15B48 PDFBibTeX XMLCite \textit{P. J. C. Dickinson} and \textit{R. de Zeeuw}, Discrete Appl. Math. 296, 103--117 (2021; Zbl 1462.05218) 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
Groetzner, Patrick; Dür, Mirjam A factorization method for completely positive matrices. (English) Zbl 1442.90138 Linear Algebra Appl. 591, 1-24 (2020). MSC: 90C22 15A23 15B48 PDFBibTeX XMLCite \textit{P. Groetzner} and \textit{M. Dür}, Linear Algebra Appl. 591, 1--24 (2020; Zbl 1442.90138) Full Text: DOI
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
Xu, Yi; Yan, Xihong On a box-constrained linear symmetric cone optimization problem. (English) Zbl 1447.65010 J. Optim. Theory Appl. 181, No. 3, 946-971 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 65K10 65K05 15B48 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{X. Yan}, J. Optim. Theory Appl. 181, No. 3, 946--971 (2019; Zbl 1447.65010) Full Text: DOI
Soh, Yong Sheng; Chandrasekaran, Venkat Learning semidefinite regularizers. (English) Zbl 1411.90269 Found. Comput. Math. 19, No. 2, 375-434 (2019). MSC: 90C25 90C22 15A24 41A45 52A41 PDFBibTeX XMLCite \textit{Y. S. Soh} and \textit{V. Chandrasekaran}, Found. Comput. Math. 19, No. 2, 375--434 (2019; Zbl 1411.90269) Full Text: DOI arXiv Link
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
Mizutani, Tomohiko; Tanaka, Mirai Efficient preconditioning for noisy separable nonnegative matrix factorization problems by successive projection based low-rank approximations. (English) Zbl 1459.65039 Mach. Learn. 107, No. 4, 643-673 (2018). MSC: 65F08 15A23 65F55 PDFBibTeX XMLCite \textit{T. Mizutani} and \textit{M. Tanaka}, Mach. Learn. 107, No. 4, 643--673 (2018; Zbl 1459.65039) Full Text: DOI arXiv
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
Huang, Zheng-Hai; Qi, Liqun Positive definiteness of paired symmetric tensors and elasticity tensors. (English) Zbl 1392.74015 J. Comput. Appl. Math. 338, 22-43 (2018). MSC: 74B20 15A72 15B57 PDFBibTeX XMLCite \textit{Z.-H. Huang} and \textit{L. Qi}, J. Comput. Appl. Math. 338, 22--43 (2018; Zbl 1392.74015) Full Text: DOI arXiv
Zhang, Teng; Singer, Amit Disentangling orthogonal matrices. (English) Zbl 1360.15018 Linear Algebra Appl. 524, 159-181 (2017). MSC: 15A24 90C22 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{A. Singer}, Linear Algebra Appl. 524, 159--181 (2017; Zbl 1360.15018) Full Text: DOI arXiv Link
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
Wen, Rui-Ping; Yan, Xi-Hong A new gradient projection method for matrix completion. (English) Zbl 1338.15057 Appl. Math. Comput. 258, 537-544 (2015). MSC: 15A86 65F99 90C90 PDFBibTeX XMLCite \textit{R.-P. Wen} and \textit{X.-H. Yan}, Appl. Math. Comput. 258, 537--544 (2015; Zbl 1338.15057) Full Text: DOI
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
Choi, Daeshik; Greenbaum, Anne Roots of matrices in the study of GMRES convergence and Crouzeix’s conjecture. (English) Zbl 1314.15015 SIAM J. Matrix Anal. Appl. 36, No. 1, 289-301 (2015). MSC: 15A60 65F10 PDFBibTeX XMLCite \textit{D. Choi} and \textit{A. Greenbaum}, SIAM J. Matrix Anal. Appl. 36, No. 1, 289--301 (2015; Zbl 1314.15015) 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
Mizutani, Tomohiko Ellipsoidal rounding for nonnegative matrix factorization under noisy separability. (English) Zbl 1319.65023 J. Mach. Learn. Res. 15, 1011-1039 (2014). MSC: 65F05 15A23 62H30 68T05 PDFBibTeX XMLCite \textit{T. Mizutani}, J. Mach. Learn. Res. 15, 1011--1039 (2014; Zbl 1319.65023) Full Text: arXiv Link
Chen, Mei-Xiang An augmented Lagrangian dual optimization approach to the \(H\)-weighted model updating problem. (English) Zbl 1293.65054 J. Comput. Appl. Math. 268, 111-120 (2014). MSC: 65F15 65H17 15A18 15A29 90C22 PDFBibTeX XMLCite \textit{M.-X. Chen}, J. Comput. Appl. Math. 268, 111--120 (2014; Zbl 1293.65054) Full Text: DOI
Hu, Shenglong; Huang, Zheng-Hai; Qi, Liqun Finding the extreme \(Z\)-eigenvalues of tensors via a sequential semidefinite programming method. (English) Zbl 1313.90173 Numer. Linear Algebra Appl. 20, No. 6, 972-984 (2013). Reviewer: Xinzhen Zhang (Tianjin) MSC: 90C22 15A69 90C05 PDFBibTeX XMLCite \textit{S. Hu} et al., Numer. Linear Algebra Appl. 20, No. 6, 972--984 (2013; Zbl 1313.90173) Full Text: DOI
Tanner, Jared; Wei, Ke Normalized iterative hard thresholding for matrix completion. (English) Zbl 1282.65043 SIAM J. Sci. Comput. 35, No. 5, S104-S125 (2013). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F10 15A29 15A83 41A29 PDFBibTeX XMLCite \textit{J. Tanner} and \textit{K. Wei}, SIAM J. Sci. Comput. 35, No. 5, S104--S125 (2013; Zbl 1282.65043) Full Text: DOI Link
Zhang, Su; Ang, James; Sun, Jie An alternating direction method for solving convex nonlinear semidefinite programming problems. (English) Zbl 1282.65073 Optimization 62, No. 4, 527-543 (2013). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C25 90C22 15A83 65F30 65K15 PDFBibTeX XMLCite \textit{S. Zhang} et al., Optimization 62, No. 4, 527--543 (2013; Zbl 1282.65073) Full Text: DOI Link
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
Zhang, Lei-Hong; Liao, Li-Zhi An alternating variable method for the maximal correlation problem. (English) Zbl 1318.62200 J. Glob. Optim. 54, No. 1, 199-218 (2012). MSC: 62H20 15A12 65F10 65K05 PDFBibTeX XMLCite \textit{L.-H. Zhang} and \textit{L.-Z. Liao}, J. Glob. Optim. 54, No. 1, 199--218 (2012; Zbl 1318.62200) 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
Goldfarb, Donald; Ma, Shiqian Convergence of fixed-point continuation algorithms for matrix rank minimization. (English) Zbl 1219.90195 Found. Comput. Math. 11, No. 2, 183-210 (2011). MSC: 90C59 15B52 15A18 PDFBibTeX XMLCite \textit{D. Goldfarb} and \textit{S. Ma}, Found. Comput. Math. 11, No. 2, 183--210 (2011; Zbl 1219.90195) Full Text: DOI arXiv
Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei A singular value thresholding algorithm for matrix completion. (English) Zbl 1201.90155 SIAM J. Optim. 20, No. 4, 1956-1982 (2010). MSC: 90C25 15A83 65K05 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., SIAM J. Optim. 20, No. 4, 1956--1982 (2010; Zbl 1201.90155) Full Text: DOI arXiv Link
Zhang, H.; Cheng, L. Z. Projected Landweber iteration for matrix completion. (English) Zbl 1225.65049 J. Comput. Appl. Math. 235, No. 3, 593-601 (2010). Reviewer: Hu Yong-Jian (Beijing) MSC: 65F30 15A83 65K05 90C20 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{L. Z. Cheng}, J. Comput. Appl. Math. 235, No. 3, 593--601 (2010; Zbl 1225.65049) 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
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
Greenbaum, Anne Generalizations of the field of values useful in the study of polynomial functions of a matrix. (English) Zbl 1004.15027 Linear Algebra Appl. 347, No. 1-3, 233-249 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A60 15A54 65F10 PDFBibTeX XMLCite \textit{A. Greenbaum}, Linear Algebra Appl. 347, No. 1--3, 233--249 (2002; Zbl 1004.15027) 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