Curtis, Frank E.; Wang, Qi Worst-case complexity of TRACE with inexact subproblem solutions for nonconvex smooth optimization. (English) Zbl 1522.90119 SIAM J. Optim. 33, No. 3, 2191-2221 (2023). MSC: 90C26 65K05 65K10 65Y20 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{Q. Wang}, SIAM J. Optim. 33, No. 3, 2191--2221 (2023; Zbl 1522.90119) Full Text: DOI arXiv
Aktaş, Fatih S.; Pinar, Mustafa Ç. PCA sparsified. (English) Zbl 07731067 SIAM J. Optim. 33, No. 3, 2089-2117 (2023). MSC: 62H25 65K05 90C22 PDFBibTeX XMLCite \textit{F. S. Aktaş} and \textit{M. Ç. Pinar}, SIAM J. Optim. 33, No. 3, 2089--2117 (2023; Zbl 07731067) Full Text: DOI
Wang, Alex L.; Lu, Yunlei; Kilinç-Karzan, Fatma Implicit regularity and linear convergence rates for the generalized trust-region subproblem. (English) Zbl 1522.90069 SIAM J. Optim. 33, No. 2, 1250-1278 (2023). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{A. L. Wang} et al., SIAM J. Optim. 33, No. 2, 1250--1278 (2023; Zbl 1522.90069) Full Text: DOI arXiv
Consolini, Luca; Locatelli, Marco Sharp and fast bounds for the Celis-Dennis-Tapia problem. (English) Zbl 1519.90146 SIAM J. Optim. 33, No. 2, 868-898 (2023). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{L. Consolini} and \textit{M. Locatelli}, SIAM J. Optim. 33, No. 2, 868--898 (2023; Zbl 1519.90146) Full Text: DOI arXiv
Song, Mengmeng; Liu, Hongying; Wang, Jiulin; Xia, Yong On local minimizers of nonconvex homogeneous quadratically constrained quadratic optimization with at most two constraints. (English) Zbl 1527.90179 SIAM J. Optim. 33, No. 1, 267-293 (2023). MSC: 90C26 90C20 90C46 90C32 PDFBibTeX XMLCite \textit{M. Song} et al., SIAM J. Optim. 33, No. 1, 267--293 (2023; Zbl 1527.90179) Full Text: DOI
Aravkin, Aleksandr Y.; Baraldi, Robert; Orban, Dominique A proximal quasi-Newton trust-region method for nonsmooth regularized optimization. (English) Zbl 1493.90139 SIAM J. Optim. 32, No. 2, 900-929 (2022). MSC: 90C26 90C53 90C56 65K10 PDFBibTeX XMLCite \textit{A. Y. Aravkin} et al., SIAM J. Optim. 32, No. 2, 900--929 (2022; Zbl 1493.90139) Full Text: DOI arXiv
Larson, Jeffrey; Menickelly, Matt; Zhou, Baoyu Manifold sampling for optimizing nonsmooth nonconvex compositions. (English) Zbl 1489.90214 SIAM J. Optim. 31, No. 4, 2638-2664 (2021). Reviewer: Aris Daniilidis (Vienna) MSC: 90C56 49J52 PDFBibTeX XMLCite \textit{J. Larson} et al., SIAM J. Optim. 31, No. 4, 2638--2664 (2021; Zbl 1489.90214) Full Text: DOI arXiv
Jia, Zhongxiao; Wang, Fa The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. (English) Zbl 1462.90083 SIAM J. Optim. 31, No. 1, 887-914 (2021). MSC: 90C20 90C30 65K05 65F10 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{F. Wang}, SIAM J. Optim. 31, No. 1, 887--914 (2021; Zbl 1462.90083) Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J. Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. (English) Zbl 1461.90107 SIAM J. Optim. 31, No. 1, 518-544 (2021). MSC: 90C26 49M05 49M15 65K05 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., SIAM J. Optim. 31, No. 1, 518--544 (2021; Zbl 1461.90107) Full Text: DOI arXiv
Nohra, Carlos J.; Raghunathan, Arvind U.; Sahinidis, Nikolaos Spectral relaxations and branching strategies for global optimization of mixed-integer quadratic programs. (English) Zbl 1458.90486 SIAM J. Optim. 31, No. 1, 142-171 (2021). MSC: 90C11 90C20 90C26 PDFBibTeX XMLCite \textit{C. J. Nohra} et al., SIAM J. Optim. 31, No. 1, 142--171 (2021; Zbl 1458.90486) Full Text: DOI arXiv
Jiang, Rujun; Li, Duan A linear-time algorithm for generalized trust region subproblems. (English) Zbl 1461.90086 SIAM J. Optim. 30, No. 1, 915-932 (2020). MSC: 90C20 90C22 90C26 68W25 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{D. Li}, SIAM J. Optim. 30, No. 1, 915--932 (2020; Zbl 1461.90086) Full Text: DOI arXiv
Lieder, Felix Solving large-scale cubic regularization by a generalized eigenvalue problem. (English) Zbl 1458.90589 SIAM J. Optim. 30, No. 4, 3345-3358 (2020). MSC: 90C30 90-08 49M15 65K05 PDFBibTeX XMLCite \textit{F. Lieder}, SIAM J. Optim. 30, No. 4, 3345--3358 (2020; Zbl 1458.90589) Full Text: DOI
Daneshmand, Amir; Scutari, Gesualdo; Kungurtsev, Vyacheslav Second-order guarantees of distributed gradient algorithms. (English) Zbl 1493.90141 SIAM J. Optim. 30, No. 4, 3029-3068 (2020). MSC: 90C26 68W15 90C35 PDFBibTeX XMLCite \textit{A. Daneshmand} et al., SIAM J. Optim. 30, No. 4, 3029--3068 (2020; Zbl 1493.90141) Full Text: DOI arXiv
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan An asymptotically superlinearly convergent semismooth Newton augmented Lagrangian method for linear programming. (English) Zbl 1450.90007 SIAM J. Optim. 30, No. 3, 2410-2440 (2020). MSC: 90C05 90C06 90C25 65F10 PDFBibTeX XMLCite \textit{X. Li} et al., SIAM J. Optim. 30, No. 3, 2410--2440 (2020; Zbl 1450.90007) Full Text: DOI arXiv
Milz, Johannes; Ulbrich, Michael An approximation scheme for distributionally robust nonlinear optimization. (English) Zbl 1448.90068 SIAM J. Optim. 30, No. 3, 1996-2025 (2020). MSC: 90C17 90C26 90C46 90C59 49M37 PDFBibTeX XMLCite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Optim. 30, No. 3, 1996--2025 (2020; Zbl 1448.90068) Full Text: DOI
Wang, Jiulin; Xia, Yong Closing the gap between necessary and sufficient conditions for local nonglobal minimizer of trust region subproblem. (English) Zbl 1491.90115 SIAM J. Optim. 30, No. 3, 1980-1995 (2020). MSC: 90C20 90C26 90C30 90C46 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Xia}, SIAM J. Optim. 30, No. 3, 1980--1995 (2020; Zbl 1491.90115) Full Text: DOI
Wang, Long-Fei; Xia, Yong A linear-time algorithm for globally maximizing the sum of a generalized Rayleigh quotient and a quadratic form on the unit sphere. (English) Zbl 1421.90122 SIAM J. Optim. 29, No. 3, 1844-1869 (2019). MSC: 90C26 90C32 90C20 90C22 PDFBibTeX XMLCite \textit{L.-F. Wang} and \textit{Y. Xia}, SIAM J. Optim. 29, No. 3, 1844--1869 (2019; Zbl 1421.90122) Full Text: DOI
Jiang, Rujun; Li, Duan Novel reformulations and efficient algorithms for the generalized trust region subproblem. (English) Zbl 1421.90105 SIAM J. Optim. 29, No. 2, 1603-1633 (2019). MSC: 90C20 90C25 90C26 90C30 90C47 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{D. Li}, SIAM J. Optim. 29, No. 2, 1603--1633 (2019; Zbl 1421.90105) Full Text: DOI arXiv
Paternain, Santiago; Mokhtari, Aryan; Ribeiro, Alejandro A Newton-based method for nonconvex optimization with fast evasion of saddle points. (English) Zbl 1410.90202 SIAM J. Optim. 29, No. 1, 343-368 (2019). MSC: 90C30 90C06 PDFBibTeX XMLCite \textit{S. Paternain} et al., SIAM J. Optim. 29, No. 1, 343--368 (2019; Zbl 1410.90202) Full Text: DOI arXiv
Khan, Kamil A.; Larson, Jeffrey; Wild, Stefan M. Manifold sampling for optimization of nonconvex functions that are piecewise linear compositions of smooth components. (English) Zbl 1407.90351 SIAM J. Optim. 28, No. 4, 3001-3024 (2018). MSC: 90C56 49J52 PDFBibTeX XMLCite \textit{K. A. Khan} et al., SIAM J. Optim. 28, No. 4, 3001--3024 (2018; Zbl 1407.90351) Full Text: DOI
Beck, Amir; Vaisbourd, Yakov Globally solving the trust region subproblem using simple first-order methods. (English) Zbl 1455.90104 SIAM J. Optim. 28, No. 3, 1951-1967 (2018). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 90C06 90C26 90C46 PDFBibTeX XMLCite \textit{A. Beck} and \textit{Y. Vaisbourd}, SIAM J. Optim. 28, No. 3, 1951--1967 (2018; Zbl 1455.90104) Full Text: DOI
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza Complexity analysis of a trust funnel algorithm for equality constrained optimization. (English) Zbl 1391.49056 SIAM J. Optim. 28, No. 2, 1533-1563 (2018). MSC: 49M15 49M37 65K05 65K10 65Y20 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., SIAM J. Optim. 28, No. 2, 1533--1563 (2018; Zbl 1391.49056) Full Text: DOI arXiv
Zhang, Lei-Hong; Shen, Chungen; Li, Ren-Cang On the generalized Lanczos trust-region method. (English) Zbl 1380.90210 SIAM J. Optim. 27, No. 3, 2110-2142 (2017). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Optim. 27, No. 3, 2110--2142 (2017; Zbl 1380.90210) Full Text: DOI
Castro, Jordi; Nasini, Stefano On geometrical properties of preconditioners in IPMs for classes of block-angular problems. (English) Zbl 1369.90102 SIAM J. Optim. 27, No. 3, 1666-1693 (2017). MSC: 90C06 90C08 90C51 PDFBibTeX XMLCite \textit{J. Castro} and \textit{S. Nasini}, SIAM J. Optim. 27, No. 3, 1666--1693 (2017; Zbl 1369.90102) Full Text: DOI
Ho-Nguyen, Nam; Kilinç-Karzan, Fatma A second-order cone based approach for solving the trust-region subproblem and its variants. (English) Zbl 1370.90170 SIAM J. Optim. 27, No. 3, 1485-1512 (2017). MSC: 90C20 90C25 90C26 90C30 PDFBibTeX XMLCite \textit{N. Ho-Nguyen} and \textit{F. Kilinç-Karzan}, SIAM J. Optim. 27, No. 3, 1485--1512 (2017; Zbl 1370.90170) Full Text: DOI arXiv
Birgin, E. G.; Martínez, J. M. The use of quadratic regularization with a cubic descent condition for unconstrained optimization. (English) Zbl 1370.90260 SIAM J. Optim. 27, No. 2, 1049-1074 (2017). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, SIAM J. Optim. 27, No. 2, 1049--1074 (2017; Zbl 1370.90260) Full Text: DOI
Adachi, Satoru; Iwata, Satoru; Nakatsukasa, Yuji; Takeda, Akiko Solving the trust-region subproblem by a generalized eigenvalue problem. (English) Zbl 1359.49009 SIAM J. Optim. 27, No. 1, 269-291 (2017). MSC: 49M37 65K10 90C25 90C30 PDFBibTeX XMLCite \textit{S. Adachi} et al., SIAM J. Optim. 27, No. 1, 269--291 (2017; Zbl 1359.49009) Full Text: DOI
Hager, William W.; Zhang, Hongchao Projection onto a polyhedron that exploits sparsity. (English) Zbl 1346.90653 SIAM J. Optim. 26, No. 3, 1773-1798 (2016). MSC: 90C20 90C06 90C25 65Y20 PDFBibTeX XMLCite \textit{W. W. Hager} and \textit{H. Zhang}, SIAM J. Optim. 26, No. 3, 1773--1798 (2016; Zbl 1346.90653) Full Text: DOI
Jiang, Rujun; Li, Duan Simultaneous diagonalization of matrices and its applications in quadratically constrained quadratic programming. (English) Zbl 1347.65107 SIAM J. Optim. 26, No. 3, 1649-1668 (2016). MSC: 65K05 90C25 15A21 15A22 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{D. Li}, SIAM J. Optim. 26, No. 3, 1649--1668 (2016; Zbl 1347.65107) Full Text: DOI arXiv
Shtern, Shimrit; Ben-Tal, Aharon Computational methods for solving nonconvex block-separable constrained quadratic problems. (English) Zbl 1338.90293 SIAM J. Optim. 26, No. 2, 1174-1206 (2016). MSC: 90C20 90C26 90C22 90C59 PDFBibTeX XMLCite \textit{S. Shtern} and \textit{A. Ben-Tal}, SIAM J. Optim. 26, No. 2, 1174--1206 (2016; Zbl 1338.90293) Full Text: DOI
Yang, Boshi; Burer, Samuel A two-variable approach to the two-trust-region subproblem. (English) Zbl 1333.90087 SIAM J. Optim. 26, No. 1, 661-680 (2016). MSC: 90C20 90C22 90C25 90C26 90C30 PDFBibTeX XMLCite \textit{B. Yang} and \textit{S. Burer}, SIAM J. Optim. 26, No. 1, 661--680 (2016; Zbl 1333.90087) Full Text: DOI Link
Liu, Xin; Wen, Zaiwen; Zhang, Yin An efficient Gauss-Newton algorithm for symmetric low-rank product matrix approximations. (English) Zbl 1321.65060 SIAM J. Optim. 25, No. 3, 1571-1608 (2015). MSC: 65F20 15A83 65F10 62H35 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Optim. 25, No. 3, 1571--1608 (2015; Zbl 1321.65060) Full Text: DOI