Seeger, Alberto Condition number minimization in Euclidean Jordan algebras. (English) Zbl 1511.90337 SIAM J. Optim. 32, No. 2, 635-658 (2022). MSC: 90C26 17C37 15A12 15A18 49J52 PDFBibTeX XMLCite \textit{A. Seeger}, SIAM J. Optim. 32, No. 2, 635--658 (2022; Zbl 1511.90337) Full Text: DOI
Ding, Lijun; Udell, Madeleine On the simplicity and conditioning of low rank semidefinite programs. (English) Zbl 1479.90154 SIAM J. Optim. 31, No. 4, 2614-2637 (2021). MSC: 90C22 90C06 49M05 PDFBibTeX XMLCite \textit{L. Ding} and \textit{M. Udell}, SIAM J. Optim. 31, No. 4, 2614--2637 (2021; Zbl 1479.90154) Full Text: DOI arXiv
Breiding, Paul; Vannieuwenhoven, Nick A Riemannian trust region method for the canonical tensor rank approximation problem. (English) Zbl 1397.15022 SIAM J. Optim. 28, No. 3, 2435-2465 (2018). MSC: 15A69 53B21 53B20 65K10 90C53 14P10 65Y20 65F35 PDFBibTeX XMLCite \textit{P. Breiding} and \textit{N. Vannieuwenhoven}, SIAM J. Optim. 28, No. 3, 2435--2465 (2018; Zbl 1397.15022) Full Text: DOI arXiv
Raghunathan, Arvind U.; Biegler, Lorenz T. \(LDL^T\) direction interior point method for semidefinite programming. (English) Zbl 1453.65136 SIAM J. Optim. 28, No. 1, 693-734 (2018). MSC: 65K05 90C22 90C51 PDFBibTeX XMLCite \textit{A. U. Raghunathan} and \textit{L. T. Biegler}, SIAM J. Optim. 28, No. 1, 693--734 (2018; Zbl 1453.65136) Full Text: DOI
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
Friedland, Shmuel; Lim, Lek-Heng The computational complexity of duality. (English) Zbl 1353.65144 SIAM J. Optim. 26, No. 4, 2378-2393 (2016). MSC: 65Y20 65K05 90C25 15B48 52A41 65F35 90C46 90C60 PDFBibTeX XMLCite \textit{S. Friedland} and \textit{L.-H. Lim}, SIAM J. Optim. 26, No. 4, 2378--2393 (2016; Zbl 1353.65144) Full Text: DOI arXiv
Jarre, Florian; Hergenroeder, Chantal A symmetric reduction of the NT direction. (English) Zbl 1297.90108 SIAM J. Optim. 24, No. 2, 714-732 (2014). MSC: 90C22 90C05 65F35 PDFBibTeX XMLCite \textit{F. Jarre} and \textit{C. Hergenroeder}, SIAM J. Optim. 24, No. 2, 714--732 (2014; Zbl 1297.90108) Full Text: DOI Link
Greif, Chen; Moulding, Erin; Orban, Dominique Bounds on eigenvalues of matrices arising from interior-point methods. (English) Zbl 1291.15008 SIAM J. Optim. 24, No. 1, 49-83 (2014). MSC: 15A06 15A12 15A18 15B57 90C06 90C20 65F22 PDFBibTeX XMLCite \textit{C. Greif} et al., SIAM J. Optim. 24, No. 1, 49--83 (2014; Zbl 1291.15008) Full Text: DOI Link
Cheung, Dennis; Cucker, Felipe On the average condition of random linear programs. (English) Zbl 1273.90116 SIAM J. Optim. 23, No. 2, 799-810 (2013). MSC: 90C05 65G50 65K99 PDFBibTeX XMLCite \textit{D. Cheung} and \textit{F. Cucker}, SIAM J. Optim. 23, No. 2, 799--810 (2013; Zbl 1273.90116) Full Text: DOI
Ye, Jane J.; Zhou, Julie Minimizing the condition number to construct design points for polynomial regression models. (English) Zbl 1274.62497 SIAM J. Optim. 23, No. 1, 666-686 (2013). MSC: 62K05 90C30 65F35 PDFBibTeX XMLCite \textit{J. J. Ye} and \textit{J. Zhou}, SIAM J. Optim. 23, No. 1, 666--686 (2013; Zbl 1274.62497) Full Text: DOI Link
Cabot, A.; Thibault, L. Inclusion of subdifferentials, linear well-conditioning, and steepest descent equation. (English) Zbl 1266.49025 SIAM J. Optim. 23, No. 1, 552-575 (2013). MSC: 49J52 52A41 47N10 34A60 34G25 PDFBibTeX XMLCite \textit{A. Cabot} and \textit{L. Thibault}, SIAM J. Optim. 23, No. 1, 552--575 (2013; Zbl 1266.49025) Full Text: DOI
Shahzad, Amir; Kerrigan, Eric C.; Constantinides, George A. A stable and efficient method for solving a convex quadratic program with application to optimal control. (English) Zbl 1263.90127 SIAM J. Optim. 22, No. 4, 1369-1393 (2012). MSC: 90C51 90C20 90C06 15A12 49M15 49N05 PDFBibTeX XMLCite \textit{A. Shahzad} et al., SIAM J. Optim. 22, No. 4, 1369--1393 (2012; Zbl 1263.90127) Full Text: DOI
Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J. Minimizing the condition number of a Gram matrix. (English) Zbl 1220.65055 SIAM J. Optim. 21, No. 1, 127-148 (2011). Reviewer: Constantin Popa (Constanţa) MSC: 65F35 90C26 15A12 15B57 PDFBibTeX XMLCite \textit{X. Chen} et al., SIAM J. Optim. 21, No. 1, 127--148 (2011; Zbl 1220.65055) Full Text: DOI Link
Vera, Jorge R.; Derpich, Iván Incorporating condition measures in the context of combinatorial optimization. (English) Zbl 1131.90035 SIAM J. Optim. 16, No. 4, 965-985 (2006). MSC: 90C10 90C57 68Q25 PDFBibTeX XMLCite \textit{J. R. Vera} and \textit{I. Derpich}, SIAM J. Optim. 16, No. 4, 965--985 (2006; Zbl 1131.90035) Full Text: DOI Link
Hu, Qiya; Zou, Jun Nonlinear inexact Uzawa algorithms for linear and nonlinear saddle-point problems. (English) Zbl 1098.65034 SIAM J. Optim. 16, No. 3, 798-825 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N22 65F35 65H10 PDFBibTeX XMLCite \textit{Q. Hu} and \textit{J. Zou}, SIAM J. Optim. 16, No. 3, 798--825 (2006; Zbl 1098.65034) Full Text: DOI
Monteiro, Renato D. C.; O’Neal, Jerome W.; Tsuchiya, Takashi Uniform boundedness of a preconditioned normal matrix used in interior-point methods. (English) Zbl 1075.65085 SIAM J. Optim. 15, No. 1, 96-100 (2004). MSC: 65K05 65F35 90C05 90C35 90C51 PDFBibTeX XMLCite \textit{R. D. C. Monteiro} et al., SIAM J. Optim. 15, No. 1, 96--100 (2004; Zbl 1075.65085) Full Text: DOI
Zolezzi, T. Condition number theorems in optimization. (English) Zbl 1041.49026 SIAM J. Optim. 14, No. 2, 507-516 (2003). MSC: 49K40 90C31 PDFBibTeX XMLCite \textit{T. Zolezzi}, SIAM J. Optim. 14, No. 2, 507--516 (2003; Zbl 1041.49026) Full Text: DOI
Epelman, Marina; Freund, Robert M. A new condition measure, preconditioners, and relations between different measures of conditioning for conic linear systems. (English) Zbl 1046.90038 SIAM J. Optim. 12, No. 3, 627-655 (2002). MSC: 90C05 90C60 90C25 PDFBibTeX XMLCite \textit{M. Epelman} and \textit{R. M. Freund}, SIAM J. Optim. 12, No. 3, 627--655 (2002; Zbl 1046.90038) Full Text: DOI
Morales, José Luis; Nocedal, Jorge Automatic preconditioning by limited memory quasi-Newton updating. (English) Zbl 1020.65019 SIAM J. Optim. 10, No. 4, 1079-1096 (2000). MSC: 65F10 90C30 65K05 65F35 65N30 PDFBibTeX XMLCite \textit{J. L. Morales} and \textit{J. Nocedal}, SIAM J. Optim. 10, No. 4, 1079--1096 (2000; Zbl 1020.65019) Full Text: DOI
Peña, Javier Understanding the geometry of infeasible perturbations of a conic linear system. (English) Zbl 0957.15005 SIAM J. Optim. 10, No. 2, 534-550 (2000). Reviewer: Václav Burjan (Praha) MSC: 15A12 65F35 90C25 90C31 PDFBibTeX XMLCite \textit{J. Peña}, SIAM J. Optim. 10, No. 2, 534--550 (2000; Zbl 0957.15005) Full Text: DOI
Freund, Robert M.; Vera, Jorge R. Condition-based complexity of convex optimization in conic linear form via the ellipsoid algorithm. (English) Zbl 0953.90044 SIAM J. Optim. 10, No. 1, 155-176 (1999). MSC: 90C25 90C60 90C05 PDFBibTeX XMLCite \textit{R. M. Freund} and \textit{J. R. Vera}, SIAM J. Optim. 10, No. 1, 155--176 (1999; Zbl 0953.90044) Full Text: DOI
Wright, Margaret H. Ill-conditioning and computational error in interior methods for nonlinear programming. (English) Zbl 0957.65056 SIAM J. Optim. 9, No. 1, 84-111 (1998). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{M. H. Wright}, SIAM J. Optim. 9, No. 1, 84--111 (1998; Zbl 0957.65056) Full Text: DOI
Fletcher, Roger A new degeneracy method and steepest-edge-based conditioning for LP. (English) Zbl 0918.65042 SIAM J. Optim. 8, No. 4, 1038-1059 (1998). Reviewer: J.Guddat (Berlin) MSC: 65K05 90C05 PDFBibTeX XMLCite \textit{R. Fletcher}, SIAM J. Optim. 8, No. 4, 1038--1059 (1998; Zbl 0918.65042) Full Text: DOI
Renegar, James Condition numbers, the barrier method, and the conjugate-gradient method. (English) Zbl 0872.65048 SIAM J. Optim. 6, No. 4, 879-912 (1996). Reviewer: E.Duca (Cluj-Napoca) MSC: 65K05 65F35 90C05 90C25 PDFBibTeX XMLCite \textit{J. Renegar}, SIAM J. Optim. 6, No. 4, 879--912 (1996; Zbl 0872.65048) Full Text: DOI
Vera, Jorge R. Ill-posedness and the complexity of deciding existence of solutions to linear programs. (English) Zbl 0856.90077 SIAM J. Optim. 6, No. 3, 549-569 (1996). MSC: 90C05 90C60 PDFBibTeX XMLCite \textit{J. R. Vera}, SIAM J. Optim. 6, No. 3, 549--569 (1996; Zbl 0856.90077) Full Text: DOI
Luo, Xiao-Dong; Luo, Zhi-Quan Extension of Hoffman’s error bound to polynomial systems. (English) Zbl 0821.90113 SIAM J. Optim. 4, No. 2, 383-392 (1994). MSC: 90C31 65F35 15A39 PDFBibTeX XMLCite \textit{X.-D. Luo} and \textit{Z.-Q. Luo}, SIAM J. Optim. 4, No. 2, 383--392 (1994; Zbl 0821.90113) Full Text: DOI
Li, Wu; Swetits, John A Newton method for convex regression, data smoothing, and quadratic programming with bounded constraints. (English) Zbl 0793.90048 SIAM J. Optim. 3, No. 3, 466-488 (1993). MSC: 90C20 90C33 49M15 90C90 90C31 41A29 15A12 62F30 90C25 PDFBibTeX XMLCite \textit{W. Li} and \textit{J. Swetits}, SIAM J. Optim. 3, No. 3, 466--488 (1993; Zbl 0793.90048) Full Text: DOI
Rothblum, Uriel G. Linear inequality scaling problems. (English) Zbl 0761.15015 SIAM J. Optim. 2, No. 4, 635-648 (1992). Reviewer: P.Narain (Bombay) MSC: 15A39 15A12 90C25 90C90 PDFBibTeX XMLCite \textit{U. G. Rothblum}, SIAM J. Optim. 2, No. 4, 635--648 (1992; Zbl 0761.15015) Full Text: DOI
Ortega, James M. Orderings for conjugate gradient preconditioning. (English) Zbl 0758.65028 SIAM J. Optim. 1, No. 4, 565-582 (1991). Reviewer: N.Köckler (Paderborn) MSC: 65F10 65N22 65F35 35J05 PDFBibTeX XMLCite \textit{J. M. Ortega}, SIAM J. Optim. 1, No. 4, 565--582 (1991; Zbl 0758.65028) Full Text: DOI