Wilhelm, Matthew E.; Stuber, Matthew D. Improved convex and concave relaxations of composite bilinear forms. (English) Zbl 1515.65163 J. Optim. Theory Appl. 197, No. 1, 174-204 (2023). MSC: 65K05 90C26 90C30 PDFBibTeX XMLCite \textit{M. E. Wilhelm} and \textit{M. D. Stuber}, J. Optim. Theory Appl. 197, No. 1, 174--204 (2023; Zbl 1515.65163) Full Text: DOI
Sun, Jun; Kong, Lingchen; Qu, Biao A greedy Newton-type method for multiple sparse constraint problem. (English) Zbl 1517.90112 J. Optim. Theory Appl. 196, No. 3, 829-854 (2023). MSC: 90C26 90C30 65K05 PDFBibTeX XMLCite \textit{J. Sun} et al., J. Optim. Theory Appl. 196, No. 3, 829--854 (2023; Zbl 1517.90112) Full Text: DOI
Wang, Jiulin; Song, Mengmeng; Xia, Yong On local nonglobal minimum of trust-region subproblem and extension. (English) Zbl 1506.90199 J. Optim. Theory Appl. 195, No. 2, 707-722 (2022). MSC: 90C20 90C26 90C30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Optim. Theory Appl. 195, No. 2, 707--722 (2022; Zbl 1506.90199) Full Text: DOI
Kanzow, Christian; Mehlitz, Patrick Convergence properties of monotone and nonmonotone proximal gradient methods revisited. (English) Zbl 1506.90246 J. Optim. Theory Appl. 195, No. 2, 624-646 (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{P. Mehlitz}, J. Optim. Theory Appl. 195, No. 2, 624--646 (2022; Zbl 1506.90246) Full Text: DOI arXiv
Che, Maolin; Chen, Juefei; Wei, Yimin Perturbations of the Tcur decomposition for tensor valued data in the Tucker format. (English) Zbl 1494.15024 J. Optim. Theory Appl. 194, No. 3, 852-877 (2022). MSC: 15A69 15A23 65F10 65F15 PDFBibTeX XMLCite \textit{M. Che} et al., J. Optim. Theory Appl. 194, No. 3, 852--877 (2022; Zbl 1494.15024) Full Text: DOI
Garstka, Michael; Cannon, Mark; Goulart, Paul COSMO: a conic operator splitting method for convex conic problems. (English) Zbl 1478.90087 J. Optim. Theory Appl. 190, No. 3, 779-810 (2021). MSC: 90C25 PDFBibTeX XMLCite \textit{M. Garstka} et al., J. Optim. Theory Appl. 190, No. 3, 779--810 (2021; Zbl 1478.90087) Full Text: DOI arXiv
Moosaei, Hossein; Hladík, Milan On the optimal correction of infeasible systems of linear inequalities. (English) Zbl 1482.90173 J. Optim. Theory Appl. 190, No. 1, 32-55 (2021). Reviewer: Julien Ugon (Burwood) MSC: 90C26 90C30 90C32 90C20 PDFBibTeX XMLCite \textit{H. Moosaei} and \textit{M. Hladík}, J. Optim. Theory Appl. 190, No. 1, 32--55 (2021; Zbl 1482.90173) Full Text: DOI
Li, Xiaobo; Wang, Xianfu; Krishan Lal, Manish A nonmonotone trust region method for unconstrained optimization problems on Riemannian manifolds. (English) Zbl 1471.65053 J. Optim. Theory Appl. 188, No. 2, 547-570 (2021). MSC: 65K05 65K10 90C48 49J40 PDFBibTeX XMLCite \textit{X. Li} et al., J. Optim. Theory Appl. 188, No. 2, 547--570 (2021; Zbl 1471.65053) Full Text: DOI
De Leone, Renato; Fasano, Giovanni; Roma, Massimo; Sergeyev, Yaroslav D. Iterative grossone-based computation of negative curvature directions in large-scale optimization. (English) Zbl 1450.90009 J. Optim. Theory Appl. 186, No. 2, 554-589 (2020). MSC: 90C06 90C30 65K05 PDFBibTeX XMLCite \textit{R. De Leone} et al., J. Optim. Theory Appl. 186, No. 2, 554--589 (2020; Zbl 1450.90009) Full Text: DOI
Hallak, Nadav; Teboulle, Marc Finding second-order stationary points in constrained minimization: a feasible direction approach. (English) Zbl 1450.90034 J. Optim. Theory Appl. 186, No. 2, 480-503 (2020). MSC: 90C26 90C30 65K05 90C46 90C31 PDFBibTeX XMLCite \textit{N. Hallak} and \textit{M. Teboulle}, J. Optim. Theory Appl. 186, No. 2, 480--503 (2020; Zbl 1450.90034) Full Text: DOI
Bellavia, Stefania; Riccietti, Elisa On an elliptical trust-region procedure for ill-posed nonlinear least-squares problems. (English) Zbl 1416.65159 J. Optim. Theory Appl. 178, No. 3, 824-859 (2018). MSC: 65J20 65J15 65K10 PDFBibTeX XMLCite \textit{S. Bellavia} and \textit{E. Riccietti}, J. Optim. Theory Appl. 178, No. 3, 824--859 (2018; Zbl 1416.65159) Full Text: DOI
Cano, Javier; Moguerza, Javier M.; Prieto, Francisco J. Using improved directions of negative curvature for the solution of bound-constrained nonconvex problems. (English) Zbl 1373.90144 J. Optim. Theory Appl. 174, No. 2, 474-499 (2017). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{J. Cano} et al., J. Optim. Theory Appl. 174, No. 2, 474--499 (2017; Zbl 1373.90144) Full Text: DOI
Diamond, Steven; Boyd, Stephen Stochastic matrix-free equilibration. (English) Zbl 1367.65068 J. Optim. Theory Appl. 172, No. 2, 436-454 (2017). MSC: 65F35 65K05 90C15 90C25 65F08 PDFBibTeX XMLCite \textit{S. Diamond} and \textit{S. Boyd}, J. Optim. Theory Appl. 172, No. 2, 436--454 (2017; Zbl 1367.65068) Full Text: DOI arXiv
Harms, Nadja; Hoheisel, Tim; Kanzow, Christian On a smooth dual gap function for a class of quasi-variational inequalities. (English) Zbl 1304.49018 J. Optim. Theory Appl. 163, No. 2, 413-438 (2014). MSC: 49J40 49M29 90C33 65K15 PDFBibTeX XMLCite \textit{N. Harms} et al., J. Optim. Theory Appl. 163, No. 2, 413--438 (2014; Zbl 1304.49018) Full Text: DOI
Misener, Ruth; Floudas, Christodoulos A. A framework for globally optimizing mixed-integer signomial programs. (English) Zbl 1303.90074 J. Optim. Theory Appl. 161, No. 3, 905-932 (2014). MSC: 90C11 90C26 PDFBibTeX XMLCite \textit{R. Misener} and \textit{C. A. Floudas}, J. Optim. Theory Appl. 161, No. 3, 905--932 (2014; Zbl 1303.90074) Full Text: DOI Link
Bouchala, J.; Dostál, Z.; Vodstrčil, P. Separable spherical constraints and the decrease of a quadratic function in the gradient projection step. (English) Zbl 1266.90137 J. Optim. Theory Appl. 157, No. 1, 132-140 (2013). MSC: 90C20 90C25 PDFBibTeX XMLCite \textit{J. Bouchala} et al., J. Optim. Theory Appl. 157, No. 1, 132--140 (2013; Zbl 1266.90137) Full Text: DOI
Ketabchi, Saeed; Moosaei, Hossein Optimal error correction and methods of feasible directions. (English) Zbl 1252.90063 J. Optim. Theory Appl. 154, No. 1, 209-216 (2012). MSC: 90C25 90C32 PDFBibTeX XMLCite \textit{S. Ketabchi} and \textit{H. Moosaei}, J. Optim. Theory Appl. 154, No. 1, 209--216 (2012; Zbl 1252.90063) Full Text: DOI
Beck, A. Convexity properties associated with nonconvex quadratic matrix functions and applications to quadratic programming. (English) Zbl 1188.90190 J. Optim. Theory Appl. 142, No. 1, 1-29 (2009). Reviewer: Stephan Dempe (Freiberg) MSC: 90C20 90C46 PDFBibTeX XMLCite \textit{A. Beck}, J. Optim. Theory Appl. 142, No. 1, 1--29 (2009; Zbl 1188.90190) Full Text: DOI
Al-Jeiroudi, G.; Gondzio, J. Convergence analysis of the inexact infeasible interior-point method for linear optimization. (English) Zbl 1176.90647 J. Optim. Theory Appl. 141, No. 2, 231-247 (2009). Reviewer: Efstratios Rappos (Athens) MSC: 90C51 90C05 90C06 PDFBibTeX XMLCite \textit{G. Al-Jeiroudi} and \textit{J. Gondzio}, J. Optim. Theory Appl. 141, No. 2, 231--247 (2009; Zbl 1176.90647) Full Text: DOI Link
Fasano, G. Planar conjugate gradient algorithm for large-scale unconstrained optimization. II: Application. (English) Zbl 1079.90163 J. Optimization Theory Appl. 125, No. 3, 543-558 (2005). MSC: 90C52 90C30 PDFBibTeX XMLCite \textit{G. Fasano}, J. Optim. Theory Appl. 125, No. 3, 543--558 (2005; Zbl 1079.90163) Full Text: DOI
Fasano, G. Planar conjugate gradient algorithm for large-scale unconstrained optimization. I: Theory. (English) Zbl 1079.90162 J. Optimization Theory Appl. 125, No. 3, 523-541 (2005). MSC: 90C52 90C30 PDFBibTeX XMLCite \textit{G. Fasano}, J. Optim. Theory Appl. 125, No. 3, 523--541 (2005; Zbl 1079.90162) Full Text: DOI
Qi, L.; Yang, Y. F. Globally and superlinearly convergent QP-free algorithm for nonlinear constrained optimization. (English) Zbl 1027.90089 J. Optimization Theory Appl. 113, No. 2, 297-323 (2002). Reviewer: A.Shapiro (Pretoria) MSC: 90C30 PDFBibTeX XMLCite \textit{L. Qi} and \textit{Y. F. Yang}, J. Optim. Theory Appl. 113, No. 2, 297--323 (2002; Zbl 1027.90089) Full Text: DOI
Pieraccini, S. Hybrid Newton-type method for a class of semismooth equations. (English) Zbl 0993.65073 J. Optimization Theory Appl. 112, No. 2, 381-402 (2002). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 65K05 65H10 90C33 PDFBibTeX XMLCite \textit{S. Pieraccini}, J. Optim. Theory Appl. 112, No. 2, 381--402 (2002; Zbl 0993.65073) Full Text: DOI
Zhang, J. Z.; Deng, N. Y.; Chen, L. H. New quasi-Newton equation and related methods for unconstrained optimization. (English) Zbl 0991.90135 J. Optimization Theory Appl. 102, No. 1, 147-167 (1999). MSC: 90C53 65K05 PDFBibTeX XMLCite \textit{J. Z. Zhang} et al., J. Optim. Theory Appl. 102, No. 1, 147--167 (1999; Zbl 0991.90135) Full Text: DOI
Xu, C. X.; Zhang, J. Z. Scaled optimal path trust-region algorithm. (English) Zbl 0939.90018 J. Optimization Theory Appl. 102, No. 1, 127-146 (1999). MSC: 90C30 PDFBibTeX XMLCite \textit{C. X. Xu} and \textit{J. Z. Zhang}, J. Optim. Theory Appl. 102, No. 1, 127--146 (1999; Zbl 0939.90018) Full Text: DOI
Wang, X.; Chang, T. S. A framework for globally convergent algorithms using gradient bounding functions. (English) Zbl 0949.90088 J. Optimization Theory Appl. 100, No. 3, 661-697 (1999). MSC: 90C30 90B35 PDFBibTeX XMLCite \textit{X. Wang} and \textit{T. S. Chang}, J. Optim. Theory Appl. 100, No. 3, 661--697 (1999; Zbl 0949.90088) Full Text: DOI
Zhou, W.; Chalabi, Z. S. Modifications of the Wolfe line search rules to satisfy second-order optimality conditions in unconstrained optimization. (English) Zbl 0897.90179 J. Optimization Theory Appl. 96, No. 1, 235-246 (1998). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{W. Zhou} and \textit{Z. S. Chalabi}, J. Optim. Theory Appl. 96, No. 1, 235--246 (1998; Zbl 0897.90179) Full Text: DOI
Jiang, H.; Qi, L. Globally and superlinearly convergent trust-region algorithm for convex \(SC^ 1\)-minimization problems and its application to stochastic programs. (English) Zbl 0866.90093 J. Optimization Theory Appl. 90, No. 3, 649-669 (1996). MSC: 90C25 90C15 PDFBibTeX XMLCite \textit{H. Jiang} and \textit{L. Qi}, J. Optim. Theory Appl. 90, No. 3, 649--669 (1996; Zbl 0866.90093) Full Text: DOI
Lukšan, L. Hybrid methods for large sparse nonlinear least squares. (English) Zbl 0851.90118 J. Optimization Theory Appl. 89, No. 3, 575-595 (1996). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{L. Lukšan}, J. Optim. Theory Appl. 89, No. 3, 575--595 (1996; Zbl 0851.90118) Full Text: DOI
El-Alem, M. M. Convergence to a second-order point of a trust-region algorithm with a nonmonotonic penalty parameter for constrained optimization. (English) Zbl 0873.90088 J. Optimization Theory Appl. 91, No. 1, 61-79 (1996). MSC: 90C30 49M30 PDFBibTeX XMLCite \textit{M. M. El-Alem}, J. Optim. Theory Appl. 91, No. 1, 61--79 (1996; Zbl 0873.90088) Full Text: DOI
Lyle, S.; Szularz, M. Local minima of the trust region problem. (English) Zbl 0797.90096 J. Optimization Theory Appl. 80, No. 1, 117-134 (1994). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Lyle} and \textit{M. Szularz}, J. Optim. Theory Appl. 80, No. 1, 117--134 (1994; Zbl 0797.90096) Full Text: DOI
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Dean, E. J. A model trust-region modification of Newton’s method for nonlinear two- point boundary-value problems. (English) Zbl 0795.49022 J. Optimization Theory Appl. 75, No. 2, 297-312 (1992). MSC: 49M15 49M37 PDFBibTeX XMLCite \textit{E. J. Dean}, J. Optim. Theory Appl. 75, No. 2, 297--312 (1992; Zbl 0795.49022) Full Text: DOI
Ariyawansa, K. A.; Lau, D. T. M. On the updating scheme in a class of collinear scaling algorithms for sparse minimization. (English) Zbl 0792.90062 J. Optimization Theory Appl. 75, No. 1, 183-193 (1992). MSC: 90C30 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{D. T. M. Lau}, J. Optim. Theory Appl. 75, No. 1, 183--193 (1992; Zbl 0792.90062) Full Text: DOI
Zhang, J. Z.; Zhu, D. T. Projected quasi-Newton algorithm with trust region for constrained optimization. (English) Zbl 0696.90050 J. Optimization Theory Appl. 67, No. 2, 369-393 (1990). Reviewer: J.Z.Zhang MSC: 90C30 49M30 65K05 49M15 90-08 PDFBibTeX XMLCite \textit{J. Z. Zhang} and \textit{D. T. Zhu}, J. Optim. Theory Appl. 67, No. 2, 369--393 (1990; Zbl 0696.90050) Full Text: DOI
Womersley, R. S.; Fletcher, R. An algorithm for composite nonsmooth optimization problems. (English) Zbl 0562.90077 J. Optimization Theory Appl. 48, 493-523 (1986). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{R. S. Womersley} and \textit{R. Fletcher}, J. Optim. Theory Appl. 48, 493--523 (1986; Zbl 0562.90077) Full Text: DOI
Bulteau, J. P.; Vial, J. P. A restricted trust region algorithm for unconstrained optimization. (English) Zbl 0556.90075 J. Optimization Theory Appl. 47, 413-435 (1985). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{J. P. Bulteau} and \textit{J. P. Vial}, J. Optim. Theory Appl. 47, 413--435 (1985; Zbl 0556.90075) Full Text: DOI
Grandinetti, L. Some investigations in a new algorithm for nonlinear optimization based on conic models of the objective function. (English) Zbl 0521.49024 J. Optimization Theory Appl. 43, 1-21 (1984). MSC: 49M15 49M37 90C30 65K05 PDFBibTeX XMLCite \textit{L. Grandinetti}, J. Optim. Theory Appl. 43, 1--21 (1984; Zbl 0521.49024) Full Text: DOI
Gabay, D. Minimizing a differentiable function over a differential manifold. (English) Zbl 0458.90060 J. Optimization Theory Appl. 37, 177-219 (1982). MSC: 90C30 90C52 53C20 53C22 PDFBibTeX XMLCite \textit{D. Gabay}, J. Optim. Theory Appl. 37, 177--219 (1982; Zbl 0458.90060) Full Text: DOI