Shi, Hao-Jun Michael; Qiming Xuan, Melody; Oztoprak, Figen; Nocedal, Jorge On the numerical performance of finite-difference-based methods for derivative-free optimization. (English) Zbl 1515.90134 Optim. Methods Softw. 38, No. 2, 289-311 (2023). MSC: 90C30 90C56 90C55 90C53 PDFBibTeX XMLCite \textit{H.-J. M. Shi} et al., Optim. Methods Softw. 38, No. 2, 289--311 (2023; Zbl 1515.90134) Full Text: DOI arXiv
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge Adaptive sampling strategies for stochastic optimization. (English) Zbl 1461.65131 SIAM J. Optim. 28, No. 4, 3312-3343 (2018). MSC: 65K05 90C06 90C15 90C55 68T05 PDFBibTeX XMLCite \textit{R. Bollapragada} et al., SIAM J. Optim. 28, No. 4, 3312--3343 (2018; Zbl 1461.65131) Full Text: DOI arXiv
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen A family of second-order methods for convex \(\ell _1\)-regularized optimization. (English) Zbl 1350.49046 Math. Program. 159, No. 1-2 (A), 435-467 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 49M37 49M15 90C25 90C30 65K05 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 159, No. 1--2 (A), 435--467 (2016; Zbl 1350.49046) Full Text: DOI
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen An inexact successive quadratic approximation method for L-1 regularized optimization. (English) Zbl 1342.49037 Math. Program. 157, No. 2 (B), 375-396 (2016). MSC: 49M15 90C53 90C55 65K05 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 157, No. 2 (B), 375--396 (2016; Zbl 1342.49037) Full Text: DOI arXiv
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y. A stochastic quasi-Newton method for large-scale optimization. (English) Zbl 1382.65166 SIAM J. Optim. 26, No. 2, 1008-1031 (2016). MSC: 65K05 90C06 90C30 90C53 90C55 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., SIAM J. Optim. 26, No. 2, 1008--1031 (2016; Zbl 1382.65166) Full Text: DOI arXiv
Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H. An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. (English) Zbl 1328.90097 Optim. Methods Softw. 30, No. 6, 1213-1237 (2015). MSC: 90C20 90C25 90C30 65K05 PDFBibTeX XMLCite \textit{S. Solntsev} et al., Optim. Methods Softw. 30, No. 6, 1213--1237 (2015; Zbl 1328.90097) Full Text: DOI arXiv
Robinson, Daniel P.; Feng, Liming; Nocedal, Jorge M.; Pang, Jong-Shi Subspace accelerated matrix splitting algorithms for asymmetric and symmetric linear complementarity problems. (English) Zbl 1291.49023 SIAM J. Optim. 23, No. 3, 1371-1397 (2013). Reviewer: Ctirad Matonoha (Prague) MSC: 49M37 65K05 90C33 90C20 49M05 49M15 91G60 PDFBibTeX XMLCite \textit{D. P. Robinson} et al., SIAM J. Optim. 23, No. 3, 1371--1397 (2013; Zbl 1291.49023) Full Text: DOI Link
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen On the use of piecewise linear models in nonlinear programming. (English) Zbl 1260.49059 Math. Program. 137, No. 1-2 (A), 289-324 (2013). MSC: 49M37 65K05 90C06 90C30 90C55 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 137, No. 1--2 (A), 289--324 (2013; Zbl 1260.49059) Full Text: DOI
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge A line search exact penalty method using steering rules. (English) Zbl 1254.90221 Math. Program. 133, No. 1-2 (A), 39-73 (2012). Reviewer: Gerhard-Wilhelm Weber; Erik Kropat MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 133, No. 1--2 (A), 39--73 (2012; Zbl 1254.90221) Full Text: DOI
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen A sequential quadratic programming algorithm with an additional equality constrained phase. (English) Zbl 1246.65093 IMA J. Numer. Anal. 32, No. 2, 553-579 (2012). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{J. L. Morales} et al., IMA J. Numer. Anal. 32, No. 2, 553--579 (2012; Zbl 1246.65093) Full Text: DOI
Byrd, Richard H.; Chin, Gillian M.; Neveitt, Will; Nocedal, Jorge On the use of stochastic Hessian information in optimization methods for machine learning. (English) Zbl 1245.65062 SIAM J. Optim. 21, No. 3, 977-995 (2011). Reviewer: Akrur Behera (Rourkela) MSC: 65K05 68T05 90C06 90C30 90C55 90C15 68T10 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., SIAM J. Optim. 21, No. 3, 977--995 (2011; Zbl 1245.65062) Full Text: DOI
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge Infeasibility detection and SQP methods for nonlinear optimization. (English) Zbl 1211.90179 SIAM J. Optim. 20, No. 5, 2281-2299 (2010). MSC: 90C26 90C30 90C55 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., SIAM J. Optim. 20, No. 5, 2281--2299 (2010; Zbl 1211.90179) Full Text: DOI
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge An inexact SQP method for equality constrained optimization. (English) Zbl 1158.49035 SIAM J. Optim. 19, No. 1, 351-369 (2008). MSC: 49M37 65K05 90C06 90C30 90C55 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., SIAM J. Optim. 19, No. 1, 351--369 (2008; Zbl 1158.49035) Full Text: DOI
Curtis, Frank E.; Nocedal, Jorge Flexible penalty functions for nonlinear constrained optimization. (English) Zbl 1156.65058 IMA J. Numer. Anal. 28, No. 4, 749-769 (2008). MSC: 65K05 90C55 90C30 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{J. Nocedal}, IMA J. Numer. Anal. 28, No. 4, 749--769 (2008; Zbl 1156.65058) Full Text: DOI
Curtis, Frank; Nocedal, Jorge Steplength selection in interior-point methods for quadratic programming. (English) Zbl 1161.90452 Appl. Math. Lett. 20, No. 5, 516-523 (2007). MSC: 90C20 90C51 PDFBibTeX XMLCite \textit{F. Curtis} and \textit{J. Nocedal}, Appl. Math. Lett. 20, No. 5, 516--523 (2007; Zbl 1161.90452) Full Text: DOI
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. KNITRO: an integrated package for nonlinear optimization. (English) Zbl 1108.90004 Di Pillo, Gianni (ed.) et al., Large-scale nonlinear optimization. Papers based on the presentation at the workshop on large scale nonlinear optimization, Erice, Italy, June 22–July 1, 2004. New York, NY: Springer (ISBN 0-387-30063-5/hbk). Nonconvex Optimization and Its Applications 83, 35-59 (2006). MSC: 90-08 90C30 90C06 90C20 90C51 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Nonconvex Optim. Appl. 83, 35--59 (2006; Zbl 1108.90004)
Nocedal, Jorge; Wright, Stephen J. Numerical optimization. 2nd ed. (English) Zbl 1104.65059 Springer Series in Operations Research and Financial Engineering. New York, NY: Springer (ISBN 0-387-30303-0/hbk). xxii, 664 p. (2006). Reviewer: Neculai Curteanu (Iaşi) MSC: 65K05 65-02 90C06 90C30 90C55 90C05 90C20 90C51 90C56 PDFBibTeX XMLCite \textit{J. Nocedal} and \textit{S. J. Wright}, Numerical optimization. 2nd ed. New York, NY: Springer (2006; Zbl 1104.65059)
Waltz, R. A.; Morales, J. L.; Nocedal, J.; Orban, D. An interior algorithm for nonlinear optimization that combines line search and trust region steps. (English) Zbl 1134.90053 Math. Program. 107, No. 3 (A), 391-408 (2006). MSC: 90C55 90C30 90C51 PDFBibTeX XMLCite \textit{R. A. Waltz} et al., Math. Program. 107, No. 3 (A), 391--408 (2006; Zbl 1134.90053) Full Text: DOI
Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. On the convergence of successive linear-quadratic programming algorithms. (English) Zbl 1092.90061 SIAM J. Optim. 16, No. 2, 471-489 (2005). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C55 90C30 65K05 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., SIAM J. Optim. 16, No. 2, 471--489 (2005; Zbl 1092.90061) Full Text: DOI
Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. (English) Zbl 1146.90513 Math. Program. 100, No. 1 (B), 27-48 (2004). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 100, No. 1 (B), 27--48 (2004; Zbl 1146.90513) Full Text: DOI
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge On the convergence of Newton iterations to non-stationary points. (English) Zbl 1072.90038 Math. Program. 99, No. 1 (A), 127-148 (2004). Reviewer: Christian Grossmann (Dresden) MSC: 90C30 90C51 65H10 90C55 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 99, No. 1 (A), 127--148 (2004; Zbl 1072.90038) Full Text: DOI
Morales, José Luis; Nocedal, Jorge; Waltz, Richard A.; Liu, Guanghui; Goux, Jean-Pierre Assessing the potential of interior methods for nonlinear optimization. (English) Zbl 1062.65063 Biegler, Lorenz T. (ed.) et al., Large-scale PDE-constrained optimization. Berlin: Springer (ISBN 3-540-05045-0/pbk). Lect. Notes Comput. Sci. Eng. 30, 167-183 (2003). MSC: 65K05 90C30 90C51 90C55 PDFBibTeX XMLCite \textit{J. L. Morales} et al., Lect. Notes Comput. Sci. Eng. 30, 167--183 (2003; Zbl 1062.65063)
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. Feasible interior methods using slacks for nonlinear optimization. (English) Zbl 1053.90119 Comput. Optim. Appl. 26, No. 1, 35-61 (2003). MSC: 90C30 90C51 90C55 49M30 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Comput. Optim. Appl. 26, No. 1, 35--61 (2003; Zbl 1053.90119) Full Text: DOI
Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge On the solution of equality constrained quadratic programming problems arising in optimization. (English) Zbl 0999.65050 SIAM J. Sci. Comput. 23, No. 4, 1376-1395 (2001). MSC: 65K05 90C55 65F35 90C06 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., SIAM J. Sci. Comput. 23, No. 4, 1376--1395 (2001; Zbl 0999.65050) Full Text: DOI
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge A trust region method based on interior point techniques for nonlinear programming. (English) Zbl 1033.90152 Math. Program. 89, No. 1 (A), 149-185 (2000). MSC: 90C51 90C30 90C56 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 89, No. 1 (A), 149--185 (2000; Zbl 1033.90152) Full Text: DOI
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David Numerical experience with a reduced Hessian method for large scale constrained optimization. (English) Zbl 0942.90025 Comput. Optim. Appl. 15, No. 1, 45-67 (2000). MSC: 90C06 65K05 90C55 90C53 PDFBibTeX XMLCite \textit{L. T. Biegler} et al., Comput. Optim. Appl. 15, No. 1, 45--67 (2000; Zbl 0942.90025) Full Text: DOI
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge An interior point algorithm for large-scale nonlinear programming. (English) Zbl 0957.65057 SIAM J. Optim. 9, No. 4, 877-900 (1999). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C55 90C06 90C51 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., SIAM J. Optim. 9, No. 4, 877--900 (1999; Zbl 0957.65057) Full Text: DOI
Nocedal, Jorge; Wright, Stephen J. Numerical optimization. (English) Zbl 0930.65067 Springer Series in Operations Research. New York, NY: Springer. xx, 636 p. (1999). Reviewer: N.Curteanu (Iaşi) MSC: 65K05 65-02 90C06 90C30 90C55 90C53 90C51 65Kxx PDFBibTeX XMLCite \textit{J. Nocedal} and \textit{S. J. Wright}, Numerical optimization. New York, NY: Springer (1999; Zbl 0930.65067) Full Text: DOI
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia A reduced Hessian method for large-scale constrained optimization. (English) Zbl 0828.65061 SIAM J. Optim. 5, No. 2, 314-347 (1995). Reviewer: F.Luban (Bucureşti) MSC: 65K05 90C30 90C06 PDFBibTeX XMLCite \textit{L. T. Biegler} et al., SIAM J. Optim. 5, No. 2, 314--347 (1995; Zbl 0828.65061) Full Text: DOI
Byrd, Richard H.; Nocedal, Jorge An analysis of reduced Hessian methods for constrained optimization. (English) Zbl 0719.90071 Math. Program., Ser. A 49, No. 3, 285-323 (1991). MSC: 90C30 49M15 65K05 49M30 90-08 90C20 PDFBibTeX XMLCite \textit{R. H. Byrd} and \textit{J. Nocedal}, Math. Program. 49, No. 3 (A), 285--323 (1991; Zbl 0719.90071) Full Text: DOI
Nazareth, Larry; Nocedal, Jorge Conjugate direction methods with variable storage. (English) Zbl 0482.90078 Math. Program. 23, 326-340 (1982). MSC: 90C30 90C20 65K05 PDFBibTeX XMLCite \textit{L. Nazareth} and \textit{J. Nocedal}, Math. Program. 23, 326--340 (1982; Zbl 0482.90078) Full Text: DOI