Brás, C. P.; Martínez, J. M.; Raydan, M. Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. (English) Zbl 1432.90119 Comput. Optim. Appl. 75, No. 1, 169-205 (2020). MSC: 90C26 65K10 90C06 PDFBibTeX XMLCite \textit{C. P. Brás} et al., Comput. Optim. Appl. 75, No. 1, 169--205 (2020; Zbl 1432.90119) Full Text: DOI Link
Birgin, E. G.; Martínez, J. M. A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. (English) Zbl 1422.90070 Comput. Optim. Appl. 73, No. 3, 707-753 (2019). MSC: 90C53 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 73, No. 3, 707--753 (2019; Zbl 1422.90070) Full Text: DOI
Gomes, F. M.; Martínez, J. M.; Raydan, M. On the computation of large-scale self-consistent-field iterations. (English) Zbl 1392.65094 J. Math. Chem. 55, No. 5, 1158-1172 (2017). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{F. M. Gomes} et al., J. Math. Chem. 55, No. 5, 1158--1172 (2017; Zbl 1392.65094) Full Text: DOI
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
Martínez, J. M.; Raydan, M. Separable cubic modeling and a trust-region strategy for unconstrained minimization with impact in global optimization. (English) Zbl 1353.90147 J. Glob. Optim. 63, No. 2, 319-342 (2015). MSC: 90C30 PDFBibTeX XMLCite \textit{J. M. Martínez} and \textit{M. Raydan}, J. Glob. Optim. 63, No. 2, 319--342 (2015; Zbl 1353.90147) Full Text: DOI
Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. Second-order negative-curvature methods for box-constrained and general constrained optimization. (English) Zbl 1187.90265 Comput. Optim. Appl. 45, No. 2, 209-236 (2010). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{R. Andreani} et al., Comput. Optim. Appl. 45, No. 2, 209--236 (2010; Zbl 1187.90265) Full Text: DOI Link
Francisco, Juliano B.; Martínez, José Mario; Martínez, Leandro Density-based globally convergent trust-region methods for self-consistent field electronic structure calculations. (English) Zbl 1110.92069 J. Math. Chem. 40, No. 4, 349-377 (2006). MSC: 92E99 65K10 92E10 PDFBibTeX XMLCite \textit{J. B. Francisco} et al., J. Math. Chem. 40, No. 4, 349--377 (2006; Zbl 1110.92069) Full Text: DOI
Marina, Andretta; Birgin, Ernesto G.; Martínez, José Mario Practical active-set Euclidian trust-region method with spectral projected gradients for bound-constrained minimization. (English) Zbl 1079.65070 Optimization 54, No. 3, 305-325 (2005). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. Marina} et al., Optimization 54, No. 3, 305--325 (2005; Zbl 1079.65070) Full Text: DOI
Friedlander, Ana; Gomes-Ruggiero, Márcia A.; Kozakevich, Daniel N.; Martínez, José Mario; Santos, Sandra Augusta Solving nonlinear systems of equations by means of quasi-Newton methods with a nonmonotone strategy. (English) Zbl 0893.65032 Optim. Methods Softw. 8, No. 1, 25-51 (1997). Reviewer: V.Berinde (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{A. Friedlander} et al., Optim. Methods Softw. 8, No. 1, 25--51 (1997; Zbl 0893.65032) Full Text: DOI
Gomes-Ruggiero, M. A.; Kozakevich, D. N.; Martínez, J. M. A numerical study on large-scale nonlinear solvers. (English) Zbl 0857.65059 Comput. Math. Appl. 32, No. 3, 1-13 (1996). MSC: 65H10 PDFBibTeX XMLCite \textit{M. A. Gomes-Ruggiero} et al., Comput. Math. Appl. 32, No. 3, 1--13 (1996; Zbl 0857.65059) Full Text: DOI
Martínez, José Mario; Santos, Sandra Augusta A trust-region strategy for minimization on arbitrary domains. (English) Zbl 0835.90092 Math. Program. 68, No. 3 (A), 267-301 (1995). MSC: 90C30 90-08 PDFBibTeX XMLCite \textit{J. M. Martínez} and \textit{S. A. Santos}, Math. Program. 68, No. 3 (A), 267--301 (1995; Zbl 0835.90092) Full Text: DOI
Friedlander, A.; Martínez, J. M.; Santos, S. A. A new trust region algorithm for bound constrained minimization. (English) Zbl 0821.90101 Appl. Math. Optimization 30, No. 3, 235-266 (1994). MSC: 90C30 65K05 90-08 PDFBibTeX XMLCite \textit{A. Friedlander} et al., Appl. Math. Optim. 30, No. 3, 235--266 (1994; Zbl 0821.90101) Full Text: DOI