Vlček, Jan; Lukšan, Ladislav Application of the infinitely many times repeated BNS update and conjugate directions to limited-memory optimization methods. (English) Zbl 1463.65156 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 177-185 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 65K10 90C53 49M15 90C06 PDFBibTeX XMLCite \textit{J. Vlček} and \textit{L. Lukšan}, in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 177--185 (2019; Zbl 1463.65156) Full Text: DOI
Vlček, Jan; Lukšan, Ladislav Properties of the block BFGS update and its application to the limited-memory block BNS method for unconstrained minimization. (English) Zbl 1440.90076 Numer. Algorithms 80, No. 3, 957-987 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 90C30 65K10 49M15 90C53 PDFBibTeX XMLCite \textit{J. Vlček} and \textit{L. Lukšan}, Numer. Algorithms 80, No. 3, 957--987 (2019; Zbl 1440.90076) Full Text: DOI
Vlček, Jan; Lukšan, Ladislav A limited-memory optimization method using the infinitely many times repeated BNS update and conjugate directions. (English) Zbl 1440.65064 J. Comput. Appl. Math. 351, 14-28 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 65K05 90C30 90C06 PDFBibTeX XMLCite \textit{J. Vlček} and \textit{L. Lukšan}, J. Comput. Appl. Math. 351, 14--28 (2019; Zbl 1440.65064) Full Text: DOI
Vlček, Jan; Lukšan, Ladislav A generalized limited-memory BNS method based on the block BFGS update. (English) Zbl 1413.65251 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 18. Proceedings of the 18th seminar (PANM), Janov nad Nisou, Czech Republic, June 19–24, 2016. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 164-171 (2017). Reviewer: Ctirad Matonoha (Prague) MSC: 65K10 49M15 90C06 PDFBibTeX XMLCite \textit{J. Vlček} and \textit{L. Lukšan}, in: Programs and algorithms of numerical mathematics 18. Proceedings of the 18th seminar (PANM), Janov nad Nisou, Czech Republic, June 19--24, 2016. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 164--171 (2017; Zbl 1413.65251) Full Text: DOI
Vlček, Jan; Lukšan, Ladislav A modified limited-memory BNS method for unconstrained minimization derived from the conjugate directions idea. (English) Zbl 1374.90288 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 17. Proceedings of the 17th seminar (PANM), Dolní Maxov, Czech Republic, June 8–13, 2014. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-64-6). 237-243 (2015). Reviewer: Pospíšil, Lukáš (Ostrava) MSC: 90C06 90C53 65K05 65Y20 PDFBibTeX XMLCite \textit{J. Vlček} and \textit{L. Lukšan}, in: Programs and algorithms of numerical mathematics 17. Proceedings of the 17th seminar (PANM), Dolní Maxov, Czech Republic, June 8--13, 2014. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 237--243 (2015; Zbl 1374.90288) Full Text: Link
Lukšan, Ladislav; Vlček, Jan Efficient tridiagonal preconditioner for the matrix-free truncated Newton method. (English) Zbl 1334.65113 Appl. Math. Comput. 235, 394-407 (2014). MSC: 65K10 65F08 65H10 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{J. Vlček}, Appl. Math. Comput. 235, 394--407 (2014; Zbl 1334.65113) Full Text: DOI
Lukšan, Ladislav; Vlček, Jan Recursive form of general limited memory variable metric methods. (English) Zbl 1266.49060 Kybernetika 49, No. 2, 224-235 (2013). MSC: 49M30 49K35 90C06 90C47 90C51 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{J. Vlček}, Kybernetika 49, No. 2, 224--235 (2013; Zbl 1266.49060) Full Text: Link
Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan Primal interior point method for minimization of generalized minimax functions. (English) Zbl 1204.49022 Kybernetika 46, No. 4, 697-721 (2010). MSC: 49K35 90C06 90C47 90C51 PDFBibTeX XMLCite \textit{L. Lukšan} et al., Kybernetika 46, No. 4, 697--721 (2010; Zbl 1204.49022) Full Text: EuDML Link
Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan Algorithm 896: LSA: algorithms for large-scale optimization. (English) Zbl 1364.65128 ACM Trans. Math. Softw. 36, No. 3, Article No. 16, 29 p. (2009). MSC: 65K10 65H10 65Y15 90C06 PDFBibTeX XMLCite \textit{L. Lukšan} et al., ACM Trans. Math. Softw. 36, No. 3, Article No. 16, 29 p. (2009; Zbl 1364.65128) Full Text: DOI
Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan Primal interior-point method for large sparse minimax optimization. (English) Zbl 1198.90394 Kybernetika 45, No. 5, 841-864 (2009). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 90C51 90C47 90C06 49K35 PDFBibTeX XMLCite \textit{L. Lukšan} et al., Kybernetika 45, No. 5, 841--864 (2009; Zbl 1198.90394) Full Text: EuDML Link
Lukšan, L.; Matonoha, C.; Vlček, J. Trust-region interior-point method for large sparse \(l_{1}\) optimization. (English) Zbl 1193.90197 Optim. Methods Softw. 22, No. 5, 737-753 (2007). MSC: 90C30 90C51 90C06 49M37 65K05 PDFBibTeX XMLCite \textit{L. Lukšan} et al., Optim. Methods Softw. 22, No. 5, 737--753 (2007; Zbl 1193.90197) Full Text: DOI
Lukšan, Ladislav; Vlček, Jan Efficient methods for large-scale unconstrained optimization. (English) Zbl 1108.90029 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, 185-210 (2006). MSC: 90C06 90C47 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{J. Vlček}, Nonconvex Optim. Appl. 83, 185--210 (2006; Zbl 1108.90029)
Lukšan, Ladislav; Vlček, Jan Variable metrid method for minimization of partially separable nonsmooth functions. (English) Zbl 1147.65316 Pac. J. Optim. 2, No. 1, 59-70 (2006). MSC: 65K05 90C30 90C06 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{J. Vlček}, Pac. J. Optim. 2, No. 1, 59--70 (2006; Zbl 1147.65316)
Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan Nonsmooth equation method for nonlinear nonconvex optimization. (English) Zbl 1072.65082 Křižek, Michal (ed.) et al., Conjugate gradient algorithms and finite element methods. Berlin: Springer (ISBN 3-540-21319-8/hbk). Scientific Computation, 131-145 (2004). Reviewer: Silvia Curteanu (Iaşi) MSC: 65K05 90C26 90C30 90C06 PDFBibTeX XMLCite \textit{L. Lukšan} et al., in: Conjugate gradient algorithms and finite element methods. Berlin: Springer. 131--145 (2004; Zbl 1072.65082)