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Author: Lukšan, Ladislav

• Vlček, Jan; Lukšan, Ladislav: Application of the infinitely many times repeated BNS update and conjugate directions to limited-memory optimization methods. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 177-185
• Lukšan, Ladislav; Vlček, Jan: A hybrid method for nonlinear least squares that uses quasi-Newton updates applied to an approximation of the Jacobian matrix. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 99-106
• Lukšan, Ladislav; Vlček, Jan: New quasi-Newton method for solving systems of nonlinear equations. (English). Applications of Mathematics, vol. 62 (2017), issue 2, pp. 121-134
• Vlček, Jan; Lukšan, Ladislav: A generalized limited-memory BNS method based on the block BFGS update. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 164-171
• Vlček, Jan; Lukšan, Ladislav: A modified limited-memory BNS method for unconstrained minimization derived from the conjugate directions idea. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 237-243
• Lukšan, Ladislav; Vlček, Jan: Nonlinear conjugate gradient methods. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 130-135
• Lukšan, Ladislav; Vlček, Jan: Recursive form of general limited memory variable metric methods. (English). Kybernetika, vol. 49 (2013), issue 2, pp. 224-235
• Královcová, Jiřina; Lukšan, Ladislav; Mlýnek, Jaroslav: Heat exposure optimization applied to moulding process in the automotive industry. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 118-123
• Vlček, Jan; Lukšan, Ladislav: Modifications of the limited-memory BFGS method based on the idea of conjugate directions. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 209-214
• Vlček, Jan; Lukšan, Ladislav: Limited-memory variable metric methods that use quantities from the preceding iteration. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 227-232
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: Primal interior point method for minimization of generalized minimax functions. (English). Kybernetika, vol. 46 (2010), issue 4, pp. 697-721
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: Robust preconditioners for the matrix free truncated Newton method. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 137-151
• Hartman, Jan; Lukšan, Ladislav; Zítko, Jan: Automatic differentiation and its program realization. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 865-883
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: Primal interior-point method for large sparse minimax optimization. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 841-864
• Vlček, Jan; Lukšan, Ladislav: Limited-memory variable metric methods based on invariant matrices. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 226-232
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: On Lagrange multipliers of trust-region subproblems. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 130-137
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: Primal interior point method for generalized minimax functions. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 138-149
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: Interior-point method for large-scale $l_1$ optimization. (English). In: Chleboun, J., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Prague, May 28-31, 2006. Institute of Mathematics AS CR, Prague, 2006. pp. 190-195
• Lukšan, Ladislav; Vlček, Jan: Software system for universal functional optimization. (English). In: Chleboun, J., Přikryl, P. and Segeth, K. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2004. Institute of Mathematics AS CR, Prague, 2004. pp. 155-161
• Vlček, Jan; Lukšan, Ladislav: Variationally-derived limited-memory methods for unconstrained optimization. (English). In: Chleboun, J., Přikryl, P. and Segeth, K. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2004. Institute of Mathematics AS CR, Prague, 2004. pp. 273-278
• Lukšan, Ladislav: Combined trust region methods for nonlinear least squares. (English). Kybernetika, vol. 32 (1996), issue 2, pp. 121-138
• Lukšan, Ladislav: Efficient trust region method for nonlinear least squares. (English). Kybernetika, vol. 32 (1996), issue 2, pp. 105-120
• Lukšan, Ladislav; Vlček, Jan: Optimization of dynamical systems. (English). Kybernetika, vol. 32 (1996), issue 5, pp. 465-482
• Lukšan, Ladislav: Inexact trust region method for large sparse nonlinear least squares. (English). Kybernetika, vol. 29 (1993), issue 4, pp. 305-324
• Lukšan, Ladislav: Computational experience with improved conjugate gradient methods for unconstrained minimization. (English). Kybernetika, vol. 28 (1992), issue 4, pp. 249-262
• Lukšan, Ladislav: Computational experience with improved variable metric methods for unconstrained minimization. (English). Kybernetika, vol. 26 (1990), issue 5, pp. 415-431
• Lukšan, Ladislav: Conjugate direction algorithms for extended conic functions. (English). Kybernetika, vol. 22 (1986), issue 1, pp. 31-46
• Lukšan, Ladislav: Conjugate gradient algorithms for conic functions. (English). Aplikace matematiky, vol. 31 (1986), issue 6, pp. 427-440
• Lukšan, Ladislav: Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation. (English). Aplikace matematiky, vol. 31 (1986), issue 5, pp. 379-395
• Lukšan, Ladislav: A compact variable metric algorithm for linearly constrained nonlinear minimax approximation. (English). Kybernetika, vol. 21 (1985), issue 6, pp. 405-427
• Lukšan, Ladislav: An implementation of recursive quadratic programming variable metric methods for linearly constrained nonlinear minimax approximation. (English). Kybernetika, vol. 21 (1985), issue 1, pp. 22-40
• Lukšan, Ladislav: Variable metric methods for a class of extended conic functions. (English). Kybernetika, vol. 21 (1985), issue 2, pp. 96-107
• Lukšan, Ladislav: Dual method for solving a special problem of quadratic programming as a subproblem at linearly constrained nonlinear minimax approximation. (English). Kybernetika, vol. 20 (1984), issue 6, pp. 445-457
• Lukšan, Ladislav: Quasi-Newton methods without projections for linearly constrained minimization. (English). Kybernetika, vol. 18 (1982), issue 4, pp. 307-319
• Lukšan, Ladislav: Quasi-Newton methods without projections for unconstrained minimization. (English). Kybernetika, vol. 18 (1982), issue 4, pp. 290-306
• Lukšan, Ladislav: Variable metric method with limited storage for large-scale unconstrained minimization. (English). Kybernetika, vol. 18 (1982), issue 6, pp. 517-528