Ladislav Lukšan Ústav informatiky Praha 8 Telefon: (+4202) , Fax: (+4202) luksan@cs.cas.cz

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1 Přehled Publikační činnosti Ladislav Lukšan Ústav informatiky Akademie věd České republiky Pod vodárenskou věží Praha 8 Telefon: (+4202) , Fax: (+4202) luksan@cs.cas.cz Seznam publikací: 1. Lukšan L.: New Combined Method for Unconstrained Minimization. Computing, Vol.28, 1982, pp Lukšan L.: Quasi-Newton Methods without Projections for Unconstrained Minimization. Kybernetika, Vol.18, 1982, No.4, pp Lukšan L.: Quasi-Newton Methods without Projections for Linearly Constrained Minimization. Kybernetika, Vol.18, 1982, No.4, pp Lukšan L.: Variable Metric Method with Limited Storage for Large Scale Unconstrained Minimization. Kybernetika, Vol.18, 1982, No.6, pp Lukšan L.: Variable Metric Methods for Linearly Constrained Nonlinear Minimax Approximation. Computing, Vol.30, 1983, pp Lukšan L.: Dual Method for Solving a Special Problem of Quadratic Programming as a Subproblem at Linearly Constrained Nonlinear Minimax Approximation. Kybernetika 20 (1984) Lukšan L.: A Compact Variable Metric Algorithm for Linearly Constrained Nonlinear Minimax Approximation. Kybernetika, Vol.21, 1985, No.6, pp Lukšan L.: An Implementation of Recursive Quadratic Programming Variable Metric Methods for Linearly Constrained Nonlinear Minimax Approximation. Kybernetika, Vol.21, 1985, No.1, pp Lukšan L.: Variable Metric Methods for a Class of Extended Conic Functions. Kybernetika, Vol.21, 1985, No.2, pp Lukšan L.: A Compact Variable Metric Algorithm for Linear Minimax Approximation. Computing, Vol.36, 1986, pp Lukšan L.: Dual Method for Solving a Special Problem of Quadratic Programming as a Subproblem at Nonlinear Minimax Approximation. Applications of Mathematics, Vol. 31, 1986, pp Lukšan L.: Conjugate Direction Algorithms For Extended Conic Functions. Kybernetika, Vol.22, 1986, No.1, pp Lukšan L.: Conjugate Gradient Algorithms for Conic Functions. Applications of Mathematics, Vol.31, 1986, pp Lukšan L.: Metody s proměnnou metrikou. Nepodmíněná minimalizace. Academia, Praha Lukšan L.: Computational Experience with Improved Variable Metric Methods for Unconstrained Minimization. Kybernetika, Vol.26, 1990, No.5, pp Lukšan L.: A Note on Comparison of Statistical Software for Nonlinear Regression. Computational Statistics Quarterly, Vol.4, 1991, pp

2 17. Lukšan L.: Computational Experience with Improved Conjugate Gradient Methods for Unconstrained Minimization. Kybernetika, Vol.28, 1992, No.4, pp Lukšan L.: Variationally Derived Scaling and Variable Metric Updates from the Preconvex Part of the Broyden Family. Journal of Optimization Theory and Applications, Vol.73, 1992, No.2, pp Lukšan L.: Inexact Trust Region Method for Large Sparse Nonlinear Least Squares. Kybernetika, Vol.29, 1993, No.4, pp Lukšan L.: Inexact Trust Region Method for Large Sparse Systems of Nonlinear Equations. Journal of Optimization Theory and Applications, Vol.81, 1994, No. 3, pp Lukšan L.: Computational Experience With Known Variable Metric Updates. Journal of Optimization Theory and Applications, Vol.83, 1994, No.1, pp Lukšan L., Vlček J.: Parametrická optimalizace dynamických systémů. In: Programy a Algoritmy Numerické Matematiky 7, Bratříkov 1994, pp Lukšan L., Vlček J.: Simple Scaling for Variable Metric Updates. Technical Report V-611. Prague, ICS AS CR Lukšan L., Vlček J.: An Algorithm for Large Sparse Equality Constrained Nonlinear Programming Problems. Proceedings of the 11-th Summer School on Software and Algorithms of Numerical Mathematics. Železná Ruda, 1995, pp Lukšan L.: Efficient Trust Region Method for Nonlinear Least Squares. Kybernetika Vol. 32, 1996, pp Lukšan L.: Combined Trust Region Methods for Nonlinear Least Squares. Kybernetika Vol. 32, 1996, pp Lukšan L., Vlček J.: Optimization of Dynamical Systems. Kybernetika Vol. 32, 1996, pp Lukšan L.: Hybrid Methods for Large Sparse Nonlinear Least Squares. Journal of Optimization Theory and Applications, Vol. 89, 1996, pp Lukšan L., Vlček J.: Algoritmus pro řešení rozsáhlých řídkých ůloh nelineárního programování s omezeními ve tvaru rovností. In: Sborník přednášek letní školy Programy a Algoritmy Numerické Matematiky 8, Janov 1996, pp Lukšan L., Vlček J.: Svazková metoda druhého řádu pro nehladkou nepodmíněnou minimalizaci. In: Sborník přednášek letní školy Programy a Algoritmy Numerické Matematiky 8, Janov 1996, pp Lukšan L., Vlček J.: Globally Convergent Methods with Inexact Jacobians for Systems of Nonlinear Equations. Proceedings of the Prague Mathematical Conference Prague, July 8-12, 1996, pp Lukšan L., Vlček J.: A Bundle-Newton Method for Nonsmooth Unconstrained Minimization. Proceedings of the Prague Mathematical Conference Prague, July 8-12, 1996, pp Lukšan L., Vlček J.: Truncated Trust Region Methods Based on Preconditioned Iterative Subalgorithms for Large Sparse Systems of Nonlinear Equations. Journal of Optimization Theory and Applications, Vol. 95, 1997, No. 3. pp Lukšan L.: Numerical methods for unconstrained optimization. Technical Report DMSIA 97/12, Universita degli Studi di Bergamo, Lukšan L., Vlček J.: Computational Experience with Globally Convergent Descent Methods for Large Sparse Systems of Nonlinear Equations. Optimization Methods and Software, Vol. 8, 1998, pp

3 36. Lukšan L., Vlček J.: Indefinitely Preconditioned Inexact Newton Method for Large Sparse Equality Constrained Nonlinear Programming Problems. Numerical Linear Algebra with Applications, Vol. 5, 1998, pp Lukšan L., Vlček J.: A Bundle-Newton Method for Nonsmooth Unconstrained Minimization. Mathematical Programming, Vol. 83, 1998, pp Lukšan L., Vlček J.: Indefinitní předpodmínění KKT systémů. In: Programy a Algoritmy Numerické Matematiky 9, Kořenov 1998, pp Lukšan L., Vlček J.: Užití metod s proměnnou metrikou pro nehladkou minimalizaci. In: Programy a Algoritmy Numerické Matematiky 9 Kořenov, 1998, pp Lukšan L., Spedicato E.: Variable metric methods for unconstrained optimization. Technical Report DMSIA 98/7, Universita degli Studi di Bergamo, Lukšan L., Vlček J.: Sparse and Partially Separable Test Problems for Unconstrained and Equality Constrained Optimization. Technical Report V-767. Prague, ICS AS CR Makela M.M., Miettinen M., Lukšan L., Vlček J.: Nonsmooth Optimization Methods Applied to Hemivariational Inequalities. Journal of Global Optimization, Vol.14, 1999, pp Lukšan L., Vlček J.: Globally convergent variable metric method for convex nonsmooth unconstrained minimization. Journal of Optimization Theory and Applications Vol.102, 1999, pp Lukšan L., Vlček J.: Conjugate gradient methods for saddle point systems. In: Proceedings of the 13-th Summer School on Software and Algorithms of Numerical Mathematics. Nečtiny, 1999, pp Vlček J., Lukšan L.: Variable metric method for nonconvex nonsmooth unconstrained minimization. In: Proceedings of the 13-th Summer School on Software and Algorithms of Numerical Mathematics. Nečtiny, 1999, pp Lukšan L., Spedicato E.: Variable metric methods for unconstrained optimization and nonlinear least squares. Journal of Computational and Applied Mathematics 124 (2000) Lukšan L., Vlček J.: Test problems for nonsmooth unconstrained and linearly constrained optimization. Technical Report V-798. Prague, ICS AS CR Lukšan L., Vlček J.: Základy nehladké analýzy. Teorie a algoritmy. Technical Report V-808. Prague, ICS AS CR, Lukšan L., Vlček J.: Introduction to nonsmooth analysis. Theory and algorithms. Technical Report DMSIA 00/1 (serie didattica), Universita degli Studi di Bergamo, Lukšan L., Spedicato E.: A globally convergent nonlinear ABS algorithm. Technical Report DMSIA 00/3, Universita degli Studi di Bergamo, Lukšan L., Vlček J.: Metoda vnitřních bodů pro nelineární nekonvexní optimalizaci. In: Sborník přednášek letní školy Programy a Algoritmy Numerické Matematiky 10, Libverda, Lukšan L., Vlček J.: Metoda redukovaných Hessiánů pro nehladkou nepodmíněnou minimalizaci. In: Sborník přednášek letní školy Programy a Algoritmy Numerické Matematiky 10, Libverda, Bodon E., Lukšan L., Spedicato E.: Computational experiments with linear ABS algorithms. Technical Report v-819. Prague, ICS AS CR, Bodon E., Del Popolo A., Lukšan L., Spedicato E.: Computational experiments with ABS algorithms for overdetermined linear systems. Technical Report DMSIA 00/19, Universita degli Studi di Bergamo, Bodon E., Del Popolo A., Lukšan L., Spedicato E.: Computational experiments with ABS algorithms for KKT linear systems. Technical Report DMSIA 00/20, Universita degli Studi di Bergamo, 2000.

4 56. Bodon E., Lukšan L., Spedicato E.: Computational experiments with ABS algorithms for determined and underdetermined linear systems. Technical Report DMSIA 00/21, Universita degli Studi di Bergamo, Lukšan L., Vlček J.: Preconditioning of saddle-point systems. In: Proceedings of the conference SIMONA 2000, Liberec Bodon E., Del Popolo A., Lukšan L., Spedicato E.: Numerical performance of ABS codes for systems of nonlinear equations. Technical Report DMSIA 01/01, Universita degli Studi di Bergamo, Lukšan L., Vlček J.: Algorithm 811: NDA: Algorithms for nondifferentiable optimization. ACM Transactions on Mathematical Software, Vol.27, 2001, pp Vlček J., Lukšan L.: Globally convergent variable metric method for nonconvex nondifferentiable unconstrained minimization. Journal of Optimization Theory and Applications, Vol.111, 2001, pp Bodon E., Del Popolo A., Lukšan L., Spedicato E.: Computational experiments with ABS algorithms for KKT linear systems. Optimization Methods and Software, Vol.16, 2001, pp Lukšan L., Vlček J.: Numerical experience with iterative methods for equality constrained nonlinear programming problems. Optimization Methods and Software, Vol.16, 2001, pp Lukšan L., Vlček J.: Nonsmooth equation method for general nonlinear programming. Proceedings of the Summer School Software and Algorithms of Numerical Mathematics, SANM Kvilda, 8-12 September Bodon E., Lukšan L., Spedicato E.: Computational experiments with conjugate type ABS algorithms. Technical Report DMSIA 01/26, Universita degli Studi di Bergamo, Bodon E., Lukšan L., Spedicato E.: Numerical performance of ABS codes for nonlinear least squares. Technical Report DMSIA 01/27, Universita degli Studi di Bergamo, Lukšan L., Vlček J.: Řešení rozsáhlých řídkých úloh nelineárního programování. In: Sborník přednášek letní školy Programy a Algoritmy Numerické Matematiky 10, Maxov, Vlček J., Lukšan L.: New variable metric methods for unconstrained minimization covering the largescale case. Technical Report v-876. Prague, ICS AS CR, Lukšan L., Vlček J.: Programový systém pro univerzální funkcionální optimalizaci. Sborník konference Aplikace numerických metod v problematice podzemního skladování zemního plynu a v ložiskovém inenýrství. Lázně Libverda, dubna Lukšan L., Vlček J.: Variable metric methods for nonsmooth optimization. In: Numerical Linear Algebra and Optimization (Ya-xiang Yuan ed.), Science Press, Beijing (2003) Lukšan L., Matonoha C., Vlček J.: Interior point methods for large-scale nonlinear programming. Proceedings of the Summer School Numerical Methods for Local and Global Optimization: Sequential and Parallel Algorithms. Cortona, July, Lukšan L., Vlček J.: Discrete minimax approximation with application to filter design. Proceedings of the 2-nd International Workshop on Simulation, Modelling and Numerical Analysis, SIMONA Liberec, 1-3 September Lukšan L., Vlček J.: Shifted variable metric methods for unconstrained optimization. Proceedings of the Summer School Software and Algorithms of Numerical Mathematics, SANM Hejnice, 8-12 September Vlček J., Lukšan L.: New limited variable metric methods for unconstrained optimization. Proceedings of the Summer School Software and Algorithms of Numerical Mathematics, SANM Hejnice, 8-12 September Lukšan L., Vlček J.: Test Problems for Unconstrained Optimization. Technical Report v-897. Prague, ICS AS CR, 2003.

5 75. Lukšan L., Vlček J.: Nonsmooth equation method for nonlinear nonconvex optimization. In: Conjugate Gradient Algorithms and Finite Element Methods (M.Křížek, P.Neittaanmäki, R.Glovinski, S.Korotov eds.). Springer Verlag, Berlin (2004) Lukšan L., Matonoha C., Vlček J.: Interior point method for nonlinear nonconvex optimization. Numerical Linear Algebra with Applications 11 (2004) Vlček J., Lukšan L.: Additional properties of shifted variable metric methods. Technical Report v-899. Prague, ICS AS CR, Lukšan L., Vlček J.: Software system for universal functional optimization. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 6-11 June Vlček J., Lukšan L.: Variationally-derived limited-memory methods for unconstrained optimization. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 6-11 June Lukšan L., Matonoha C., Vlček J.: A shifted Steihaug-Toint method for computing trust-region step. Technical Report V-914. Prague, ICS AS CR, Lukšan L., Vlček J.: Variable Metric Method for Minimization of Partially Separable Nonsmooth Functions. Technical Report V-916. Prague, ICS AS CR Lukšan L., Rozložník M., Tůma M.: Programy pro řešení rovnic chemické rovnováhy. Technical Report V-954. Prague, ICS AS CR Lukšan L., Stuchlý J., Vlček J.: Trust-region interior point method for large sparse inequality constrained optimization. Technical Report V-956, Prague, ICS AS CR, Lukšan L., Matonoha C., Vlček J.: Interior point methods for large-scale nonlinear programming. Optimization Methods and software 20 (2005) Lukšan L., Vlček J.: Variable metric method for a class of large-scale nonsmooth functions. Proceedings of the Summer School Software and Algorithms of Numerical Mathematics, SANM Srni, September Vlček J., Lukšan L.: Shifted limited-memory variable metric methods for large-scale unconstrained minimization. J. of Computational and Applied Mathematics, 186 (2006) Lukšan L., Vlček J.: Variable metric method for minimization of partially separable nonsmooth functions. Pacific Journal on Optimization 2 (2006). 88. Lukšan L., Vlček J.: Efficient methods for large-scale unconstrained optimization. In: Large-scale Nonlinear Optimization (G. Di Pillo and M. Roma, Eds.), Kluwer (2006) Lukšan L., Matonoha C., Vlček J.: Interior-point method for large-scale minimax optimization. Proceedings of the Seminar Numerical Analysis. Moninec, January Lukšan L., Matonoha C., Vlček J.: A Shifted Steihaug-Toint Method for Computing a Trust-Region Step. Proceedings of the Seminar Numerical Analysis. Moninec, January Lukšan L., Matonoha C., Vlček J.: Interior-point method for large-scale l 1 optimization. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Prague, May Lukšan L., Matonoha C., Vlček J.: Interior-point methods for minimization of composite nonsmooth functions. Proceedings of the Seminar Applied Mathematics SAMO 06. Ostravice, September Vlček J., Lukšan L.: New class of limited-memory variationally-derived variable metric methods. Technical Report V-973. Prague, ICS AS CR 2006.

6 94. Lukšan L., Matonoha C., Vlček J.: Interior Point Methods for Minimization of Composite Nonsmooth Functions. Technical Report V-987. Prague, ICS AS CR Lukšan L., Rozložník M., Tůma M.: Programy pro řešení rovnic chemické kinetiky. Technical Report V-988. Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Trust-region interior-point method for large sparse l 1 optimization. Optimization Methods and Software 22 (2007) Lukšan L., Hartman J., Zítko J.: Automatic differentiation and its program realization. Technical Report V-992. Prague, ICS AS CR Lukšan L., Rozložník M., Tůma M. Vlček J.: Optimalizační programy vyvinuté pro řešení úloh chemické rovnováhy a chemické kinetiky. Technical Report TANDEM FT-TA/066. Prague Lukšan L., Matonoha C., Vlček J.: New Subroutines for Large-Scale Optimization. Technical Report V-999. Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Subroutines for Large-Scale Nonlinear Programming. Technical Report V Prague, ICS AS CR Lukšan L., Hartman J.: Implementace automatického derivování v systému UFO. Technical Report V Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Primal interior point method for minimization of generalized minimax functions. Technical Report V Prague, ICS AS CR Vlček J., Lukšan L.: New class of limited-memory variationally-derived variable metric methods. Presented at the GAMM International Workshop Computational Methods with Applications, Harrachov, August 19 25, Lukšan L., Matonoha C., Vlček J.: Trust-region interior point method for large sparse l 1 optimization. Presented at the GAMM International Workshop Computational Methods with Applications, Harrachov, August 19 25, Lukšan L., Matonoha C., Vlček J.: Trust-region interior point methods for large sparse optimization. Presented at the IMA International Conference Numerical Linear Algebra and Optimization, Birmingham, September 13 15, Lukšan L., Matonoha C., Vlček J.: Konvergence nelineární metody sdružených gradientů. Proceedings of the Seminar of Numerical Analysis SNA 08, Liberec, January Lukšan L., Matonoha C., Vlček J.: On Lagrange multipliers of trust-region subproblems. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 1-6 June Lukšan L., Matonoha C., Vlček J.: Primal interior point method for generalized minimax functions. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 1-6 June Vlček J., Lukšan L.: Limited-memory variable metric methods based on invariant matrices. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 1-6 June Lukšan L., Matonoha C., Vlček J.: Metody vnitřních bodů pro nekonvexní úlohy nelineárního programování. Sborník sedmého matematického workshopu. Brno, October Lukšan L., Matonoha C., Vlček J.: On Lagrange multipliers of trust-region subproblems. BIT Numerical Analysis 48 (2008) Matonoha C., Lukšan L., Vlček J.: Interior-point method for nonlinear nonconvex optimization. Presented on 8-th GAMM Workshop, Hamburg, September 2008.

7 113. Matonoha C., Lukšan L., Vlček J.: On Lagrange multipliers of trust-region subproblems. Presented on Applied Linear Algebra in Honor of Ivo Marek conference, Novi Sad, April Vlček J., Lukšan L.: Limited-memory projective variable metric methods for unconstrained minimization. Report V Prague, ICS AS CR Vlček J., Lukšan L.: Transformations enabling to construct limited-memory Broyden class methods. Report V Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Computational experience with modified conjugate gradient methods for unconstrained optimization. Report V-1038, Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Interior point method for nonlinear programming with complementarity constraints. Report V-1039, Prague, ICS AS CR Lukšan L.: Matematické programování. Report V Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Computational experience with modified conjugate gradient methods for unconstrained optimization. Proceedings of the Seminar of Numerical Analysis SNA 09, Ostrava, January Lukšan L., Matonoha C., Vlček J.: Interior point method for nonlinear programming with complementarity constraints. Modelling 2009, Rožnov pod Radhoštěm, June Lukšan L., Matonoha C., Vlček J.: Interior-point Method for Nonlinear Nonconvex Optimization. Modelling 2009, Rožnov pod Radhoštěm, June Vlček J., Lukšan L.: Transformations enabling to construct limited-memory Broyden class methods. Modelling 2009, Rožnov pod Radhoštěm, June Lukšan L., Matonoha C., Vlček J.: Primal interior-point method for large sparse minimax optimization. Kybernetika 45 (2009) Hartman J., Lukšan L., Zítko J.: Automatic differentiation and its program realization. Kybernetika 45 (2009) Lukšan L., Matonoha C., Vlček J.: Algorithm 896: LSA: Algorithms for Large-Scale Optimization. ACM Transactions on Mathematical Software 36 (2009) 16:1-16: Lukšan L., Vlček J.: Recursive formulation of limited memory variable metric methods. Proceedings of the Seminar of Numerical Analysis SNA 10, Nové Hrady, January Lukšan L., Matonoha C., Vlček J.: Primal interior point method for minimization of generalized minimax functions. Kybernetika 46 (2010) Lukšan L., Matonoha C., Vlček J.: Sparse test problems for unconstrained optimization. Technical Report V Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Band preconditioners for the matrix free truncated Newton method. Technical Report V Prague, ICS AS CR Královcová J., Lukšan L., Mlýnek J.: Exposure optimization for warming of shapes in the automotive industry. Technical Report V Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Modified CUTE Problems for Sparse Unconstrained Optimization. Technical Report V Prague, ICS AS CR Lukšan L., Matonoha C., Vlček J.: Robust preconditioners for the matrix free truncated Newton method. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 6-11 June Vlček J., Lukšan L.: Limited-memory variable metric methods that use quantities from the precedings iterations. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 6-11 June 2010.

8 134. Matonoha C., Lukšan L., Vlček J.: Interior-point method for nonlinear programming with complementarity constraints. IMA 2010 Conference, Birmingham, September Lukšan L., Matonoha C., Vlček J.: UFO Software system for universal functional optimization. Presented on the Seminar of Numerical Analysis SNA 11, Rožnov pod Radhoštěm, January Lukšan L., Matonoha C., Vlček J.: Interior-Point Method for Nonlinear Programming with Complementarity Constraints. Presented on the SIAM Conference on Optimization, Darmstadt, May Lukšan L., Vlček J.: Recursive formulation of limited memory variable metric methods. Presented on the SIAM Conference on Optimization, Darmstadt, May Vlček J., Lukšan L.: Modifications of the limited-memory BNS method for better satisfaction of previous quasi-newton conditions. Technical Report V Prague, ICS AS CR Lukšan L.: Numerické optimalizační metody. Technical Report V Prague, ICS AS CR, Královcová J., Lukšan L., Mlýnek J.: Exposure optimization for warming the shapes in the automotive industry. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 3-8 June Vlček J., Lukšan L.: Modifications of the limited-memory BFGS method based on the idea of conjugate directions. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 3-8 June Vlček J., Lukšan L.: A conjugate directions approach to improve the limited-memory BFGS method. Applied Mathematics and Computation 219 (2012) Vlček J., Lukšan L.: Generalizations of the limited-memory BFGS method based on quasi-product form of update. Computational and Applied Mathematics Journal of Computational and Applied Mathematics 241 (2013) Lukšan L., Vlček J.: Recursive form of general limited memory variable metric methods. Kybernetika 49 (2013) Lukšan L., Vlček J.: Efficient tridiagonal preconditioner for the matrix-free truncated Newton method. SNA 14, Nymburk, January Lukšan L., Vlček J.: Efficient tridiagonal preconditioner for the matrix-free truncated Newton method. Applied Mathematics and Computation 235 (2014) Lukšan L., Vlček J.: Nonlinear conjugate gradient methods. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 8-13 June Vlček J., Lukšan L.: A modified limited-memory BNS method for unconstrained minimization derived from the conjugate directions idea. Proceedings of the conference Programs and Algorithms of Numerical Mathematics PANM Hotel Maxov, 8-13 June Lukšan L., Tůma M., Vlček J., Ramešová N., Šiška M., Hartman J., Matonoha C.: UFO Interactive System for Universal Functional Optimization. Technical Report V Prague, ICS AS CR Lukšan L., Vlček J.: On variable metric methods for unconstrained minimization. SNA 15, Ostrava, January Vlček J., Lukšan L.: A modified limited-memory BNS method for unconstrained minimization based on the conjugate directions idea. Optimization Methods and Software 30 (2015)