Research Reports:

• V1296-11: Ladislav Luksan:
  Numericke optimalizacni metody.
  Tech. Rep. V-1296, ICS AS CR, April 2024

• V1290-20: Jan Vlcek, Ladislav Luksan:
  Some modifications of the limited-memory variable metric optimization methods.
  Tech. Rep. V-1290, ICS AS CR, january 2023

• V1289-22: Ladislav Luksan, Miroslav Tuma, Ctirad Matonoha,
  Jan Vlcek, Nina Ramesova, Martin Siska, Jan Hartman:
  UFO 2022 - Interactive system for universal functional optimization.
  Tech. Rep. V-1289, ICS AS CR, November 2022

• V1280-20: Jan Vlcek, Ladislav Luksan:
  Two limited-memory optimization methods with minimum violation
  of the previous quasi-Newton equations.
  Tech. Rep. V-1280, ICS AS CR, August 2020

• V1259-18: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Problems for nonlionear least squares and nonlinear equations.
  Tech. Rep. V-1259, ICS AS CR, January 2018

• V1258-18: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Sparse test problems for nonlinear least squares.
  Tech. Rep. V-1258, ICS AS CR, September 2018

• V1255-18: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Numerical solution of generalized minimax problems.
  Tech. Rep. V-1255, ICS AS CR, January 2018

• V1246-19: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Hybrid methods for nonlinear least squares problems.
  Tech. Rep. V-1246, ICS AS CR, May 2019

• V1245-18: Jan Vlcek, Ladislav Luksan:
  A limited-memory optimization method using the infinitely many
  times repeated BNS update and conjugate directions.
  Tech. Rep. V-1245, ICS AS CR, March 2018

• V1233-16 Ladislav Luksan, Jan Vlcek:
  New quasi-Newton method for solving systems of nonlinear equations.
  Tech. Rep. V-1233, ICS AS CR, September 2016

• V1232-16: Jan Vlcek, Ladislav Luksan:
  A block version of the BNS limited-memory variable metric method
  for unconstrained minimization.
  Tech. Rep. V-1232, ICS AS CR, August 2016

• V1203-14: Jan Vlcek, Ladislav Luksan:
  A modified limited-memory BNS method for unconstrained
  minimization based on the conjugate directions idea.
  Tech. Rep. V-1203, ICS AS CR, March 2014

• V1177-13: Ladislav Luksan, Jan Vlcek:
  Efficient tridiagonal preconditioner for the matrix-free
  truncated Newton method.
  Tech. Rep. V-1177, ICS AS CR, January 2013

• V1127-11: Jan Vlcek, Ladislav Luksan:
  Modifications of the limited-memory BNS method for better satisfaction
  of previous quasi-Newton conditions.
  Tech. Rep. V-1127, ICS AS CR, December 2011

• V1120-11: Jan Vlcek, Ladislav Luksan:
  A conjugate directions approach to improve the limited-memory BFGS
  method.
  Tech. Rep. V-1120, ICS AS CR, August 2011

• V1081-10: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Modified CUTE Problems for Sparse Unconstrained Optimization.
  Tech. Rep. V-1081, ICS AS CR, October 2010

• V1080-10: Jirina Kralovcova, Ladislav Luksan, Jaroslav Mlynek:
  Exposure optimization for warming shapes in the automotive industry.
  Tech. Rep. V-1080, ICS AS CR, September 2010

• V1079-10: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Band preconditioners for the matrix free truncated Newton method.
  Tech. Rep. V-1079, ICS AS CR, September 2010

• V1064-10: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Sparse test problems for unconstrained optimization.
  Tech. Rep. V-1064, ICS AS CR, January 2010

• V1060-09: Jan Vlcek, Ladislav Luksan:
  Generalizations of the limited-memory BFGS method based on
  quasi-product form of update constraints.
  Tech. Rep. V-1060, ICS AS CR, December 2009

• V1059-10: Ladislav Luksan, Jan Vlcek:
  Recursive formulation of limited memory variable metric methods.
  Tech. Rep. V-1059, ICS AS CR, September 2010

• V1039-08: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Interior-point method for nonlinear programming with
  complementarity constraints.
  Tech. Rep. V-1039, ICS AS CR, December 2008

• V1038-08: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Computational experience with modified conjugate gradient
  methods for unconstrained optimization.
  Tech. Rep. V-1038, ICS AS CR, December 2008

• V1037-07: Jan Vlcek, Ladislav Luksan:
  Transformations enabling to construct limited-memory Broyden class methods.
  Tech. Rep. V-1037, ICS AS CR, December 2008

• V1036-07: Jan Vlcek, Ladislav Luksan:
  Limited-memory projective variable metric methods for unconstrained minimization.
  Tech. Rep. V-1036, ICS AS CR, December 2008

• V1017-07: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Primal interior point method for minimization of generalized minimax functions.
  Tech. Rep. V-1017, ICS AS CR, December 2007

• V1002-07: Jan Hartman, Ladislav Luksan:
  Implementace automatickeho derivovani v systemu UFO.
  Tech. Rep. V-1002, ICS AS CR, June 2007

• V1000-07: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Subroutines for large-scale nonlinear programming.
  Tech. Rep. V-1000, ICS AS CR, June 2007

• V999-07: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  New subroutines for large-scale optimization.
  Tech. Rep. V-999, ICS AS CR, June 2007

• V992-07: Jan Hartman, Ladislav Luksan, Jan Zitko:
  Automatic differentiation and its program realization.
  Tech. Rep. V-992, ICS AS CR, December 2007

• V987-06: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Interior-point methods for minimization of composite nonsmooth functions.
  Tech. Rep. V-987, ICS AS CR, December 2006

• V973-06: Jan Vlcek, Ladislav Luksan:
  New class of limited-memory variationally-derived variable metric methods.
  Tech. Rep. V-973, ICS AS CR, December 2006

• V956-05: Ladislav Luksan, Jan Stuchly, Jan Vlcek:
  Primal interior-point method for large sparse inequality constrained optimization.
  Tech. Rep. V-956, ICS AS CR, December 2005

• V942-05: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Trust-region interior-point method for large sparse l_1 optimization.
  Tech. Rep. V-942, ICS AS CR, November 2005

• V941-05: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Primal interior-point method for large sparse minimax optimization.
  Tech. Rep. V-941, ICS AS CR, October 2005

• V917-04: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  Interior point methods for large-scale nonlinear programming.
  Tech. Rep. V-917, ICS AS CR, September 2004

• V916-05: Ladislav Luksan, Jan Vlcek:
  Variable metric method for minimization of partially separable nonsmooth functions.
  Tech. Rep. V-916, ICS AS CR, March 2005

• V915-04: Ladislav Luksan, Jan Vlcek:
  Efficient methods for large-scale unconstrained optimization.
  Tech. Rep. V-915, ICS AS CR, January 2004

• V914-04: Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  A shifted Steihaug-Toint method for computing a trust-region step.
  Tech. Rep. V-914, ICS AS CR, September 2004

• V899-04: Jan Vlcek, Ladislav Luksan:
  Additional properties of shifted variable metric methods.
  Tech. Rep. V-899, ICS AS CR, January 2004

• V897-03 : Ladislav Luksan, Jan Vlcek:
  Test problems for unconstrained optimization.
  Tech. Rep. V-897, ICS AS CR, November 2003

• V896-04 : Ladislav Luksan, Ctirad Matonoha, Jan Vlcek:
  LSA: Algorithms for large-scale optimization.
  Tech. Rep. V-896, ICS AS CR, December 2004

• V876-02: Jan Vlcek, Ladislav Luksan:
  New variable metric methods for unconstrained minimization
  covering the large-scale case.
  Tech. Rep. V-876, ICS AS CR, October 2002

• V844-01: Ladislav Luksan, Jan Vlcek:
  Nonsmooth equation method for nonlinear nonconvex optimization.
  Tech. Rep. V-844, ICS AS CR, September 2001

• DMSIA 01/27: Elena Bodon, Ladislav Luksan, Emilio Spedicato:
  Numerical performance of ABS codes for nonlinear least squares.
  Tech. Rep. DMSIA 27/2001, Universita degli Studi di Bergamo, Bergamo 2001

• V837-01: Ladislav Luksan, Jan Vlcek:
  Variable metric methods for nonsmooth optimization.
  Tech. Rep. V-837, ICS AS CR, May 2001.
  Presented at the International Conference on Numerical Optimization and Numerical Linear Algebra, Dunhuang, 17-20 May 2001

• V836-01: Ladislav Luksan, Jan Vlcek:
  Interior point method for nonlinear nonconvex optimization.
  Tech. Rep. V-836, ICS AS CR, September 2001

• DMSIA 01/01: Elena Bodon, Antonio Del Popolo, Ladislav Luksan, Emilio Spedicato:
  Numerical performance of ABS codes for systems of nonlinear equations.
  Tech. Rep. DMSIA 1/2001, Universita degli Studi di Bergamo, Bergamo 2001

• DMSIA 22/00: Ladislav Luksan, Jan Vlcek:
  Numerical experience with iterative methods for equality constrained nonlinear programming problems.
  Tech. Rep. DMSIA 22/2000, Universita degli Studi di Bergamo, Bergamo 2000

• DMSIA 20/00: Elena Bodon, Antonio Del Popolo, Ladislav Luksan, Emilio Spedicato:
  Computational experiments with ABS algorithms for KKT linear systems.
  Tech. Rep. DMSIA 20/2000, Universita degli Studi di Bergamo, Bergamo 2000

• DMSIA 03/00: Ladislav Luksan, Emilio Spedicato:
  A globally convergent nonlinear ABS algorithm.
  Tech. Rep. DMSIA 3/2000, Universita degli Studi di Bergamo, Bergamo 2000
  Presented at the Third International Conference on ABS Algorithms. Beijing, 13-14 May 2001

• DMSIA 01/00 : Ladislav Luksan, Jan Vlcek:
  Introduction to nonsmooth analysis. Theory and algorithms.
  Tech. Rep. DMSIA, Serie Didattica 1/2000, Universita degli Studi di Bergamo, Bergamo 2000

• V817-00: Elena Bodon, Ladislav Luksan, Emilio Spedicato:
  Computational experiments with linear ABS algorithms.
  Tech. Rep. V-817, ICS AS CR, January 2000

• V808-00 : Ladislav Luksan, Jan Vlcek:
  Zaklady nehladke analyzy. Teorie a algoritmy.
  Tech. Rep. V-808, ICS AS CR, February 2000

• V798-00 : Ladislav Luksan, Jan Vlcek:
  Test problems for nonsmooth unconstrained and linearly constrained optimization.
  Tech. Rep. V-798, ICS AS CR, February 2000

• V797-00 : Ladislav Luksan, Jan Vlcek:
  NDA: Algorithms for nondifferentiable optimization.
  Tech. Rep. V-797, ICS AS CR, January 2000

• V780-99: Ladislav Luksan, Emilio Spedicato, Jan Vlcek:
  Variable metric methods for unconstrained optimization (complete revised version).
  Tech. Rep. V-780, ICS AS CR, May 1999

• V779-99 : Ladislav Luksan, Jan Vlcek:
  Numerical experience with iterative methods for equality constrained nonlinear programing problems.
  Tech. Rep. V-779, ICS AS CR, November 2000

• V778-99 : Ladislav Luksan, Jan Vlcek:
  Conjugate gradient methods for saddle point systems.
  Tech. Rep. V-778, ICS AS CR, September 1999

• V775-99 : Jan Vlcek, Ladislav Luksan:
  Globally convergent variable metric method for nonconvex nondifferentiable unconstrained minimization.
  Tech. Rep. V-775, ICS AS CR, April 1999

• V767-98 : Ladislav Luksan, Jan Vlcek:
  Sparse and partially separable test problems for unconstrained and equality constrained optimization.
  Tech. Rep. V-767, ICS AS CR, December 1998

• V741-98 : Ladislav Luksan, Jan Vlcek:
  Globally convergent variable metric method for convex nonsmooth unconstrained minimization.
  Tech. Rep. V-741, ICS AS CR, May 1998

• DMSIA 07/98 : Ladislav Luksan, Emilio Spedicato:
  Variable metric methods for unconstrained optimization.
  Tech. Rep. DMSIA 7/1998, Universita degli Studi di Bergamo, Bergamo 1998

• DMSIA 05/98 : Ladislav Luksan, Jan Vlcek:
  Indefinitely preconditioned truncated Newton method for large sparse equality constrained nonlinear programming problems.
  Tech. Rep. DMSIA 5/1998, Universita degli Studi di Bergamo, Bergamo 1998

• DMSIA 12/97 : Ladislav Luksan:
  Numerical methods for unconstrained optimization.
  Tech. Rep. DMSIA 12/1997, Universita degli Studi di Bergamo, Bergamo 1997

• B 10/1997 : Marko Makela, Markku Miettinen, Ladislav Luksan, Jan Vlcek:
  Comparing nonsmooth nonconvex bundle methods in solving hemivariational inequalities.
  Tech. Rep. 10/1997, Laboratory of Scientific Computing, University of Jyvaskyla, Jyvaskyla 1997

• V719-97 : Ladislav Luksan, Jan Vlcek:
  PEQN, PEQL - CGS Based Algorithms for Sparse Systems of Nonlinear Equations.
  Tech. Rep. V-719, ICS AS CR, Prague 1997

• V718-97 : Ladislav Luksan, Jan Vlcek:
  PBUN, PNEV - A Bundle-Type Algorithms for Nonsmooth Optimization.
  Tech. Rep. V-718, ICS AS CR, Prague 1997

• V717-97 : Ladislav Luksan, Jan Vlcek:
  PMIN - A Recursive Quadratic Programming Variable Metric Algorithm for Minimax Optimization.
  Tech. Rep. V-717, ICS AS CR, Prague 1997

• V691-96 : Ladislav Luksan, Jan Vlcek:
  Fully Iterative Indefinitely Preconditioned Algorithm for Large Sparse Equality Constrained Nonlinear Programming Problems.
  Tech. Rep. V-691, ICS AS CR, Prague 1996

• V668-96 : Ladislav Luksan, Jan Vlcek:
  Computational Experience with Globally Convergent Descent Methods for Large Sparse Systems of Nonlinear Equations.
  Tech. Rep. V-668, ICS AS CR, Prague 1996

• V667-96 : Ladislav Luksan, Jan Vlcek:
  Inexact Trust Region Methods Based on Preconditioned Iterative Subalgorithms for Large Sparse Systems of Nonlinear Equations.
  Tech. Rep. V-667, ICS AS CR, Prague 1996

• V654-96 : Ladislav Luksan, Jan Vlcek:
  A Bundle-Newton method for nonsmooth unconstrained minimization.
  Tech. Rep. V-654, ICS AS CR, Prague 1996

• V652-96 : Ladislav Luksan, Jan Vlcek:
  Efficient algorithm for large sparse equality constrained nonlinear programming problems
  Tech. Rep. V-652, ICS AS CR, Prague 1996

• V611-95 : Ladislav Luksan, Jan Vlcek:
  Simple Scaling for Variable Metric Updates.
  Tech. Rep. V-611, ICS AS CR, Prague 1995

• V584-94 : Ladislav Luksan, Jan Vlcek:
  Optimization of dynamical systems.
  Tech. Rept. V-584, UIVT AV CR, Prague March 1994

• V561-93 : Ladislav Luksan:
  Hybrid methods for large sparse nonlinear least squares.
  Tech. Rept. V-561, UIVT AV CR, Prague October 1993

• V555-93 : Ladislav Luksan:
  Combined trust region methods for nonlinear least squares.
  Tech. Rept. V-555, UIVT AV CR, Prague May 1993

• V547-93 : Ladislav Luksan:
  Inexact trust region method for large sparse systems of nonlinear equations.
  Tech. Rept. V-547, UIVT AV CR, Prague February 1993

• V534-92 : Ladislav Luksan:
  Computational experience with known variable metric updates.
  Tech. Rept. V-534, UIVT AV CR, Prague May 1992

• V503-91 : Ladislav Luksan:
  Efficient trust region method for nonlinear least squares.
  Tech. Rept. V-503, UIVT AV CR, Prague July 1991

• V501-91 : Ladislav Luksan:
  Inexact trust region method for large sparse nonlinear least squares.
  Tech. Rept. V-501, UIVT AV CR, Prague July 1991

• V496-91 : Ladislav Luksan:
  Variationally derived scaling and variable metric updates from the preconvex part of the Broyden family.
  Tech. Rept. V-496, UIVT AV CR, Prague April 1991

• V489-91 : Ladislav Luksan:
  A note on comparison of statistical software.
  Tech. Rept. V-489, UIVT AV CR, Prague March 1991

• V488-91 : Ladislav Luksan:
  Computational experience with improved conjugate gradient methods for unconstrained minimization.
  Tech. Rept. V-488, UIVT AV CR, Prague March 1991

• V451-89 : Ladislav Luksan:
  Computational experience with improved variable metric methods for unconstrained minimization.
  Tech. Rept. V-451, UIVT AV CR, Prague July 1989

• KYB-22/01 : Ladislav Luksan:
  Conjugate direction algorithms for extended conic functions
  Kybernetika, Vol. 22, No. 1, 1986, pp. 31-46.

• KYB-21/02 : Ladislav Luksan:
  Variable metric methods for a class of extended conic functions
  Kybernetika, Vol. 21, No. 2, 1985, pp. 96-107.

• APL-31/06 : Ladislav Luksan:
  Conjugate gradient algorithms for conic functions
  Aplikace Matematiky, Vol. 31, No. 6, 1986, pp. 427-440.

• KYB-21/06 : Ladislav Luksan:
  A compact variable metric algorithm for linearly constrained nonlinear minimax approximation
  Kybernetika, Vol. 21, No. 6, 1985, pp. 405-427.

• KYB-21/01 : Ladislav Luksan:
  An implementation of recursive quadratic programming variable metric methods for linearly constrained nonlinear minimax approximation
  Kybernetika, Vol. 21, No. 1, 1985, pp. 22-40.

• KYB-20/06 : Ladislav Luksan:
  Dual method for solving a special problem of quadratic programming as a subproblem at linearly constrained nonlinear minimax approximation
  Kybernetika, Vol. 20, No. 6, 1984, pp. 445-457.

• APL-31/05 : Ladislav Luksan:
  Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation
  Aplikace Matematiky, Vol. 31, No. 5, 1986, pp. 379-395.

• KYB-18/06 : Ladislav Luksan:
  Variable metric method with limited storage for large-scale unconstrained minimization
  Kybernetika, Vol. 18, No. 6, 1982, pp. 517-528.

• KYB-18/04 : Ladislav Luksan:
  Quasi-Newton methods without projections for linearly constrained minimization
  Kybernetika, Vol. 18, No. 4, 1982, pp. 307-319.

• KYB-18/04 : Ladislav Luksan:
  Quasi-Newton methods without projections for unconstrained minimization
  Kybernetika, Vol. 18, No. 4, 1982, pp. 290-306.