J. Vlček, L. Lukšan
Two limited-memory optimization methods with minimum violation of the previous secant
conditions
Comput Optim Appl 80 (2021) 755-780.
https://doi.org/10.1007/s10589-021-00318-y.
J. Vlček, L. Lukšan
A limited-memory optimization method using the infinitely many times repeated BNS update and conjugate directions
Journal of Computational and Applied Mathematics 351 (2019) 14-28.
J. Vlček, L. Lukšan
Properties of the block BFGS update and its application to the limited-memory block BNS method for unconstrained minimization
Numer. Algor. 80 (2019) 957-987.
L. Lukšan, J. Vlček
New quasi-Newton method for solving systems of nonlinear equations
Applications of Mathematics 62 (2017) 121-134.
J. Vlček, L. Lukšan
A modified limited-memory BNS method for unconstrained minimization based on the conjugate directions idea
Optimization Methods & Software 30 (2015) 616-633.
L. Lukšan, J. Vlček
Efficient tridiagonal preconditioner for the matrix-free truncated Newton method
Appl. Math. Comput. 235 (2014) 394-407.
L. Lukšan, J. Vlček
Recursive form of general limited memory variable metric methods
Kybernetika 49 (2013) 224-235.
J. Vlček, L. Lukšan
Generalizations of the limited-memory BFGS method based on quasi-product form of update
Journal of Computational and Applied Mathematics 241 (2013) 116-129.
J. Vlček, L. Lukšan
A conjugate directions approach to improve the limited-memory BFGS method
Appl. Math. Comput. 219 (2012) 800-809.
L. Lukšan, C. Matonoha, J. Vlček
Primal interior point method for minimization of generalized minimax functions
Kybernetika 46 (2010) 697-721.
L. Lukšan, C. Matonoha, J. Vlček
Primal interior-point method for large sparse minimax optimization
Kybernetika 45 (2009) 841-864.
L. Lukšan, C. Matonoha, J. Vlček
Algorithm 896: LSA: Algorithms for Large-Scale Optimization
ACM Transactions on Mathematical Software 36 (2009) No. 3.
L. Lukšan, C. Matonoha, J. Vlček
On Lagrange Multipliers of trust region subproblems
BIT Numerical Analysis 48 (2008) 763-768.
J. Vlček, L. Lukšan
Application of the infinitely many times repeated BNS update and conjugate
directions
to limited-memory optimization methods
Proc. of Semin. PANM19, Hejnice, 24-29 June 2018.
L. Lukšan, J. Vlček
A hybrid method for nonlinear least squares that uses quasi-Newton updates
applied to an approximation of the Jacobian matrix
Proc. of Semin. PANM19, Hejnice, 24-29 June 2018.
J. Vlček, L. Lukšan
A generalized limited-memory BNS method based on the block BFGS update
Proc. of Semin. PANM18, Janov nad Nisou, 19-24 June 2016.
J. Vlček, L. Lukšan
A modified limited-memory BNS method for unconstrained minimization
derived from the conjugate directions idea
Proc. of Semin. PANM17, Dolní Maxov, 8-13 June 2014.
L. Lukšan, J. Vlček
Nonlinear conjugate gradient methods
Proc. of Semin. PANM17, Dolní Maxov, 8-13 June 2014.
J. Vlček, L. Lukšan
Modifications of the limited-memory BFGS method based on the idea of conjugate directions
Proc. of Semin. PANM16, Dolní Maxov, 3-8 June 2012.
L. Lukšan, C. Matonoha, J. Vlček
Interior point method for nonlinear programming with complementarity constraints
SIAM Confer. On Optimization, Darmstadt, 16-19 May 2011.
L. Lukšan, J. Vlček
Recursive formulation of limited memory variable metric methods
Poster on the SIAM Confer. On Optimization, Darmstadt, 16-19 May 2011.
C. Matonoha, L. Lukšan, J. Vlček
Interior point method for nonlinear programming with complementarity constraints
Confer. IMA2010, Birmingham, 13-15 September 2010.
J. Vlček, L. Lukšan
Limited-memory variable metric methods that use quantities from the preceding iteration
Proc. of Semin. PANM15, Dolní Maxov, 6-11 June 2010.
L. Lukšan, C. Matonoha, J. Vlček
Robust preconditioners for the matrix free truncated Newton
Proc. of Semin. PANM15, Dolní Maxov, 6-11 June 2010.
L. Lukšan, J. Vlček
Recursive formulation of limited memory variable metric methods
Proc. of Semin. SNA’10, Nové Hrady, 18–22 January 2010.
J. Vlček, L. Lukšan
Transformations enabling to construct limited-memory Broyden class methods
Confer. MODELLING’09, Rožnov pod Radhoštěm, 22-26 June 2009.
L. Lukšan, C. Matonoha, J. Vlček
Interior point method for nonlinear programming with complementarity constraints
Confer. MODELLING’09, Rožnov pod Radhoštěm, 22-26 June 2009.
L. Lukšan, C. Matonoha, J. Vlček
Interior-point method for nonlinear nonconvex optimization
Confer. MODELLING’09, Rožnov pod Radhoštěm, 22-26 June 2009.
L. Lukšan, C. Matonoha, J. Vlček
Computational experience with modified conjugate gradient methods for unconstrained optimization
Proc. of Semin. SNA’09, Ostrava, 2-6 February 2009.
L. Lukšan, C. Matonoha, J. Vlček
Metody vnitřních bodů pro nekonvexní úlohy nelineárního programování
Sborník 7. matem. workshopu, Brno, 16. říjen 2008.
C. Matonoha, L. Lukšan, J. Vlček
Interior-point method for nonlinear nonconvex optimization
8th GAMM Workshop, Hamburg, 11-12 September 2008.
J. Vlček, L. Lukšan
Limited-memory variable metric methods based on invariant matrice
Proc. of Semin. PANM14, Dolní Maxov, 1-6 June 2008.
C. Matonoha, L. Lukšan, J. Vlček
On Lagrange multipliers of trust region subproblems
Proc. of Semin. PANM14, Dolní Maxov, 1-6 June 2008.
L. Lukšan, C. Matonoha, J. Vlček
Primal interior point method for generalized minimax functions
Proc. of Semin. PANM14, Dolní Maxov, 1-6 June 2008.
C. Matonoha, L. Lukšan, J. Vlček
On Lagrange multipliers of trust region subproblems
Confer. Applied Linear Algebra in Honor of Ivo Marek, Novi Sad, 28-30 April 2008.
L. Lukšan, C. Matonoha, J. Vlček
Konvergence nelineární metody sdružených gradientů
Konference SNA’08, Liberec, 28.1.-1.2.2008.