Počet záznamů: 1  

Indefinitely preconditioned inexact Newton method for large sparse equality constrained non-linear programming problems

  1. 1.
    Lukšan, Ladislav - Vlček, Jan
    Indefinitely preconditioned inexact Newton method for large sparse equality constrained non-linear programming problems.
    Numerical Linear Algebra with Applications. Roč. 5, č. 3 (1998), s. 219-247. ISSN 1070-5325. E-ISSN 1099-1506
    Impakt faktor: 0.741, rok: 1998
    http://hdl.handle.net/11104/0123566

    Citováno: 90

    --- Macek Jan. Metoda vnitřního bodu pro rozsáhlé úlohy nelineárního programování. Diplomová práce. Praha : MFF UK, p. 107
    --- Rozložník M, Simoncini V. Short-term recurrences for indefinite preconditioning of saddle point problems, 2000,
    --- Durazzi C, Ruggiero V. Indefinitely preconditioned conjugate gradient method for large sparse equality and inequality constrained quadratic problems. Numerical linear algebra with applications [WOS]
    --- Axelsson O, Neytcheva M. Preconditioning methods for linear systems arising in constrained optimization problems. NUMER LINEAR ALGEBRA, 2003, vol. 10, p. 3-31 [WOS]
    --- Guerrero-Garcia P, Santos-Palomo A. A sparse implementation of Lawson and Hanson's convex NNLS method. Numerical linear algebra with applications, 2007,
    --- Benzi M, Golub GH, Liesen J. Numerical solution of saddle point problems. Acta numerica, 2005, p. 1-137
    --- Gould N, Orban D, Toint P. Numerical methods for large-scale nonlinear optimization. Acta numerica, 2005, p. 299-361
    --- HEINKENSCHLOSS, M. - NGUYEN, H. Neumann-Neumann domain decomposition preconditioners for linear-quadratic elliptic optimal control problems. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2006, vol. 28, no. 3, p. 1001-1028. [WOS]
    --- HAGEMANN, M. - SCHENK, O. Weighted matchings for preconditioning symmetric indefinite linear systems. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2006, vol. 28, no. 2, p. 403-420. [WOS]
    --- DOLLAR, H.S. - GOULD, N.I.M. - SCHILDERS, W.H.A. - WATHEN, A.J. Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2006, vol. 28, no. 1, p. 170-189. [WOS]
    --- BENZI, M. - NG, M.K. Preconditioned iterative methods for weighted Toeplitz least squares problems. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2006, vol. 27, no. 4, p. 1106-1124. [WOS]
    --- DOLLAR, H.S. - WATHEN, A.J. Approximate factorization constraint preconditioners for saddle-point matrices. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2006, vol. 27, no. 5, p. 1555-1572. [WOS]
    --- BAI, Z.Z. - NG, M.K. On inexact preconditioners for nonsymmetric matrices. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2005, vol. 26, no. 5, p. 1710-1724. [WOS]
    --- BENZI, M. - GOLUB, G.H. A preconditioner for generalized saddle point problems. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2004, vol. 26, no. 1, p. 20-41. [WOS]
    --- REES, T. - GREIF, C. A preconditioner for linear systems arising from interior point optimization methods. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2007, vol. 29, no. 5, p. 1992-2007. [WOS]
    --- FORSGREN, A. - GILL, P.E. - GRIFFIN, J.D. Iterative solution of augmented systems arising in interior methods. SIAM JOURNAL ON OPTIMIZATION. ISSN 1052-6234, 2007, vol. 18, no. 2, p. 666-690. [WOS]
    --- BONETTINI, S. - RUGGIERO, V. Some iterative methods for the solution of a symmetric indefinite KKT system. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, SEP 2007, vol. 38, no. 1, p. 3-25. [WOS]
    --- BERGAMASCHI, L. - FERRONATO, M. - GAMBOLATI, G. Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2007, vol. 196, no. 25-28, p. 2647-2656. [WOS]
    --- CHEN, X. - PHOON, K.K. - TOH, K.C. Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot's problem. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2007, vol. 196, no. 25-28, p. 2737-2750. [WOS]
    --- BONETTINI, S. - GALLIGANI, E. - RUGGIERO, V. Inner solvers for interior point methods for large scale nonlinear programming. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, MAY 2007, vol. 37, no. 1, p. 1-34. [WOS]
    --- BERGAMASCHI, L. - GONDZIO, J. - VENTURIN, M. - ZILLI, G. Inexact constraint preconditioners for linear systems arising in interior point methods. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, APR 2007, vol. 36, no. 2-3, p. 137-147. [WOS]
    --- DOLLAR, H.S. - GOULD, N.I.M. - SCHILDERS, W.H.A. - WATHEN, A.J. Using constraint preconditioners with regularized saddle-point problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, APR 2007, vol. 36, no. 2-3, p. 249-270. [WOS]
    --- NASH, S.G. A survey of truncated-Newton methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, DEC 1 2000, vol. 124, no. 1-2, p. 45-59. [WOS]
    --- CAFIERI, S. - DAPUZZO, M. - DE SIMONE, V. - DI SERAFINO, D. On the iterative solution of KKT systems in potential reduction software for large-scale quadratic problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, SEP 2007, vol. 38, no. 1, p. 27-45. [WOS]
    --- CAFIERI, S. - DAPUZZO, M. - DE SIMONE, V. - DI SERAFINO, D. Stopping criteria for inner iterations in inexact potential reduction methods: a computational study. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, APR 2007, vol. 36, no. 2-3, p. 165-193. [WOS]
    --- CAO, Z.H. A note on spectrum distribution of constraint preconditioned generalized saddle point matrices. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, JUN 2009, vol. 16, no. 6, p. 503-516. [WOS]
    --- D'APUZZO, M. - DE SIMONE, V. - DI SERAFINO, D. On mutual impact of numerical linear algebra and large-scale optimization with focus on interior point methods. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, MAR 2010, vol. 45, no. 2, p. 283-310. [WOS]
    --- ZHANG, N.M. - WEI, Y.M. On the convergence of general stationary iterative methods for range-Hermitian singular linear systems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, JAN 2010, vol. 17, no. 1, p. 139-154. [WOS]
    --- CAFIERI, S. - D'APUZZO, M. - DE SIMONE, V. - DI SERAFINO, D. ON THE USE OF AN APPROXIMATE CONSTRAINT PRECONDITIONER IN A POTENTIAL REDUCTION ALGORITHM FOR QUADRATIC PROGRAMMING. APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY II. ISSN 1793-0901, 2007, vol. 75, p. 220-230. [WOS]
    --- BAI, Z.Z. - NG, M.K. - WANG, Z.Q. CONSTRAINT PRECONDITIONERS FOR SYMMETRIC INDEFINITE MATRICES. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2009, vol. 31, no. 2, p. 410-433. [WOS]
    --- CAO, Z.H. Constraint Schur complement preconditioners for nonsymmetric saddle point problems. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, JAN 2009, vol. 59, no. 1, p. 151-169. [WOS]
    --- BERGAMASCHI, L. - FERRONATO, M. - GAMBOLATI, G. Mixed Constraint Preconditioners for the iterative solution of FE coupled consolidation equations. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, DEC 1 2008, vol. 227, no. 23, p. 9885-9897. [WOS]
    --- FERRONATO, M. - JANNA, C. - GAMBOLATI, G. Mixed constraint preconditioning in computational contact mechanics. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2008, vol. 197, no. 45-48, p. 3922-3931. [WOS]
    --- AL-JEIROUDI, G. - GONDZIO, J. - HALL, J. Preconditioning indefinite systems in interior point methods for large scale linear optimisation. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, JUN 2008, vol. 23, no. 3, p. 345-363. [WOS]
    --- STOLPE, M. - STEGMANN, J. A Newton method for solving continuous multiple material minimum compliance problems. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION. ISSN 1615-147X, FEB 2008, vol. 35, no. 2, p. 93-106. [WOS]
    --- BONETTINI, S. - RUGGIERO, V. - TINTI, F. On the solution of indefinite systems arising in nonlinear programming problems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, DEC 2007, vol. 14, no. 10, p. 807-831. [WOS]
    --- CAFIERI, S. - D'APUZZO, M. - DE SIMONE, V. - DI SERAFINO, D. On the iterative solution of KKT systems in potential reduction software for large-scale quadratic problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, SEP 2007, vol. 38, no. 1, p. 27-45. [WOS]
    --- CAFIERI, S. - D'APUZZO, M. - DE SIMONE, V. - DI SERAFINO, D. Stopping criteria for inner iterations in inexact potential reduction methods: a computational study. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, APR 2007, vol. 36, no. 2-3, p. 165-193. [WOS]
    --- BYRD, R.H. - NOCEDAL, J. - WALTZ, R.A. KNITRO: An integrated package for nonlinear optimization. LARGE-SCALE NONLINEAR OPTIMIZATION. 2006, vol. 83, p. 35-59. [WOS]
    --- DOLLAR, H.S. - GOULD, N.I.M. - WATHEN, A.J. On implicit-factorization constraint preconditioners. Large-Scale Nonlinear Optimization. 2006, vol. 83, p. 61-82. [WOS]
    --- SIEFERT, C. - DE STURLER, E. Preconditioners for generalized saddle-point problems. SIAM JOURNAL ON NUMERICAL ANALYSIS. ISSN 0036-1429, 2006, vol. 44, no. 3, p. 1275-1296. [WOS]
    --- ARIOLI, M. - MARYSKA, J. - ROZLOZNIK, M. - TUMA, M. Dual variable methods for mixed-hybrid finite element approximation of the potential fluid flow problem in porous media. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. ISSN 1068-9613, 2006, vol. 22, p. 17-40. [WOS]
    --- DE STURLER, E. - LIESEN, J. Block-diagonal and constraint preconditioners for nonsymmetric indefinite linear systems. Part I: Theory. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2005, vol. 26, no. 5, p. 1598-1619. [WOS]
    --- BERGAMASCHI, L. - GONDZIO, J. - ZILLI, G. Preconditioning indefinite systems in interior point methods for optimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, JUL 2004, vol. 28, no. 2, p. 149-171. [WOS]
    --- AXELSSON, O. - NEYTCHEVA, M. Robust preconditioners for saddle point problems. NUMERICAL METHODS AND APPLICATIONS. ISSN 0302-9743, 2003, vol. 2542, p. 158-166. [WOS]
    --- DURAZZI, C. - RUGGIERO, V. Numerical solution of special linear and quadratic programs via a parallel interior-point method. PARALLEL COMPUTING. ISSN 0167-8191, APR 2003, vol. 29, no. 4, p. 485-503. [WOS]
    --- AXELSSON, O. - NEYTCHEVA, M. Preconditioning methods for linear systems with saddle point matrices. COMPUTATIONAL SCIENCE-ICCS 2002, PT III, PROCEEDINGS. ISSN 0302-9743, 2002, vol. 2331, p. 784-793. [WOS]
    --- ROZLOZNIK, M. - SIMONCINI, V. Krylov subspac methods for saddle point problems with indefinite preconditioning. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, DEC 19 2002, vol. 24, no. 2, p. 368-391. [WOS]
    --- AXELSSON, O. - NEYTCHEVA, M. Preconditioning methods for linear systems arising in constrained optimization problems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, JAN-MAR 2003, vol. 10, no. 1-2, p. 3-31. [WOS]
    --- CAO, Z.H. A note on constraint preconditioning or nonsymmetric indefinite matrices. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, JUL 9 2002, vol. 24, no. 1, p. 121-125. [WOS]
    --- GOULD, N.I.M. - HRIBAR, M.E. - NOCEDAL, J. On the solution of equality constrained quadratic programming problems arising in optimization. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, DEC 18 2001, vol. 23, no. 4, p. 1375-1394. [WOS]
    --- PERUGIA, I. - SIMONCINI, V. Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, OCT-DEC 2000, vol. 7, no. 7-8, p. 585-616. [WOS]
    --- ALOTTO, P. - PERUGIA, I. A field-based finite element method for magnetostatics derived from an error minimization approach. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, OCT 10 2000, vol. 49, no. 4, p. 573-598. [WOS]
    --- MARYSKA, J. - ROZLOZNIK, M. - TUMA, M. Schur complement systems in the mixed-hybrid finite element approximation of the potential fluid flow problem. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, AUG 31 2000, vol. 22, no. 2, p. 704-723. [WOS]
    --- KELLER, C. - GOULD, N.I.M. - WATHEN, A.J. Constraint preconditioning for indefinite linear systems. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, MAY 16 2000, vol. 21, no. 4, p. 1300-1317. [WOS]
    --- Bonettini, S. Some Preconditioned Conjugate Gradient Algorithms for the Solution of Equality Constrained Quadratic Programming Problems. Communications to SIMAI Congress 2 (2006) DOI: 10.1685/CSC06165
    --- Al-Jeiroudi, G. On Inexact Newton Directions in Interior Point Methods for Linear Optimization. Doctor of Philosophy, University of Edinburgh 2008.
    --- Byrd RH, Nocedal J, Waltz RA. KNITRO: An Integrated Package for Nonlinear Optimization. In Large-Scale Nonlinear Optimization. Springer 2006, p 35-59.
    --- Dollar HS, Gould NIM, Wathen AJ. On implicit-factorization constraint preconditioners. In Large-Scale Nonlinear Optimization. Springer 2006, p 61-82.
    --- GONDZIO, J. Interior point methods 25 years later. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. ISSN 0377-2217, MAY 1 2012, vol. 218, no. 3, p. 587-601. [WOS]
    --- CHEN, D.D. - HUANG, T.Z. - LI, L. An algorithm for symmetric indefinite linear systems. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. ISSN 1521-1398, MAY 2012, vol. 14, no. 4, p. 767-784. [WOS]
    --- GONDZIO, J. Matrix-free interior point method. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, MAR 2012, vol. 51, no. 2, p. 457-480. [WOS]
    --- BERGAMASCHI, L. - MARTINEZ, A. FSAI-based parallel Mixed Constraint Preconditioners for saddle point problems arising in geomechanics. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, SEP 1 2011, vol. 236, no. 3, p. 308-318. [WOS]
    --- BENZI, M. - NG, M. - NIU, Q. - WANG, Z. A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, JUL 10 2011, vol. 230, no. 16, p. 6185-6202. [WOS]
    --- ZHOU, J.T. - NIU, Q.A. Substructure preconditioners for a class of structured linear systems of equations. MATHEMATICAL AND COMPUTER MODELLING. ISSN 0895-7177, NOV 2010, vol. 52, no. 9-10, p. 1547-1553. [WOS]
    --- EL MALIKI, A. - FORTIN, M. - TARDIEU, N. - FORTIN, A. Iterative solvers for 3D linear and nonlinear elasticity problems: Displacement and mixed formulations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. ISSN 0029-5981, SEP 24 2010, vol. 83, no. 13, p. 1780-1802. [WOS]
    --- SIMONCINI, V. Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, OCT 2012, vol. 53, no. 2, SI, p. 591-617. [WOS]
    --- PETRA, C.G. - ANITESCU, M. A preconditioning technique for Schur complement systems arising in stochastic optimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, JUN 2012, vol. 52, no. 2, p. 315-344. [WOS]
    --- JANNA, C. - FERRONATO, M. - GAMBOLATI, G. Parallel inexact constraint preconditioning for ill-conditioned consolidation problems. COMPUTATIONAL GEOSCIENCES. ISSN 1420-0597, JUN 2012, vol. 16, no. 3, p. 661-675. [WOS]
    --- BERGAMASCHI, L. - MARTINEZ, A. RMCP: Relaxed Mixed Constraint Preconditioners for saddle point linear systems arising in geomechanics. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. ISSN 0045-7825, 2012, vol. 221, p. 54-62. [WOS]
    --- BENZI, M. - WATHEN, A.J. Some Preconditioning Techniques for Saddle Point Problems. MODEL ORDER REDUCTION: THEORY, RESEARCH ASPECTS AND APPLICATIONS. 2008, p. 195-211. [WOS]
    --- DOLLAR, H.S. Constraint-style preconditioners for regularized saddle point problems. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2007, vol. 29, no. 2, p. 672-684. [WOS]
    --- NOCEDAL, J. - WRIGHT, S.J. Numerical Optimization, Second Edition. NUMERICAL OPTIMIZATION, SECOND EDITION. ISSN 1431-8598, 2006, p. 1-664. [WOS]
    --- ROZLOZNIK, M. - SIMONCINI, V. Krylov subspace methods for saddle point problems with indefinite preconditioning. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, DEC 19 2002, vol. 24, no. 2, p. 368-391. [WOS]
    --- BAI, Z.Z. Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, JAN 1 2013, vol. 237, no. 1, p. 295-306. [WOS]
    --- GOULD, N. - ORBAN, D. - REES, T. PROJECTED KRYLOV METHODS FOR SADDLE-POINT SYSTEMS. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2014, vol. 35, no. 4, p. 1329-1343. [WOS]
    --- PESTANA, J. - WATHEN, A.J. THE ANTITRIANGULAR FACTORIZATION OF SADDLE POINT MATRICES. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2014, vol. 35, no. 2, p. 339-353. [WOS]
    --- MORINI, B. - SIMONCINI, V. - TANI, M. A comparison of reduced and unreduced KKT systems arising from interior point methods. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, SEP 2017, vol. 68, no. 1, p. 1-27. [WOS]
    --- GONDZIO, J. Crash start of interior point methods. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. ISSN 0377-2217, NOV 16 2016, vol. 255, no. 1, p. 308-314. [WOS]
    --- BELLAVIA, S. - DE SIMONE, V. - DI SERAFINO, D. - MORINI, B. On the update of constraint preconditioners for regularized KKT systems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, NOV 2016, vol. 65, no. 2, SI, p. 339-360. [WOS]
    --- MORINI, B. - SIMONCINI, V. - TANI, M. Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, OCT 2016, vol. 23, no. 5, p. 776-800. [WOS]
    --- CAO, Y.K. - SETH, A. - LAIRD, C.D. An augmented Lagrangian interior-point approach for large-scale NLP problems on graphics processing units. COMPUTERS & CHEMICAL ENGINEERING. ISSN 0098-1354, FEB 2 2016, vol. 85, p. 76-83. [WOS]
    --- KOCVARA, M. - LOGHIN, D. - TURNER, J. CONSTRAINT INTERFACE PRECONDITIONING FOR TOPOLOGY OPTIMIZATION PROBLEMS. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2016, vol. 38, no. 1, p. A128-A145. [WOS]
    --- BELLAVIA, S. - DE SIMONE, V. - DI SERAFINO, D. - MORINI, B. UPDATING CONSTRAINT PRECONDITIONERS FOR KKT SYSTEMS IN QUADRATIC PROGRAMMING VIA LOW-RANK CORRECTIONS. SIAM JOURNAL ON OPTIMIZATION. ISSN 1052-6234, 2015, vol. 25, no. 3, p. 1787-1808. [WOS]
    --- PESTANA, J. - WATHEN, A.J. Natural Preconditioning and Iterative Methods for Saddle Point Systems. SIAM REVIEW. ISSN 0036-1445, 2015, vol. 57, no. 1, p. 71-91. [WOS]
    --- KURATKO, J. Factorization of saddle-point matrices in dynamical systems optimization-reusing pivots. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, APR 1 2019, vol. 566, p. 61-85. [WOS]
    --- BERGAMASCHI, L. - DE SIMONE, V. - DI SERAFINO, D. - MARTINEZ, A. BFGS-like updates of constraint preconditioners for sequences of KKT linear systems in quadratic programming. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, OCT 2018, vol. 25, no. 5. [WOS]
    --- NIFA, N. - AUBRY, D. - CORUS, M. An explicit-implicit projection approach for solving saddle-point systems arising from parameter identification problems. COMPUTERS & STRUCTURES. ISSN 0045-7949, JUL 1 2018, vol. 203, p. 1-17. [WOS]
    --- LUNGTEN, S. - SCHILDERS, W.H.A. - MAUBACH, J.M.L. Threshold incomplete factorization constraint preconditioners for saddle-point matrices. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, MAY 15 2018, vol. 545, p. 76-107. [WOS]
    --- SCOTT, J. - TUMA, M. Improving the stability and robustness of incomplete symmetric indefinite factorization preconditioners. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, OCT 2017, vol. 24, no. 5. [WOS]

Počet záznamů: 1  

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