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Volumn 36, Issue 2-3, 2007, Pages 137-147

Erratum: Inexact constraint preconditioners for linear systems arising in interior point methods (Comput Optim Appl (2007) 36 (137-147) DOI: 10.1007/s10589-006-9001-0);Inexact constraint preconditioners for linear systems arising in interior point methods

Author keywords

Approximate Jacobian; Interior point methods; Iterative solvers; Preconditioners

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; EIGENVALUES AND EIGENFUNCTIONS; JACOBIAN MATRICES; OPTIMIZATION; SPECTRUM ANALYSIS;

EID: 34248189227     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-009-9298-6     Document Type: Erratum
Times cited : (56)

References (12)
  • 1
    • 0000728112 scopus 로고    scopus 로고
    • Implementation of interior point methods for large scale linear programming
    • Terlaky, T, ed, Kluwer Academic, Dordrecht
    • Andersen, E.D., Gondzio, J., Mészáros, C., Xu, X.: Implementation of interior point methods for large scale linear programming. In: Terlaky, T. (ed.), Interior Point Methods in Mathematical Programming, pp. 189-252. Kluwer Academic, Dordrecht (1996)
    • (1996) Interior Point Methods in Mathematical Programming , pp. 189-252
    • Andersen, E.D.1    Gondzio, J.2    Mészáros, C.3    Xu, X.4
  • 2
    • 20044390432 scopus 로고    scopus 로고
    • Numerical solution of saddle point problems
    • Benzi, M., Golub, G., Liesen, J.: Numerical solution of saddle point problems. Acta Numer. 14, 1-137 (2005)
    • (2005) Acta Numer , vol.14 , pp. 1-137
    • Benzi, M.1    Golub, G.2    Liesen, J.3
  • 3
    • 33645533824 scopus 로고    scopus 로고
    • On the eigenvalues of a class of saddle point matrices
    • Benzi, M., Simoncini, V.: On the eigenvalues of a class of saddle point matrices. Numer. Math. 103 173-196 (2006)
    • (2006) Numer. Math , vol.103 , pp. 173-196
    • Benzi, M.1    Simoncini, V.2
  • 4
    • 3543086890 scopus 로고    scopus 로고
    • Preconditioning indefinite systems in interior point methods for optimization
    • Bergamaschi, L., Gondzio, J., Zilli, G.: Preconditioning indefinite systems in interior point methods for optimization. Comput. Optim. Appl. 28, 149-171 (2004)
    • (2004) Comput. Optim. Appl , vol.28 , pp. 149-171
    • Bergamaschi, L.1    Gondzio, J.2    Zilli, G.3
  • 5
    • 0035479777 scopus 로고    scopus 로고
    • A preconditioned conjugate gradient approach to linear equality constrained minimization
    • Coleman, T., Verma, A.: A preconditioned conjugate gradient approach to linear equality constrained minimization. Comput. Optim. Appl. 20, 61-72 (2001)
    • (2001) Comput. Optim. Appl , vol.20 , pp. 61-72
    • Coleman, T.1    Verma, A.2
  • 6
    • 33748759589 scopus 로고    scopus 로고
    • Approximate factorization constraint preconditioners for saddle-point matrices
    • Dollar, H., Wathen, A.: Approximate factorization constraint preconditioners for saddle-point matrices. SIAM J. Sci. Comput. 27, 1555-1572 (2005)
    • (2005) SIAM J. Sci. Comput , vol.27 , pp. 1555-1572
    • Dollar, H.1    Wathen, A.2
  • 7
    • 0000739653 scopus 로고
    • Software for simplified Lanczos and QMR algorithms
    • Freund, R.W., Nachtigal, N.M.: Software for simplified Lanczos and QMR algorithms. Appl. Numer. Math. 19, 319-341 (1995)
    • (1995) Appl. Numer. Math , vol.19 , pp. 319-341
    • Freund, R.W.1    Nachtigal, N.M.2
  • 8
    • 0029358316 scopus 로고    scopus 로고
    • Gondzio, J, HOPDM (version 2.12, a fast LP solver based on a primal-dual interior point method. Eur. J. Oper. Res. 85, 221-225 1995
    • Gondzio, J.: HOPDM (version 2.12) - a fast LP solver based on a primal-dual interior point method. Eur. J. Oper. Res. 85, 221-225 (1995)
  • 9
    • 0036344992 scopus 로고    scopus 로고
    • On the solution of equality constrained quadratic problems arising in optimization
    • Gould, N.I.M., Hribar, M.E., Nocedal, J.: On the solution of equality constrained quadratic problems arising in optimization. SIAM J. Sci. Comput. 23, 1375-1394 (2001)
    • (2001) SIAM J. Sci. Comput , vol.23 , pp. 1375-1394
    • Gould, N.I.M.1    Hribar, M.E.2    Nocedal, J.3
  • 10
    • 0034145598 scopus 로고    scopus 로고
    • Constraint preconditioning for indefinite linear systems
    • Keller, C., Gould, N.I.M., Wathen, A.J.: Constraint preconditioning for indefinite linear systems. SIAM J. Matrix Anal. Appl. 21, 1300-1317 (2000)
    • (2000) SIAM J. Matrix Anal. Appl , vol.21 , pp. 1300-1317
    • Keller, C.1    Gould, N.I.M.2    Wathen, A.J.3
  • 11
    • 0345293940 scopus 로고    scopus 로고
    • Indefinitely preconditioned inexact Newton method for large sparse equality constrained nonlinear programming problems
    • Lukšan, L., Vlček, J.: Indefinitely preconditioned inexact Newton method for large sparse equality constrained nonlinear programming problems. Numer. Linear Algebra Appl. 5, 219-247 (1998)
    • (1998) Numer. Linear Algebra Appl , vol.5 , pp. 219-247
    • Lukšan, L.1    Vlček, J.2


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