메뉴 건너뛰기




Volumn 3401, Issue , 2005, Pages 14-24

The dynamics of matrix coupling with an application to krylov methods

Author keywords

Analyticity; Backward analysis; Critical point; Eigenprojection; Frontier point; Jordan structure; Krylov method; Ritz value; Schur complement; Sherman Morrison formula; Singularity

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION;

EID: 24144488602     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-31852-1_2     Document Type: Conference Paper
Times cited : (2)

References (21)
  • 3
    • 0004156107 scopus 로고    scopus 로고
    • Wiley, Chichester, 1993. Enlarged Translation of the French Publication with Masson
    • F. Chatelin. Eigenvalues of matrices. Wiley, Chichester, 1993. Enlarged Translation of the French Publication with Masson.
    • Eigenvalues of Matrices
    • Chatelin, F.1
  • 4
    • 33645614791 scopus 로고    scopus 로고
    • About singularities in inexact computing
    • CERFACS, Toulouse, France
    • F. Chaitin-Chatelin. About Singularities in Inexact Computing. Technical Report TR/PA/02/106, CERFACS, Toulouse, France, 2002.
    • (2002) Technical Report TR/PA/02/106
    • Chaitin-Chatelin, F.1
  • 5
    • 33645623682 scopus 로고    scopus 로고
    • The Arnoldi method in the light of Homotopic Deviation theory
    • CERFACS, Toulouse, France
    • F. Chaitin-Chatelin. The Arnoldi method in the light of Homotopic Deviation theory. Technical Report TR/PA/03/15, CERFACS, Toulouse, France, 2003.
    • (2003) Technical Report TR/PA/03/15
    • Chaitin-Chatelin, F.1
  • 7
    • 33645623147 scopus 로고    scopus 로고
    • Homotopic perturbation - Unfolding the field of singularities of a matrix by a complex parameter: A global geometric approach
    • CERFACS
    • F. Chaitin-Chatelin and E. Traviesas. Homotopic perturbation - Unfolding the field of singularities of a matrix by a complex parameter: a global geometric approach. Technical Report TR/PA/01/84, CERFACS, 2001.
    • (2001) Technical Report TR/PA/01/84
    • Chaitin-Chatelin, F.1    Traviesas, E.2
  • 9
    • 33645624980 scopus 로고    scopus 로고
    • To appear in B. Einarsson ed., SIAM Philadelphia
    • To appear in Handbook of Computation, B. Einarsson ed., SIAM Philadelphia.
    • Handbook of Computation
  • 10
    • 0034380196 scopus 로고    scopus 로고
    • Accuracy assessment for eigen-computations: Variety of backward errors and pseudospectra
    • F. Chaitin-Chatelin, V. Toumazou, E. Traviesas. Accuracy assessment for eigen-computations: variety of backward errors and pseudospectra. Lin. Alg. App. 309, 73-83, 2000.
    • (2000) Lin. Alg. App. , vol.309 , pp. 73-83
    • Chaitin-Chatelin, F.1    Toumazou, V.2    Traviesas, E.3
  • 12
    • 33645608578 scopus 로고    scopus 로고
    • Homotopic Deviation theory with an application to computational acoustics
    • CERFACS, Toulouse, France
    • F. Chaitin-Chatelin and M.B. van Gijzen. Homotopic Deviation theory with an application to computational acoustics. Technical Report TR/PA/04/05, CERFACS, Toulouse, France, 2004.
    • (2004) Technical Report TR/PA/04/05
    • Chaitin-Chatelin, F.1    Van Gijzen, M.B.2
  • 13
    • 33645615423 scopus 로고    scopus 로고
    • Computing beyond analyticity. Matrix algorithms in in-exact and uncertain Computing
    • CERFACS, Toulouse, France
    • F. Chaitin-Chatelin. Computing beyond analyticity. Matrix Algorithms in In-exact and Uncertain Computing. Technical Report TR/PA/03/110, CERFACS, Toulouse, France, 2003.
    • (2003) Technical Report TR/PA/03/110
    • Chaitin-Chatelin, F.1
  • 15
    • 84944070333 scopus 로고    scopus 로고
    • Understanding Krylov methods in finite precision
    • Numerical Analysis and Applications, NNA 2000 (L. Vulkov, J. Wasviewski, P. Yalamov eds.)
    • F. Chaitin-Chatelin, E. Traviesas and L. Plantié. Understanding Krylov methods in finite precision in Numerical Analysis and Applications, NNA 2000 (L. Vulkov, J. Wasviewski, P. Yalamov eds.), Springer Verlag Lectures Notes in CS, vol. 1988, pp. 187-197, 2000.
    • (2000) Springer Verlag Lectures Notes in CS , vol.1988 , pp. 187-197
    • Chaitin-Chatelin, F.1    Traviesas, E.2    Plantié, L.3
  • 17
    • 33645630140 scopus 로고    scopus 로고
    • Comprendre les méthodes de Krylov en précision finie : Le programme du Groupe Qualitative Computing au CERFACS
    • CERFACS, Toulouse, France
    • F. Chaitin-Chatelin. Comprendre les méthodes de Krylov en précision finie : le programme du Groupe Qualitative Computing au CERFACS. Technical Report TR/PA/00/11, CERFACS, Toulouse, France, 2000.
    • (2000) Technical Report TR/PA/00/11
    • Chaitin-Chatelin, F.1
  • 18
    • 33645624456 scopus 로고    scopus 로고
    • Inner-outer iterations for mode solver in structural mechanics: Application to the Code-Aster
    • CERFACS, Toulouse, France
    • F. Chaitin-Chatelin and T. Meškauskas. Inner-outer iterations for mode solver in structural mechanics: application to the Code-Aster. Contract Report FR/PA/02/56, CERFACS, Toulouse, France, 2002.
    • (2002) Contract Report FR/PA/02/56
    • Chaitin-Chatelin, F.1    Meškauskas, T.2
  • 20
    • 33645616603 scopus 로고    scopus 로고
    • The dynamics of matrix coupling with an application to Krylov methods
    • CERFACS, Toulouse, France
    • F. Chaitin-Chatelin. The dynamics of matrix coupling with an application to Krylov methods. Technical Report TR/PA/04/29, CERFACS, Toulouse, France, 2004.
    • (2004) Technical Report TR/PA/04/29
    • Chaitin-Chatelin, F.1
  • 21
    • 0031497208 scopus 로고    scopus 로고
    • On the Lidskii-Lyusternik-Vishik perturbation theory for eigenvalues with arbitrary jordan structure
    • J. Moro, J.V. Burke and M.L. Overton, On the Lidskii-Lyusternik-Vishik Perturbation Theory for Eigenvalues with Arbitrary Jordan Structure. SIAM J. Matrix Anal. Appl. 18 (1997), pp. 793-817.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 793-817
    • Moro, J.1    Burke, J.V.2    Overton, M.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.