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Volumn 30, Issue 2, 2008, Pages 464-490

A QR-based solver for rank structured matrices

Author keywords

Givens weight representation; Linear system solution; QR factorization; Rank structured matrix; Structure inheritance

Indexed keywords

GIVENS-WEIGHT REPRESENTATION; LINEAR SYSTEM SOLUTION; QR-FACTORIZATION; RANK STRUCTURED MATRIX; STRUCTURE INHERITANCE;

EID: 52949139479     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/060654979     Document Type: Article
Times cited : (19)

References (12)
  • 1
    • 1442333998 scopus 로고    scopus 로고
    • Fast and stable algorithms for banded plus semiseparable systems of linear equations
    • S. CHANDRASEKARAN and M. GU, Fast and stable algorithms for banded plus semiseparable systems of linear equations, SIAM J. Matrix Anal. Appl., 25 (2003), pp. 373-384.
    • (2003) SIAM J. Matrix Anal. Appl , vol.25 , pp. 373-384
    • CHANDRASEKARAN, S.1    GU, M.2
  • 2
    • 84945293237 scopus 로고    scopus 로고
    • S. CHANDRASEKARAN, P. DEWILDE, M. GU. T. PALS, and A.-J. VAN DER VEEN, Fast stable solver for sequentially semi-separable linear systems of equations, in High Performance Computing-HiPC 2002, Lecture Notes in Comput. Sci. 2552, Springer, Berlin, 2002, pp. 545-554.
    • S. CHANDRASEKARAN, P. DEWILDE, M. GU. T. PALS, and A.-J. VAN DER VEEN, Fast stable solver for sequentially semi-separable linear systems of equations, in High Performance Computing-HiPC 2002, Lecture Notes in Comput. Sci. 2552, Springer, Berlin, 2002, pp. 545-554.
  • 3
    • 67649146982 scopus 로고    scopus 로고
    • A Givens-Weight Representation for Rank Structured Matrices
    • Technical report TW453, Department of Computer Science, Katholieke Universiteit Leuven, Leuven Heverlee, Belgium
    • S. DELVAUX and M. VAN BAREL, A Givens-Weight Representation for Rank Structured Matrices, Technical report TW453, Department of Computer Science, Katholieke Universiteit Leuven, Leuven (Heverlee), Belgium, 2006.
    • (2006)
    • DELVAUX, S.1    VAN BAREL, M.2
  • 4
    • 31544452773 scopus 로고    scopus 로고
    • Rank structures preserved by the QR-algorithm: The singular case
    • S. DELVAUX AND M. VAN BAREL, Rank structures preserved by the QR-algorithm: The singular case, J. Comput. Appl. Math., 189 (2006), pp. 157-178.
    • (2006) J. Comput. Appl. Math , vol.189 , pp. 157-178
    • DELVAUX, S.1    VAN BAREL, M.2
  • 5
    • 27344459494 scopus 로고    scopus 로고
    • Structures preserved by the QR-algorithm
    • S. DELVAUX and M. VAN BAREL, Structures preserved by the QR-algorithm, J. Comput. Appl. Math., 187 (2006), pp. 29-40.
    • (2006) J. Comput. Appl. Math , vol.187 , pp. 29-40
    • DELVAUX, S.1    VAN BAREL, M.2
  • 6
    • 67649153253 scopus 로고    scopus 로고
    • P. DEWILDE and A.-J. VAN DER VEEN, Time-Varying Systems and Computations, Kluwer Academic Publishers, Boston, 1998.
    • P. DEWILDE and A.-J. VAN DER VEEN, Time-Varying Systems and Computations, Kluwer Academic Publishers, Boston, 1998.
  • 7
    • 0043198799 scopus 로고    scopus 로고
    • Fast inversion algorithms for a class of block structured matrices
    • Y. EIDELMAN AND I. C. GOHBERG, Fast inversion algorithms for a class of block structured matrices, Contemp. Math., 281 (2001), pp. 17-38.
    • (2001) Contemp. Math , vol.281 , pp. 17-38
    • EIDELMAN, Y.1    GOHBERG, I.C.2
  • 8
    • 31244431952 scopus 로고    scopus 로고
    • A modification of the Dewilde-van der Veen method for inversion of finite structured matrices
    • Y. EIDELMAN and I. C. GOHBERG, A modification of the Dewilde-van der Veen method for inversion of finite structured matrices, Linear Algebra Appl., 343-344 (2002), pp. 419-450.
    • (2002) Linear Algebra Appl , vol.343-344 , pp. 419-450
    • EIDELMAN, Y.1    GOHBERG, I.C.2
  • 9
    • 0042090490 scopus 로고    scopus 로고
    • Fast inversion algorithms for a class of structured operator matrices
    • Y. EIDELMAN and I. C. GOHBERG, Fast inversion algorithms for a class of structured operator matrices, Linear Algebra Appl., 371 (2003), pp. 153-190.
    • (2003) Linear Algebra Appl , vol.371 , pp. 153-190
    • EIDELMAN, Y.1    GOHBERG, I.C.2
  • 11
    • 1442314109 scopus 로고    scopus 로고
    • Two fast algorithms for solving diagonalplus-semisepamble linear systems
    • E. VAN CAMP, N. MASTRONARDI. and M. VAN BAREL, Two fast algorithms for solving diagonalplus-semisepamble linear systems, J. Comput. Appl. Math., 164-165 (2004), pp. 731-747.
    • (2004) J. Comput. Appl. Math , vol.164-165 , pp. 731-747
    • VAN CAMP, E.1    MASTRONARDI, N.2    VAN BAREL, M.3
  • 12
    • 26644435288 scopus 로고    scopus 로고
    • A note on the representation and definition of semiseparable matrices
    • R. VANDEBRIL, M. VAN BAREL, and N. MASTRONARDI, A note on the representation and definition of semiseparable matrices, Numer. Linear Algebra Appl., 12 (2005), pp. 839-858.
    • (2005) Numer. Linear Algebra Appl , vol.12 , pp. 839-858
    • VANDEBRIL, R.1    VAN BAREL, M.2    MASTRONARDI, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.