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Volumn 30, Issue , 2008, Pages 144-167

A parallel QR-factorization/solver of quasiseparable matrices

Author keywords

Parallel QR factorization; Quasiseparable matrix; Structured rank matrices

Indexed keywords

FACTORIZATION; LINEAR TRANSFORMATIONS; PARALLEL PROCESSING SYSTEMS;

EID: 58449109710     PISSN: None     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (22)
  • 2
    • 22744450946 scopus 로고    scopus 로고
    • On the shifted QR iteration applied to companion matrices
    • D. A. BINI, F. DADDI, AND L. GEMIGNANI, On the shifted QR iteration applied to companion matrices, Electron. Trans. Numer. Anal., 18 (2004), pp. 137-152. http://etna.math.kent.edu/vol.18.2004/ pp137-152.dir/pp137-152.html.
    • (2004) Electron. Trans. Numer. Anal , vol.18 , pp. 137-152
    • BINI, D.A.1    DADDI, F.2    GEMIGNANI, L.3
  • 3
    • 84945293237 scopus 로고    scopus 로고
    • Fair stable solver for sequentially semi-separable linear systems of equations
    • High Performance Computing-HiPC 2002, 9th International Conference Bangalore, India, December 18-21, 2002 Proceedings, S. Sahni, V. K. Prasanna, and U. Shukla, eds, Springer, Berlin
    • S. CHANDRASEKARAN, P. DEWILDE, M. GU, T. PALS, AND A.-J. VAN DER VEEN, Fair stable solver for sequentially semi-separable linear systems of equations, in High Performance Computing-HiPC 2002, 9th International Conference Bangalore, India, December 18-21, 2002 Proceedings, S. Sahni, V. K. Prasanna, and U. Shukla, eds., Lecture Notes in Comput. Sci., Vol. 2552, Springer, Berlin, 2002, pp. 545-554.
    • (2002) Lecture Notes in Comput. Sci , vol.2552 , pp. 545-554
    • CHANDRASEKARAN, S.1    DEWILDE, P.2    GU, M.3    PALS, T.4    VAN DER VEEN, A.-J.5
  • 4
    • 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
  • 5
    • 58449100316 scopus 로고    scopus 로고
    • Tech. Rep. TW459, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven Heverlee, Belgium, May
    • S. DELVAUX AND M. VAN BAREL, The explicit QR-algorithm for rank structured matrices, Tech. Rep. TW459, Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3000 Leuven (Heverlee), Belgium, May 2006.
    • (2006) The explicit QR-algorithm for rank structured matrices
    • DELVAUX, S.1    VAN BAREL, M.2
  • 7
    • 37549005595 scopus 로고    scopus 로고
    • Eigenvalue computation for unitary rank structured matrices
    • -, Eigenvalue computation for unitary rank structured matrices, J. Comput. Appl. Math. 213 (2008), pp. 268-287.
    • (2008) J. Comput. Appl. Math , vol.213 , pp. 268-287
    • DELVAUX, S.1    VAN BAREL, M.2
  • 9
    • 0034402712 scopus 로고    scopus 로고
    • Inner-outer factorization and the inversion of locally finite systems of equations
    • -, Inner-outer factorization and the inversion of locally finite systems of equations, Linear Algebra Appl., 313 (2000), pp. 53-100.
    • (2000) Linear Algebra Appl , vol.313 , pp. 53-100
    • DEWILDE, P.1    VAN DER VEEN, A.-J.2
  • 11
    • 31244431952 scopus 로고    scopus 로고
    • A modification of the Dewilde-van der Veen method for inversion of finite structured matrices
    • -, 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
  • 12
    • 20344378938 scopus 로고    scopus 로고
    • The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order
    • Y. EIDELMAN, I. C. GOHBERG, AND V. OLSHEVSKY, The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order, Linear Algebra Appl., 404 (2005), pp. 305-324.
    • (2005) Linear Algebra Appl , vol.404 , pp. 305-324
    • EIDELMAN, Y.1    GOHBERG, I.C.2    OLSHEVSKY, V.3
  • 13
    • 0004236492 scopus 로고    scopus 로고
    • Third ed, The Johns Hopkins University Press, Baltimore, MD
    • G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, Third ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
    • (1996) Matrix Computations
    • GOLUB, G.H.1    VAN LOAN, C.F.2
  • 17
    • 1442314109 scopus 로고    scopus 로고
    • Two fast algorithms for solving diagonal-plus-semiseparable linear systems
    • E. VAN CAMP, N. MASTRONARDI, AND M. VAN BAREL, Two fast algorithms for solving diagonal-plus-semiseparable 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
  • 18
    • 11144351655 scopus 로고    scopus 로고
    • A QR-method for computing the singular values via semiseparable matrices
    • R. VANDEBRLL, M. VAN BAREL, AND N. MASTRONARDI, A QR-method for computing the singular values via semiseparable matrices, Numer. Math., 99 (2004), pp. 163-195.
    • (2004) Numer. Math , vol.99 , pp. 163-195
    • VANDEBRLL, R.1    VAN BAREL, M.2    MASTRONARDI, N.3
  • 22
    • 0010746746 scopus 로고
    • The lower order of lower triangular operators and minimal rank extensions
    • H. J. WOERDEMAN, The lower order of lower triangular operators and minimal rank extensions. Integral Equations Operator Theory, 10 (1987), pp. 859-879.
    • (1987) Integral Equations Operator Theory , vol.10 , pp. 859-879
    • WOERDEMAN, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.