메뉴 건너뛰기




Volumn 2, Issue 3, 2005, Pages 259-275

An implicit Q theorem for Hessenberg-like matrices

Author keywords

Hessenberg like matrices; Implicit Q theorem; Inverse of Hessenberg matrices; Semiseparable matrices

Indexed keywords


EID: 27844453929     PISSN: 16605446     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00009-005-0043-9     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 0001050004 scopus 로고
    • ij = 0 for j > i + p
    • ij = 0 for j > i + p, Math. Scand., 7 (1959), 57-60.
    • (1959) Math. Scand. , vol.7 , pp. 57-60
    • Asplund, E.1
  • 2
    • 0001050004 scopus 로고
    • Finite boundary value problems solved by Green's matrix
    • S. O. Asplund, Finite boundary value problems solved by Green's matrix, Math. Scand., 7 (1959), 49-56.
    • (1959) Math. Scand. , vol.7 , pp. 49-56
    • Asplund, S.O.1
  • 4
    • 22744450946 scopus 로고    scopus 로고
    • On the shifted QR-iteration applied to Frobenius matrices
    • D. A. Bini, F. Daddi and L. Gemignani, On the shifted QR-iteration applied to Frobenius matrices, Electron. Trans. Numer. Anal., 18 (2004), 137-152.
    • (2004) Electron. Trans. Numer. Anal. , vol.18 , pp. 137-152
    • Bini, D.A.1    Daddi, F.2    Gemignani, L.3
  • 5
    • 11144294629 scopus 로고    scopus 로고
    • QR-like algorithms for generalized semi-separable matrices
    • Department of Mathematics, University of Pisa
    • D. A. Bini, L. Gemignani and V. Y. Pan, QR-like algorithms for generalized semi-separable matrices, Technical Report 1470, Department of Mathematics, University of Pisa, 2004.
    • (2004) Technical Report , vol.1470
    • Bini, D.A.1    Gemignani, L.2    Pan, V.Y.3
  • 6
    • 0034394306 scopus 로고    scopus 로고
    • Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices
    • S. Chandrasekaran and M. Gu, Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices, Linear Algebra Appl., 313 (2000), 107-114.
    • (2000) Linear Algebra Appl. , vol.313 , pp. 107-114
    • Chandrasekaran, S.1    Gu, M.2
  • 7
    • 1542403825 scopus 로고    scopus 로고
    • A divide and conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semi-separable matrices
    • S. Chandrasekaran and M. Gu, A divide and conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semi-separable matrices, Numer. Math., 96 (no. 4) (2004), 723-731.
    • (2004) Numer. Math. , vol.96 , Issue.4 , pp. 723-731
    • Chandrasekaran, S.1    Gu, M.2
  • 8
    • 0142077182 scopus 로고    scopus 로고
    • Structural and computational properties of possibly singular semiseparable matrices
    • D. Fasino and L. Gemignani, Structural and computational properties of possibly singular semiseparable matrices, Linear Algebra Appl., 340 (2001), 183-198.
    • (2001) Linear Algebra Appl. , vol.340 , pp. 183-198
    • Fasino, D.1    Gemignani, L.2
  • 9
    • 20344372250 scopus 로고    scopus 로고
    • Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form
    • D. Fasino, N. Mastronardi and M. Van Barel, Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form, Contemp. Math., 323 (2003), 105-118.
    • (2003) Contemp. Math. , vol.323 , pp. 105-118
    • Fasino, D.1    Mastronardi, N.2    Van Barel, M.3
  • 10
    • 38249042194 scopus 로고
    • Completing a matrix when certain entries of its inverse are specified
    • M. Fiedler and T. L. Markham, Completing a matrix when certain entries of its inverse are specified, Linear Algebra Appl., 74 (1986), 225-237.
    • (1986) Linear Algebra Appl. , vol.74 , pp. 225-237
    • Fiedler, M.1    Markham, T.L.2
  • 12
    • 17444364161 scopus 로고    scopus 로고
    • Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices
    • N. Mastronardi, M. Van Barel and E. Van Camp, Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices, Numer. Algorithms, 39 (no. 4) (2005), 379-398.
    • (2005) Numer. Algorithms , vol.39 , Issue.4 , pp. 379-398
    • Mastronardi, N.1    Van Barel, M.2    Van Camp, E.3
  • 13
    • 11144311774 scopus 로고    scopus 로고
    • The interplay of ranks of submatrices
    • G. Strang and T. Nguyen, The interplay of ranks of submatrices, SIAM Rev., 46 (no.4) (2004), 637-646.
    • (2004) SIAM Rev. , vol.46 , Issue.4 , pp. 637-646
    • Strang, G.1    Nguyen, T.2
  • 15
    • 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), 731-747.
    • (2004) J. Comput. Appl. Math. , vol.164-165 , pp. 731-747
    • Van Camp, E.1    Mastronardi, N.2    Van Barel, M.3
  • 16
    • 11144351583 scopus 로고    scopus 로고
    • An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices
    • report TW 367, Department of Computer Science, K.U.Leuven, Leuven, Belgium, August (to appear)
    • R. Vandebril, M. Van Barel and N. Mastronardi, An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices, report TW 367, Department of Computer Science, K.U.Leuven, Leuven, Belgium, August 2003, (to appear in Numer. Linear Algebra Appl.).
    • (2003) Numer. Linear Algebra Appl..
    • Vandebril, R.1    Van Barel, M.2    Mastronardi, N.3
  • 17
    • 26644435288 scopus 로고    scopus 로고
    • A note on the representation and definition of semiseparable matrices
    • report TW 393, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May (to appear)
    • R. Vandebril, M. Van Barel and N. Mastronardi, A note on the representation and definition of semiseparable matrices, report TW 393, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May 2004, (to appear in Numer. Linear Algebra Appl.).
    • (2004) Numer. Linear Algebra Appl.
    • Vandebril, R.1    Van Barel, M.2    Mastronardi, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.