메뉴 건너뛰기




Volumn 189, Issue 1-2, 2006, Pages 580-591

On computing the eigenvectors of a class of structured matrices

Author keywords

Eigenvalues; Eigenvectors; Semiseparable matrix; Symmetric matrix; Tridiagonal matrix

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; ITERATIVE METHODS; MATRIX ALGEBRA; SET THEORY; SPECTRUM ANALYSIS;

EID: 31544457051     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.03.048     Document Type: Conference Paper
Times cited : (5)

References (14)
  • 1
    • 84867949361 scopus 로고    scopus 로고
    • The orthogonal Rayleigh quotient iteration (ORQI) method
    • A. Dax The orthogonal Rayleigh quotient iteration (ORQI) method Linear Algebra Appl. 358 1-3 2003 23 43
    • (2003) Linear Algebra Appl. , vol.358 , Issue.13 , pp. 23-43
    • Dax, A.1
  • 3
    • 0348229160 scopus 로고    scopus 로고
    • Current inverse iteration software can fail
    • I.S. Dhillon Current inverse iteration software can fail BIT 38 4 1998 685 704
    • (1998) BIT , vol.38 , Issue.4 , pp. 685-704
    • Dhillon, I.S.1
  • 4
    • 33144467012 scopus 로고    scopus 로고
    • Inner deflation of symmetric, tridiagonal matrices
    • I.S. Dhillon, and A.N. Malyshev Inner deflation of symmetric, tridiagonal matrices Linear Algebra Appl. 358 1-3 2003 139 144
    • (2003) Linear Algebra Appl. , vol.358 , Issue.1-3 , pp. 139-144
    • Dhillon, I.S.1    Malyshev, A.N.2
  • 5
    • 2942522546 scopus 로고    scopus 로고
    • Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices
    • I.S. Dhillon, and B.N. Parlett Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices Linear Algebra Appl. 387 2004 1 28
    • (2004) Linear Algebra Appl. , vol.387 , pp. 1-28
    • Dhillon, I.S.1    Parlett, B.N.2
  • 6
    • 2942514399 scopus 로고    scopus 로고
    • Orthogonal eigenvectors and relative gaps
    • I.S. Dhillon, and B.N. Parlett Orthogonal eigenvectors and relative gaps SIAM J. Matrix Anal. Appl. 25 3 2004 858 899
    • (2004) SIAM J. Matrix Anal. Appl. , vol.25 , Issue.3 , pp. 858-899
    • Dhillon, I.S.1    Parlett, B.N.2
  • 7
    • 0004236492 scopus 로고
    • second ed The Johns Hopkins University Press Baltimore, MD
    • G.H. Golub, and C.F. Van Loan Matrix Computations second ed 1989 The Johns Hopkins University Press Baltimore, MD
    • (1989) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 8
    • 14544308440 scopus 로고    scopus 로고
    • Convergence of GMRES for tridiagonal toeplitz matrices
    • J. Liesen, and Z. Strakos Convergence of GMRES for tridiagonal toeplitz matrices SIAM J. Matrix Anal. Appl. 26 1 2004 233 251
    • (2004) SIAM J. Matrix Anal. Appl. , vol.26 , Issue.1 , pp. 233-251
    • Liesen, J.1    Strakos, Z.2
  • 10
    • 0039504477 scopus 로고    scopus 로고
    • Fernando's solution to Wilkinson's problem: An application of double factorization
    • B.N. Parlett, and I.S. Dhillon Fernando's solution to Wilkinson's problem: an application of double factorization Linear Algebra Appl. 267 1997 247 279
    • (1997) Linear Algebra Appl. , vol.267 , pp. 247-279
    • Parlett, B.N.1    Dhillon, I.S.2
  • 11
    • 26044477487 scopus 로고    scopus 로고
    • On computing of arbitrary positive integer powers for one type of symmetric tridiagonal of even order-I
    • in press
    • J. Rimas, On computing of arbitrary positive integer powers for one type of symmetric tridiagonal of even order-I, Appl. Math. Comput., in press.
    • Appl. Math. Comput.
    • Rimas, J.1
  • 12
    • 31544444185 scopus 로고    scopus 로고
    • The Lanczos-Ritz values appearing in an orthogonal similarity reduction of a matrix into semiseparable form, Report TW 360, Department of Computer Science, Katholieke Universiteit Leuven, Belgium in press
    • M. Van Barel, R. Vandebril, N. Mastronardi, The Lanczos-Ritz values appearing in an orthogonal similarity reduction of a matrix into semiseparable form, Report TW 360, Department of Computer Science, Katholieke Universiteit Leuven, Belgium, 2003, SIAM J. Matrix Anal. Appl., in press.
    • (2003) SIAM J. Matrix Anal. Appl.
    • Van Barel, M.1    Vandebril, R.2    Mastronardi, N.3
  • 13
    • 31544439152 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, Katholieke Universiteit Leuven, Belgium, August on-line
    • R. Vandebril, M. Van Barel, N. Mastronardi, An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices, Report TW 367, Department of Computer Science, Katholieke Universiteit Leuven, Belgium, August 2003. Numer. Linear Algebr. on-line.
    • (2003) Numer. Linear Algebr.
    • Vandebril, R.1    Van Barel, M.2    Mastronardi, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.