메뉴 건너뛰기




Volumn 3044, Issue , 2004, Pages 932-941

On computing the spectral decomposition of symmetric arrowhead matrices

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS;

EID: 35048837088     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-24709-8_98     Document Type: Article
Times cited : (5)

References (10)
  • 1
    • 0039715485 scopus 로고
    • QR-like algorithms for symmetric arrow matrices
    • Arbenz, P., Golub, G.H.: QR-like algorithms for symmetric arrow matrices. SIAM J. Matrix Anal. Appl. 13 (1992) 655-658
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 655-658
    • Arbenz, P.1    Golub, G.H.2
  • 2
    • 0039923684 scopus 로고
    • A parallel divide and conquer algorithm for the generalized real symmetric definite tridiagonal eigenproblem
    • L. Reichel, A. Ruttan, and R. S. Varga, eds., de Gruyter, Berlin
    • Borges, C.F., Gragg, W.B.: A parallel divide and conquer algorithm for the generalized real symmetric definite tridiagonal eigenproblem. In Numerical Linear Algebra and Scientific Computing, L. Reichel, A. Ruttan, and R. S. Varga, eds., de Gruyter, Berlin (1993) 10-28
    • (1993) Numerical Linear Algebra and Scientific Computing , pp. 10-28
    • Borges, C.F.1    Gragg, W.B.2
  • 3
    • 1542403825 scopus 로고    scopus 로고
    • A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices
    • to appear
    • Chandrasekaran, S., Gu, M.: A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices. Numerische Mathematik (to appear)
    • Numerische Mathematik
    • Chandrasekaran, S.1    Gu, M.2
  • 4
    • 0000417182 scopus 로고
    • A fully parallel algorithm for the symmetric eigenvalue problem
    • Dongarra, J.J., Sorensen, D.C.: A fully parallel algorithm for the symmetric eigenvalue problem. SIAM J. Sei. Stat. Comput. 8 (1987) 139-154
    • (1987) SIAM J. Sei. Stat. Comput. , vol.8 , pp. 139-154
    • Dongarra, J.J.1    Sorensen, D.C.2
  • 5
    • 0001070999 scopus 로고
    • Some modified matrix eigenvalue problems
    • Golub, G.H.: Some modified matrix eigenvalue problems. SIAM Rev. 15 (1973) 328-334
    • (1973) SIAM Rev. , vol.15 , pp. 328-334
    • Golub, G.H.1
  • 6
    • 21844525426 scopus 로고
    • A stable and efficient algorithm for the rank-one modification of the symmetric eigenproblem
    • Gu, M., Eisenstat, S.C.: A stable and efficient algorithm for the rank-one modification of the symmetric eigenproblem. SIAM J. Matrix Anal. Appl. 15 (1994) 1266-1276.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 1266-1276
    • Gu, M.1    Eisenstat, S.C.2
  • 7
    • 21844526695 scopus 로고
    • A divide and conquer algorithm for the symmetric tridiagonal eigenproblem
    • Gu, M., Eisenstat, S.C.: A divide and conquer algorithm for the symmetric tridiagonal eigenproblem, SIAM J. Matrix Anal. Appl. 16 (1995) 172-191
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 172-191
    • Gu, M.1    Eisenstat, S.C.2
  • 8
    • 0040969900 scopus 로고
    • Parallel divide and conquer algorithms for the symmetric tridiagonal eigenproblem and bidiagonal singular value problem
    • W.G Vogt and M. H. Mickle, eds., 23 University of Pittsbuig School of Engineering, Pittsburg
    • Gragg, W.B., Thornton, J.R., Warner, D.D., Parallel divide and conquer algorithms for the symmetric tridiagonal eigenproblem and bidiagonal singular value problem. In Modelling and Simulation, W.G Vogt and M. H. Mickle, eds., 23 University of Pittsbuig School of Engineering, Pittsburg, (1992) 49-56
    • (1992) Modelling and Simulation , pp. 49-56
    • Gragg, W.B.1    Thornton, J.R.2    Warner, D.D.3
  • 9
    • 33645258037 scopus 로고    scopus 로고
    • Divide and Conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices
    • Mastronardi, N., Van Camp, E., Van Barel, M.: Divide and Conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. IAC-CNR Tech. Rep. 7 (2003)
    • (2003) IAC-CNR Tech. Rep. , vol.7
    • Mastronardi, N.1    Van Camp, E.2    Van Barel, M.3
  • 10
    • 38249017274 scopus 로고
    • Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices
    • submitted to Numer. Alg. 10. O'Leary, D.P., Stewart, G.W.: Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. J. Comp. Phys. 90 (1990) 497-505
    • (1990) J. Comp. Phys. , vol.90 , pp. 497-505
    • O'Leary, D.P.1    Stewart, G.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.