메뉴 건너뛰기




Volumn 79, Issue 11, 2009, Pages 1419-1442

An extended QR-solver for large profiled matrices

Author keywords

Jacobi; Plate vibration; Preconditioning; QR algorithm; Structured matrix

Indexed keywords

JACOBI; PLATE VIBRATION; PRECONDITIONING; QR-ALGORITHM; STRUCTURED MATRIX;

EID: 69249127426     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2618     Document Type: Article
Times cited : (2)

References (27)
  • 6
    • 40749131323 scopus 로고    scopus 로고
    • The QR algorithm revisited
    • Watkins DS. The QR algorithm revisited. SIAM Review Archive 2008; 50:133-145.
    • (2008) SIAM Review Archive , vol.50 , pp. 133-145
    • Watkins, D.S.1
  • 12
    • 69249101394 scopus 로고
    • Numerical methods for large eigenvalue problems
    • Manchester University Press Series: Manchester
    • Saad Y. Numerical methods for large eigenvalue problems. Algorithms for Advanced Scientific Computing. Manchester University Press Series: Manchester, 1991.
    • (1991) Algorithms for Advanced Scientific Computing
    • Saad, Y.1
  • 13
    • 1342299960 scopus 로고    scopus 로고
    • Computational methods for large eigenvalue problems
    • Ciarlet RG, Lions JL (eds), North-Holland: Amsterdam
    • van der Vorst HA. Computational methods for large eigenvalue problems. In Handbook of Numerical Analysis, Ciarlet RG, Lions JL (eds), vol. 8. North-Holland: Amsterdam, 2002; 3-179.
    • (2002) Handbook of Numerical Analysis , vol.8 , pp. 3-179
    • van der Vorst, H.A.1
  • 21
    • 33746358332 scopus 로고
    • Convergence of the QR algorithm
    • Parlett BN. Convergence of the QR algorithm. Numerische Mathematik 1965; 7:187-193.
    • (1965) Numerische Mathematik , vol.7 , pp. 187-193
    • Parlett, B.N.1
  • 22
    • 0010699518 scopus 로고
    • On the convergence of the QR algorithm with origin shifts for normal matrices
    • Huang CP. On the convergence of the QR algorithm with origin shifts for normal matrices. Journal of Numerical Analysis 1981; 1:127-133.
    • (1981) Journal of Numerical Analysis , vol.1 , pp. 127-133
    • Huang, C.P.1
  • 23
    • 0000678479 scopus 로고
    • A new proof of global convergence for the tridiagonal QL algorithm
    • Hoffmann W, Parlett BN. A new proof of global convergence for the tridiagonal QL algorithm. Journal of Numerical Analysis 1978; 15:929-937.
    • (1978) Journal of Numerical Analysis , vol.15 , pp. 929-937
    • Hoffmann, W.1    Parlett, B.N.2
  • 24
    • 0036790288 scopus 로고    scopus 로고
    • Convergence of the shifted QR algorithm for unitary Hessenberg matrices
    • Wang TL, Gragg WB. Convergence of the shifted QR algorithm for unitary Hessenberg matrices. Mathematics of Computation 2001; 71:1473-1496.
    • (2001) Mathematics of Computation , vol.71 , pp. 1473-1496
    • Wang, T.L.1    Gragg, W.B.2
  • 26
    • 69249142391 scopus 로고    scopus 로고
    • Eine Methode zur vollständigen Bestimmung der Eigenzustände großer Profilmatrizen
    • Ph.D. Thesis, Technische Universität Berlin, Berlin
    • Ruess M. Eine Methode zur vollständigen Bestimmung der Eigenzustände großer Profilmatrizen. Ph.D. Thesis, Technische Universität Berlin, Berlin, 2005.
    • (2005)
    • Ruess, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.