메뉴 건너뛰기




Volumn 156, Issue 2, 2003, Pages 285-302

On the generalized ADI method for the matrix equation X - AXB = C

Author keywords

ADI method; Matrix equation; Rational approximation; Remes algorithm

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; MATRIX ALGEBRA;

EID: 0042843301     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00917-2     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 0001868848 scopus 로고
    • On interpolation by rational functions
    • Bagby T. On interpolation by rational functions Duke J. Math. 36 1969 95-104
    • (1969) Duke J. Math. , vol.36 , pp. 95-104
    • Bagby, T.1
  • 3
    • 0030532987 scopus 로고    scopus 로고
    • Application of ADI iterative methods to the restoration of noisy images
    • Calvetti D. Reichel L. Application of ADI iterative methods to the restoration of noisy images SIAM J. Matrix Anal. Appl. 17 1996 165-186
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 165-186
    • Calvetti, D.1    Reichel, L.2
  • 4
    • 0026173848 scopus 로고
    • Alternating direction implicit iteration for systems with complex spectra
    • Ellner N.S. Wachspress E.L. Alternating direction implicit iteration for systems with complex spectra SIAM J. Numer. Anal. 28 1991 859-870
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 859-870
    • Ellner, N.S.1    Wachspress, E.L.2
  • 6
    • 0013430918 scopus 로고
    • On the third and fourth Zolotarev problems in the complex plane
    • Istace M.P. Thiran J.P. On the third and fourth Zolotarev problems in the complex plane SIAM J. Numer. Anal. 32 1995 249-259
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 249-259
    • Istace, M.P.1    Thiran, J.P.2
  • 7
    • 0032327363 scopus 로고    scopus 로고
    • Optimum parameters for the generalized ADI method
    • Le Bailly B. Thiran J.P. Optimum parameters for the generalized ADI method Numer. Math. 80 1998 377-395
    • (1998) Numer. Math. , vol.80 , pp. 377-395
    • Le Bailly, B.1    Thiran, J.P.2
  • 8
    • 0034548677 scopus 로고    scopus 로고
    • Optimum rational functions for the generalized Zolotarev problem in the complex plane
    • Le Bailly B. Thiran J.P. Optimum rational functions for the generalized Zolotarev problem in the complex plane SIAM J. Numer. Anal. 38 2000 1409-1424
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 1409-1424
    • Le Bailly, B.1    Thiran, J.P.2
  • 9
    • 21344481063 scopus 로고
    • A generalized ADI iterative method
    • Levengerg N. Reichel L. A generalized ADI iterative method Numer. Math. 66 1993 215-233
    • (1993) Numer. Math. , vol.66 , pp. 215-233
    • Levengerg, N.1    Reichel, L.2
  • 10
    • 21344498933 scopus 로고
    • Optimal ray sequences of rational functions connected with the Zolotarev problem
    • Erratum: Constr. Approx. Approx. 12 1996 437-438
    • Levin A.L. Saff E.B. Optimal ray sequences of rational functions connected with the Zolotarev problem Constr. Approx. 10 1994 235-273 Erratum: Constr. Approx. 12 (1996) 437-438
    • (1994) Constr. Approx. , vol.10 , pp. 235-273
    • Levin, A.L.1    Saff, E.B.2
  • 12
    • 0026239062 scopus 로고
    • Optimal alternating direction implicit parameters for nonsymmetric systems of linear equations
    • Starke G. Optimal alternating direction implicit parameters for nonsymmetric systems of linear equations SIAM J. Numer. Anal. 28 1991 1431-1445
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1431-1445
    • Starke, G.1
  • 13
    • 38249011870 scopus 로고
    • Near-circularity for the rational Zolotarev problem in the complex plane
    • Starke G. Near-circularity for the rational Zolotarev problem in the complex plane J. Approx. Theory 70 1992 115-130
    • (1992) J. Approx. Theory , vol.70 , pp. 115-130
    • Starke, G.1
  • 14
    • 38249001860 scopus 로고
    • Fejér-Walsh points for rational functions and their use in the ADI iterative method
    • Starke G. Fejér-Walsh points for rational functions and their use in the ADI iterative method J. Comput. Appl. Math. 46 1993 129-141
    • (1993) J. Comput. Appl. Math. , vol.46 , pp. 129-141
    • Starke, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.