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Volumn 275-276, Issue , 1998, Pages 537-549

Inversion formulas and fast algorithms for Löwner-Vandermonde matrices

Author keywords

Fast algorithm; L wner Vandermonde matrices

Indexed keywords


EID: 17444438435     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)10011-8     Document Type: Article
Times cited : (3)

References (19)
  • 1
    • 0040761796 scopus 로고
    • An inversion formula and fast algorithm for Cauchy-Vandermonde matrices
    • T. Finck, G. Heinig, K. Rost, An inversion formula and fast algorithm for Cauchy-Vandermonde matrices, Linear Algebra Appl. 183 (1993) 179-191.
    • (1993) Linear Algebra Appl. , vol.183 , pp. 179-191
    • Finck, T.1    Heinig, G.2    Rost, K.3
  • 2
    • 0041164730 scopus 로고
    • Fast inversion of Cauchy-Vandermonde matrices
    • Weierstraß Institut, Berlin
    • T. Finck, K. Rost, Fast inversion of Cauchy-Vandermonde matrices, Seminar Analysis: Oper. Equ. Num. Anal., Weierstraß Institut, Berlin, 1989/1990, pp. 69-79.
    • (1989) Seminar Analysis: Oper. Equ. Num. Anal. , pp. 69-79
    • Finck, T.1    Rost, K.2
  • 3
    • 21844492249 scopus 로고    scopus 로고
    • Recursive solution of Löwner-Vandermonde systems of equations. I
    • K. Rost, Z. Vavřín, Recursive solution of Löwner-Vandermonde systems of equations. I, Linear Algebra Appl. 233 (1996) 51-65.
    • (1996) Linear Algebra Appl. , vol.233 , pp. 51-65
    • Rost, K.1    Vavřín, Z.2
  • 4
    • 21844515240 scopus 로고
    • Recursive solution of Löwner-Vandermonde systems of equations. II
    • K. Rost, Z. Vavřín, Recursive solution of Löwner-Vandermonde systems of equations. II, Linear Algebra Appl. 223/224 (1995) 597-617.
    • (1995) Linear Algebra Appl. , vol.223-224 , pp. 597-617
    • Rost, K.1    Vavřín, Z.2
  • 6
    • 34250967722 scopus 로고
    • Über monotone matrixfunktionen
    • K. Löwner, Über monotone Matrixfunktionen, Math. Z. 38 (1934) 177-216.
    • (1934) Math. Z. , vol.38 , pp. 177-216
    • Löwner, K.1
  • 7
    • 0014867421 scopus 로고
    • Interpolation matrices
    • V. Belevitch, Interpolation matrices, Philips Res. Rep. 25 (1970) 337-369.
    • (1970) Philips Res. Rep. , vol.25 , pp. 337-369
    • Belevitch, V.1
  • 10
    • 0001883973 scopus 로고
    • Hankel and Löwner matrices
    • M. Fiedler, Hankel and Löwner matrices, Linear Algebra Appl. 58 (1984) 75-95.
    • (1984) Linear Algebra Appl. , vol.58 , pp. 75-95
    • Fiedler, M.1
  • 12
    • 0040027705 scopus 로고
    • A unified approach to Löwner and Hankel matrices
    • Z. Vavřín, A unified approach to Löwner and Hankel matrices, Linear Algebra Appl. 143 (1991) 171-222.
    • (1991) Linear Algebra Appl. , vol.143 , pp. 171-222
    • Vavřín, Z.1
  • 14
    • 0042181687 scopus 로고
    • Invertierung einiger klassen von matrizen und operatoren
    • TH Karl-Marx-Stadt
    • G. Heinig, K. Rost, Invertierung einiger Klassen von Matrizen und Operatoren, Wissenschaftliche Informationen 12, TH Karl-Marx-Stadt, 1979.
    • (1979) Wissenschaftliche Informationen , vol.12
    • Heinig, G.1    Rost, K.2
  • 16
    • 0017951648 scopus 로고
    • Displacement ranks of matrices and linear equations
    • T. Kailath, S. Kung, M. Morf, Displacement ranks of matrices and linear equations, J. Math. Anal. Appl. 68 (1979) 395-407.
    • (1979) J. Math. Anal. Appl. , vol.68 , pp. 395-407
    • Kailath, T.1    Kung, S.2    Morf, M.3
  • 17
    • 0000665794 scopus 로고
    • Displacement structure: Theory and applications
    • T. Kailath, A.H. Sayed, Displacement structure: Theory and applications, SIAM Rev. 37 (1995) 386-397.
    • (1995) SIAM Rev. , vol.37 , pp. 386-397
    • Kailath, T.1    Sayed, A.H.2
  • 19
    • 0011615032 scopus 로고
    • Inverses of Löwner matrices
    • Z. Vavřín, Inverses of Löwner matrices, Linear Algebra Appl. 63 (1984) 227-236.
    • (1984) Linear Algebra Appl. , vol.63 , pp. 227-236
    • Vavřín, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.