메뉴 건너뛰기




Volumn 96, Issue 2, 1999, Pages 237-257

Matrix Continued Fractions

Author keywords

Approximants; Continued fractions; Matrix orthogonality; P fractions; Pad approximants and vector Pad ; Shohat Favard theorem

Indexed keywords


EID: 0000374828     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3232     Document Type: Article
Times cited : (29)

References (11)
  • 1
    • 0004063430 scopus 로고
    • Padé-Type Approximation and General Orthogonal Polynomials
    • Birkhäuser Verlag, Basel
    • C. Brezinski, "Padé-Type Approximation and General Orthogonal Polynomials," International Series of Numbrical Mathematics, Vol. 50, Birkhäuser Verlag, Basel, 1980.
    • (1980) International Series of Numbrical Mathematics , vol.50
    • Brezinski, C.1
  • 2
    • 84974271409 scopus 로고
    • The interruption phenomenon for generalized continued fractions
    • M. G. de Bruin, The interruption phenomenon for generalized continued fractions, Bull. Aust. Math. Soc. 19 (1978), 245-272.
    • (1978) Bull. Aust. Math. Soc. , vol.19 , pp. 245-272
    • De Bruin, M.G.1
  • 4
    • 0001217669 scopus 로고
    • A uniform approach for Hermite-Padé and simultaneous Padé approximants and their matrix type generalization
    • G. Labahn and B. Beckermann, A uniform approach for Hermite-Padé and simultaneous Padé approximants and their matrix type generalization, Numer. Algorithms 3 (1992), 45-54.
    • (1992) Numer. Algorithms , vol.3 , pp. 45-54
    • Labahn, G.1    Beckermann, B.2
  • 5
    • 0000479215 scopus 로고
    • The Jacobi-Perron algorithm and simultaneous approximation of functions
    • V. K. Parusnikov, The Jacobi-Perron algorithm and simultaneous approximation of functions, Math. Sbornik 42 (1982), 287-296.
    • (1982) Math. Sbornik , vol.42 , pp. 287-296
    • Parusnikov, V.K.1
  • 6
    • 0003357940 scopus 로고
    • Rational Approximations and Orthogonality
    • Amer. Math. Soc., Providence, RI
    • A. M. Nikishin and V. N. Sorokin, "Rational Approximations and Orthogonality," Translation of Mathematic Monographs, Vol. 92, Amer. Math. Soc., Providence, RI, 1991.
    • (1991) Translation of Mathematic Monographs , vol.92
    • Nikishin, A.M.1    Sorokin, V.N.2
  • 7
    • 0346893304 scopus 로고
    • Algorithme de Jacobi-Perron dans un corps de series formelles
    • R. Paysant Le Roux and E. Dubois, Algorithme de Jacobi-Perron dans un corps de series formelles, C. R. Acad. Sci. Paris 272 (1971), 564-566.
    • (1971) C. R. Acad. Sci. Paris , vol.272 , pp. 564-566
    • Paysant Le Roux, R.1    Dubois, E.2
  • 9
    • 0031184846 scopus 로고    scopus 로고
    • Algebraic aspects of matrix orthogonality for vector polynomials
    • V. N. Sorokin and J. Van Iseghem, Algebraic aspects of matrix orthogonality for vector polynomials, J. Approx. Theory 90 (1997), 97-116.
    • (1997) J. Approx. Theory , vol.90 , pp. 97-116
    • Sorokin, V.N.1    Van Iseghem, J.2
  • 10
    • 0023378740 scopus 로고
    • Vector orthogonal relations, vector QD-algorithm
    • J. Van Iseghem, Vector orthogonal relations, vector QD-algorithm, J. Comput. Appl. Math. 19 (1987), 141-150.
    • (1987) J. Comput. Appl. Math. , vol.19 , pp. 141-150
    • Van Iseghem, J.1
  • 11
    • 0347524001 scopus 로고
    • De la méthode générale pour réduire toutes sortes de quantités en fractions continues
    • B. Viscovatov, De la méthode générale pour réduire toutes sortes de quantités en fractions continues, Mém. Acad. Impériale Sci. St.-Petersburg 1 (1803-08), 226-247.
    • (1803) Mém. Acad. Impériale Sci. St.-Petersburg , vol.1 , pp. 226-247
    • Viscovatov, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.