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Volumn 148, Issue 2, 2002, Pages 349-361

A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on [0, 1] and [0, ∞)

Author keywords

Chain sequence; Matrix measure; Matrix moments; Orthogonal polynomials; Q d algorithm

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; FUNCTIONS; MATRIX ALGEBRA;

EID: 0037113762     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00555-1     Document Type: Article
Times cited : (8)

References (22)
  • 3
    • 84943620865 scopus 로고    scopus 로고
    • Matrix measures, moment spaces and Favard's theorem for the interval [0, 1] and [0, ∞)
    • H. Dette, W.J. Studden, Matrix measures, moment spaces and Favard's theorem for the interval [0, 1] and [0, ∞), Linear Algebra Appl. 345 (2001) 169-193.
    • (2001) Linear Algebra Appl. , vol.345 , pp. 169-193
    • Dette, H.1    Studden, W.J.2
  • 4
    • 0003116004 scopus 로고
    • On orthogonal polynomials with respect to a positive definite matrix of measures
    • A.J. Duran, On orthogonal polynomials with respect to a positive definite matrix of measures, Canad. J. Math. 47 (1995) 88-112.
    • (1995) Canad. J. Math. , vol.47 , pp. 88-112
    • Duran, A.J.1
  • 5
    • 0030354029 scopus 로고    scopus 로고
    • Markov's theorem for orthogonal matrix polynomials
    • A.J. Duran, Markov's theorem for orthogonal matrix polynomials, Canad. J. math. 48 (1996) 1180-1195.
    • (1996) Canad. J. Math. , vol.48 , pp. 1180-1195
    • Duran, A.J.1
  • 6
    • 0000169130 scopus 로고    scopus 로고
    • Ratio asymptotics for orthogonal matrix polynomials
    • A.J. Duran, Ratio asymptotics for orthogonal matrix polynomials, J. Approx. Theory 100 (1999) 304-344.
    • (1999) J. Approx. Theory , vol.100 , pp. 304-344
    • Duran, A.J.1
  • 7
    • 0029692953 scopus 로고    scopus 로고
    • Orthogonal matrix polynomials: Zeros and Blumenthal's theorem
    • A.J. Duran, P. Lopez-Rodriguez, Orthogonal matrix polynomials: zeros and Blumenthal's theorem J. Approx. Theory 84 (1996) 96-118.
    • (1996) J. Approx. Theory , vol.84 , pp. 96-118
    • Duran, A.J.1    Lopez-Rodriguez, P.2
  • 8
    • 0031536466 scopus 로고    scopus 로고
    • Density questions for the truncated matrix moment problem
    • A.J. Duran, P. Lopez-Rodriguez, Density questions for the truncated matrix moment problem, Canad. J. Math. 49 (1997) 708-721.
    • (1997) Canad. J. Math. , vol.49 , pp. 708-721
    • Duran, A.J.1    Lopez-Rodriguez, P.2
  • 9
    • 21844504483 scopus 로고
    • Orthogonal matrix polynomials and higher-order recurrence relations
    • A.J. Duran, W. Van Assche, Orthogonal matrix polynomials and higher-order recurrence relations, Linear Algebra Appl. 219 (1995) 261-280.
    • (1995) Linear Algebra Appl. , vol.219 , pp. 261-280
    • Duran, A.J.1    Van Assche, W.2
  • 11
    • 0003018499 scopus 로고
    • Laguerre matrix polynomials and systems of second-order differential equations
    • L. Jódar, R. Company, E. Navarro, Laguerre matrix polynomials and systems of second-order differential equations, Appl. Num. Math. 15 (1994) 53-63.
    • (1994) Appl. Num. Math. , vol.15 , pp. 53-63
    • Jódar, L.1    Company, R.2    Navarro, E.3
  • 12
  • 13
    • 0012840374 scopus 로고    scopus 로고
    • Some properties of Gamma and Beta function
    • L. Jódar, R.J.C. Cortéz, Some properties of Gamma and Beta function, Appl. Math. Lett. 11 (1998b) 89-93.
    • (1998) Appl. Math. Lett. , vol.11 , pp. 89-93
    • Jódar, L.1    Cortéz, R.J.C.2
  • 14
    • 0012782691 scopus 로고    scopus 로고
    • On the growth of Laguerre matrix polynomials on bounded intervals
    • L. Jódar, R.J. Sastre, On the growth of Laguerre matrix polynomials on bounded intervals, Appl. Math. Lett. 13 (2000) 21-26.
    • (2000) Appl. Math. Lett. , vol.13 , pp. 21-26
    • Jódar, L.1    Sastre, R.J.2
  • 16
    • 0012880861 scopus 로고
    • Orthogonal matrix polynomials
    • P. Nevai (Ed.), NATO ASI Series C, Kluwer, Dordrecht
    • L. Rodman, Orthogonal matrix polynomials, in: P. Nevai (Ed.), Orthogonal Polynomials: Theory and Practice, NATO ASI Series C, Vol. 295, Kluwer, Dordrecht, 1990.
    • (1990) Orthogonal Polynomials: Theory and Practice , vol.295
    • Rodman, L.1
  • 17
    • 21344488579 scopus 로고
    • Polynomial interpolation and Gaussian quadrature for matrix-valued functions
    • A. Sinap, W. Van Assche, Polynomial interpolation and Gaussian quadrature for matrix-valued functions, Linear Algebra Appl. 207 (1994) 71-114.
    • (1994) Linear Algebra Appl. , vol.207 , pp. 71-114
    • Sinap, A.1    Van Assche, W.2
  • 18
    • 0029712604 scopus 로고    scopus 로고
    • Orthogonal matrix polynomials and applications
    • A. Sinap, W. Van Assche, Orthogonal matrix polynomials and applications, J. Comput. Appl. Math. 66 (1996) 27-52.
    • (1996) J. Comput. Appl. Math. , vol.66 , pp. 27-52
    • Sinap, A.1    Van Assche, W.2
  • 19
    • 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
  • 20
    • 38249026215 scopus 로고
    • Convergence of the vector QD-algorithm, zeros of vector orthogonal polynomials
    • J. Van Iseghem, Convergence of the vector QD-algorithm, Zeros of vector orthogonal polynomials, J. Comput. Appl. Math. 25 (1) (1989) 33-46.
    • (1989) J. Comput. Appl. Math. , vol.25 , Issue.1 , pp. 33-46
    • Van Iseghem, J.1
  • 22
    • 0002867947 scopus 로고
    • Weak convergence of orthogonal polynomials
    • W. Van Assche, Weak convergence of orthogonal polynomials, Indag. Math. 6 (1995) 7-23.
    • (1995) Indag. Math. , vol.6 , pp. 7-23
    • Van Assche, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.