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Volumn 355, Issue 1-3, 2002, Pages 119-146

Gaussian quadrature formulae for matrix weights

Author keywords

Gaussian quadrature formulas; Matrix of measures; Orthogonal matrix polynomials

Indexed keywords

INTEGER PROGRAMMING; MATHEMATICAL TRANSFORMATIONS; POLYNOMIAL APPROXIMATION; THEOREM PROVING; VECTORS;

EID: 1042283082     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(02)00316-6     Document Type: Article
Times cited : (22)

References (10)
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    • (1983) Mat. Sb. , vol.121 , pp. 327-358
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  • 2
    • 84956250802 scopus 로고
    • A.I. Aptekarev, E.M. Nikishin, The scattering problem for a discrete Sturm-Liouville operator, Mat. Sb. 121 (1983) 327-358 (Trans.: Mat. USSR Sb. 49 (1984) 325-355)
    • (1984) Mat. USSR Sb. , vol.49 , pp. 325-355
  • 3
    • 0000694908 scopus 로고
    • Matrix Stieltjes series and network models
    • Basu S., Bose N.K. Matrix Stieltjes series and network models. SIAM J. Math. Anal. 14:1983;209-222.
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 209-222
    • Basu, S.1    Bose, N.K.2
  • 4
    • 0030354029 scopus 로고    scopus 로고
    • Markov's theorem for orthogonal matrix polynomials
    • Durán A.J. Markov's theorem for orthogonal matrix polynomials. Canad. J. Math. 48:1996;1180-1195.
    • (1996) Canad. J. Math. , vol.48 , pp. 1180-1195
    • Durán, A.J.1
  • 5
    • 0000169130 scopus 로고    scopus 로고
    • Ratio asymptotics for orthogonal matrix polynomials
    • Durán A.J. Ratio asymptotics for orthogonal matrix polynomials. J. Approx. Theory. 100:1999;304-344.
    • (1999) J. Approx. Theory , vol.100 , pp. 304-344
    • Durán, A.J.1
  • 6
    • 31244437689 scopus 로고    scopus 로고
    • Orthogonal matrix polynomial and quadrature formulae
    • A.J. Durán, E. Defez, Orthogonal matrix polynomial and quadrature formulae, Linear Algebra Appl. 345 (2002) 71-84.
    • (2002) Linear Algebra Appl. , vol.345 , pp. 71-84
    • Durán, A.J.1    Defez, E.2
  • 7
    • 0029692953 scopus 로고    scopus 로고
    • Orthogonal matrix polynomials: Zeros and Blumenthal's theorem
    • Durán A.J., López-Rodriguez P. Orthogonal matrix polynomials: zeros and Blumenthal's theorem. J. Approx. Theory. 84:1996;96-118.
    • (1996) J. Approx. Theory , vol.84 , pp. 96-118
    • Durán, A.J.1    López-Rodriguez, P.2
  • 8
    • 21844504483 scopus 로고
    • Orthogonal matrix polynomials and higher-order recurrence relations
    • Durán A.J., van Assche W. Orthogonal matrix polynomials and higher-order recurrence relations. Linear Algebra Appl. 219:1995;261-280.
    • (1995) Linear Algebra Appl. , vol.219 , pp. 261-280
    • Durán, A.J.1    Van Assche, W.2
  • 10
    • 21344488579 scopus 로고
    • Polynomial interpolation and Gaussian quadrature for matrix valued functions
    • Sinap A., van Assche W. 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.