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Volumn 89, Issue 3, 2001, Pages 535-560

Recursive computation of Padé-Legendre approximants and some acceleration properties

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EID: 0035628091     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005478     Document Type: Article
Times cited : (16)

References (11)
  • 2
    • 0041128053 scopus 로고
    • Rational approximations from Chebyshev series
    • London: Academic Press
    • Clenshaw, C.N., and Lord, K., Rational Approximations from Chebyshev Series, in Studies in Numerical Analysis 95-113. London: Academic Press 1974
    • (1974) Studies in Numerical Analysis , pp. 95-113
    • Clenshaw, C.N.1    Lord, K.2
  • 4
    • 0005421578 scopus 로고
    • Nonlinear Padé approximants for Legendre series
    • Fleischer, J., Nonlinear Padé Approximants for Legendre Series, J. Math. Phys. 14, 246-248 (1973)
    • (1973) J. Math. Phys. , vol.14 , pp. 246-248
    • Fleischer, J.1
  • 5
    • 84968512996 scopus 로고
    • A method for the approximation of functions defined by formal series expansions in orthogonal polynomials
    • Holdeman, J.T., Jr., A Method for the Approximation of Functions Defined by Formal Series Expansions in Orthogonal Polynomials. Math. Comp. 23 275-287 (1969)
    • (1969) Math. Comp. , vol.23 , pp. 275-287
    • Holdeman J.T., Jr.1
  • 6
    • 0001014058 scopus 로고
    • On the rate of convergence for Padé approximants of orthogonal expansions
    • Gonchar, A.A., Saff, E.B. (eds) Springer Berlin Heidelberg New York
    • Gonchar, A.A., Rakhmanov, E.A., Suetin, S.P., On the Rate of Convergence for Padé Approximants of Orthogonal Expansions, in Progress in Approximation Theory pp. 169-190. Gonchar, A.A., Saff, E.B. (eds) Springer Berlin Heidelberg New York: 1992
    • (1992) Progress in Approximation Theory , pp. 169-190
    • Gonchar, A.A.1    Rakhmanov, E.A.2    Suetin, S.P.3
  • 8
    • 0005434906 scopus 로고
    • On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a given function
    • Suetin, S.P., On the Convergence of Rational Approximations to Polynomial Expansions in Domains of Meromorphy of a Given Function. Math. USSR Sbornik 34, 367-381 (1978)
    • (1978) Math. USSR Sbornik , vol.34 , pp. 367-381
    • Suetin, S.P.1
  • 9
    • 0005455852 scopus 로고
    • On de montessus de Ballore's theorem for nonlinear Padé approximants of Orthogonal series and Faber series
    • Suetin, S.P., On De Montessus de Ballore's Theorem for Nonlinear Padé Approximants of Orthogonal Series and Faber Series. Sov. Math. Dokl. 22, 274-277 (1980)
    • (1980) Sov. Math. Dokl. , vol.22 , pp. 274-277
    • Suetin, S.P.1
  • 10
    • 0005458892 scopus 로고
    • On montessus de Ballore's theorem for rational approximants of Orthogonal expansions
    • Suetin, S.P., On Montessus De Ballore's Theorem for Rational Approximants of Orthogonal Expansions. Math. USSR Sb. 42, 399-411 (1982)
    • (1982) Math. USSR Sb. , vol.42 , pp. 399-411
    • Suetin, S.P.1
  • 11
    • 0004073954 scopus 로고    scopus 로고
    • Publications of American Mathematical Society
    • Szego, Orthogonal Polynomials. Publications of American Mathematical Society
    • Orthogonal Polynomials
    • Szego1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.