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On a New Family of Weighted Least-square Orthogonal Polynomials in Multivariables

On a New Family of Weighted Least-square Orthogonal Polynomials in Multivariables
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摘要 This paper introduces a new notion of weighted least-square orthogonal polynomials in multivariables from the triangular form. Their existence and uniqueness is studied and some methods for their recursive computation are given. As an application, this paper constructs a new family of Pade-type approximates in multi-variables from the triangular form. This paper introduces a new notion of weighted least-square orthogonal polynomials in multivariables from the triangular form. Their existence and uniqueness is studied and some methods for their recursive computation are given. As an application, this paper constructs a new family of Pade-type approximates in multi-variables from the triangular form.
出处 《Northeastern Mathematical Journal》 CSCD 2003年第4期339-345,共7页 东北数学(英文版)
基金 Foundation item: The NNSF (10271022) of China.
关键词 orthogonal polynomials least square Pade-type approximate multi-variate approximation orthogonal polynomials, least square, Pade-type approximate, multi-variate approximation
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参考文献1

  • 1C. Brezinski,M. Redivo Zaglia,H. Sadok.A breakdown-free Lanczos type algorithm for solving linear systems[J].Numerische Mathematik.1992(1)

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