Common zeros of polynomials in several variables and higher dimensional quadrature

著者

書誌事項

Common zeros of polynomials in several variables and higher dimensional quadrature

Yuan Xu

(Pitman research notes in mathematics series, 312)

Longman Scientific & Technical , Copublished in the United States with John Wiley & Sons, 1994

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注記

Includes bibliographical references (p. 116-119)

内容説明・目次

内容説明

Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.

目次

Introduction Preliminaries and lemmas Motivations Common zeros of polynomials in several variables: first case Moller's lower bound for cubature formula Examples Common zeros of polynomials in several variables: general case Cubature formulae of even degree Final discussions

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