ENGLISH

Common zeros of polynomials in several variables and higher dimensional quadrature

Book information

Publisher
John Wiley and Sons, Longman Scientific and Technical;Chapman and Hall/CRC
Year
1994
ISBN
0582246709, 9780582246706
Language
english
Format
DJVU
Filesize
941 kB (963554 bytes)
Series
Chapman & Hall/CRC Pitman Research Notes in Mathematics Series
Edition
1
Pages
136\135
Library
kolxoz
Time added
2017-10-15 16:00:00

Description

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 Content: 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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