Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature

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A01=Yuan Xu
advanced calculus
Algebraic ideal theory
Author_Yuan Xu
Category=PBKB
Category=PBKS
Common Zeros
Commuting Condition
Cubature Formula
Degree 2n
Distinct Zeros
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Favard's Theorem
Favard’s Theorem
Finite Moments
Follow
functional analysis
Hankel Matrix
Higher dimensional quadrature
Holds
Lagrange Interpolation
Lower Bound
mathematical modeling
Matrix Equations
multivariate analysis
multivariate polynomial zero distribution
Nonlinear Matrix Equations
Null Space
numerical integration methods
Odd
Orthogonal Polynomial
Orthogonal polynomials
Orthonormal Polynomials
Quadrature Formula
R D
Radon
Skew Symmetric Matrix
Symmetric Polynomials
theoretical mathematics
Vector Matrix Notation
Weight Functions
ℝ D

Product details

  • ISBN 9780582246706
  • Weight: 244g
  • Dimensions: 174 x 246mm
  • Publication Date: 10 Oct 1994
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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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.
University of Oregon, USA.

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