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.
Yuan Xu (University of Oregon)
Country of Publication:
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
10 October 1994
Professional and scholarly
Further / Higher Education
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
University of Oregon, USA.