Multivariate approximation theory: selected topics

E. W. Cheney9780898712070, 0898712076

The approximation of functions of several variables continues to be a difficult problem in scientific computing because many of the algorithms required for such problems have yet to be written. This monograph is written for a broad audience of computational mathematicians and statisticians concerned with the development of algorithms or the derivation of approximations from linear projections, of which the interpolating operators are an important example. As an aid to both researchers and students, a bibliography of more than 200 titles is included.

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Table of contents :
Multivariate Approximation Theory:Selected Topics……Page 1
Contents……Page 5
Preface……Page 7
CHAPTER 1 Introduction……Page 9
CHAPTER 2 Tensor Products……Page 17
CHAPTER 3 Applications to Integral Equations and Matrix Scaling……Page 25
CHAPTER 4 Approximation by Projections……Page 34
CHAPTER 5 The Problem of Proximinality……Page 43
CHAPTER 6 Algorithms……Page 51
CHAPTER 7 Simultaneous Approximation and Chebyshev Centers……Page 57
CHAPTER 8 Multivariate Interpolation……Page 63
REFERENCES……Page 68