Multivariate Approximation Theory: Selected Topics (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics)

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. Cover ......Page 1 MultivariateApproximation Theory: Selected Topics......Page 3 Contents......Page 5 Introduction......Page 7 Tensor Products......Page 15 Applications to Integral Equations and Matrix Scaling......Page 22 Approximation by Projections......Page 30 The Problem of Proximinality......Page 38 Algorithms......Page 45 Simultaneous Approximation and Chebyshev Centers......Page 51 Multivariate Interpolation......Page 56 References ......Page 60 E. Ward Cheney. Bibliography: P. 60-68.