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Multivariate Approximation Theory: Selected TopicsMultivariate Approximation Theory: Selected Topics

E. W. Cheney

CBMS-NSF Regional Conference Series in Applied Mathematics 51

There are many ingredients necessary for a successful monograph. It should be enjoyable to read, it should teach, and it should inspire further research. I believe Cheney's book scores highly on all three points. --F. Deutsch, Mathematical Reviews, Issue 88K

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.


Introduction; Tensor Products; Applications to Integral Equations and Matrix Scaling; Approximation by Projections; The Problem of Proximinality; Algorithms; Simultaneous Approximation and Chebyshev Centers; Multivariate Interpolation.

1986 / vi + 68 pages / Softcover / ISBN-13: 978-0-898712-07-0 / ISBN-10: 0-89871-207-6 /
List Price $42.00 / SIAM/CBMS Member Price $29.40 / Order Code CB51
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