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

โœ Scribed by E. W. Cheney

Publisher
Society for Industrial Mathematics
Year
1987
Tongue
English
Leaves
77
Series
CBMS-NSF Regional Conference Series in Applied Mathematics
Category
Library
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โœฆ Synopsis

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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Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important in