Square Blocks With Equioscillation in the Pade, Walsh and Cf Tables (Classic Reprint)

Square Blocks With Equioscillation in the Pade, Walsh and Cf Tables (Classic Reprint)

by Lloyd N. Trefethen
     
 

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Excerpt from Square Blocks With Equioscillation in the Pade, Walsh and Cf Tables

See [12] for information on Chebyshev approximation, for Pade, and for cf. (the CF approximant defined above is act ually the extended CF approximant; in practice it would be projected onto a function rcf e Rmn to yield a near-best Chebyshev approximant on a disk.) All three problems

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Excerpt from Square Blocks With Equioscillation in the Pade, Walsh and Cf Tables

See [12] for information on Chebyshev approximation, for Pade, and for cf. (the CF approximant defined above is act ually the extended CF approximant; in practice it would be projected onto a function rcf e Rmn to yield a near-best Chebyshev approximant on a disk.) All three problems have unique solutions, and these can be constructed numerically: rp by solving a finite Hankel system of linear equations, r* by a procedure such as the Remes algorithm, and r* via a singular value decomposition of an infinite Hankel matrix of Laurent series coefficients. We will not go into this.

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Product Details

ISBN-13:
9781333084059
Publisher:
FB &c Ltd
Publication date:
08/01/2016
Pages:
32

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