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Square Blocks With Equioscillation in the Pade, Walsh and Cf Tables
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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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
30 pages, Hardcover
Published February 5, 2018
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