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Contraction map methods for discrete rational Chebychev approximation

Published:27 August 1973Publication History

ABSTRACT

Generalizations of H. L. Loeb's dynamic programming algorithm' for rational Chebychev approximation are discussed and conditions for monotone convergence of the sequence of deviations are derived. Implementation strategies to insure feasibility and possible modifications to produce super linear convergence are included.

References

  1. 1.H. L. Loeb, "Algorithms for Chebychev Approximation Using the Ratio of Linear Forms," SIAM Journal 8, 458 (1960)Google ScholarGoogle Scholar

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  1. Contraction map methods for discrete rational Chebychev approximation

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        • Published in

          cover image ACM Conferences
          ACM '73: Proceedings of the ACM annual conference
          August 1973
          472 pages
          ISBN:9781450374903
          DOI:10.1145/800192

          Copyright © 1973 ACM

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 27 August 1973

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