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Article
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SIAM Journal on Numerical Analysis
Article . 1985 . Peer-reviewed
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Discrete Chebyshev Approximation with Linear Constraints

Discrete Chebyshev approximation with linear constraints
Authors: Brannigan, Michael;

Discrete Chebyshev Approximation with Linear Constraints

Abstract

For overdetermined systems of linear equations subject to linear constraints, the minimum norm solution with respect to the Chebyshev norm is considered. Using the concept of H-sets, characterizations for the solutions are obtained. A Remez-type ascent exchange algorithm is described and analyzed. Numerical examples are given.

Keywords

overdetermined systems, Numerical solutions to overdetermined systems, pseudoinverses, minimum norm solution, Numerical examples, linear constraints, Best approximation, Chebyshev systems, Approximation with constraints, Chebyshev approximation, H-sets, Remez-type ascent exchange algorithm

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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