On the constrained Chebyshev approximation problem on ellipses

DOI10.1016/0021-9045(90)90054-TzbMath0728.41023OpenAlexW2063392327MaRDI QIDQ804858

Bernd Fischer, Roland W. Freund

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90054-t

zbMATH Keywords

Chebyshev approximation problem on ellipses

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation with constraints (41A29)

Related Items (6)

Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ On conjugate gradient type methods and polynomial preconditioners for a class of complex non-Hermitian matrices ⋮ An extension of the Chebyshev polynomials ⋮ Chebyshev polynomials are not always optimal ⋮ QMR: A quasi-minimal residual method for non-Hermitian linear systems ⋮ On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems

Cites Work

• Richardson's iteration for nonsymmetric matrices
• A study of semiiterative methods for nonsymmetric systems of linear equations
• On a class of Chebyshev approximation problems which arise in connection with a conjugate gradient type method
• Near-circularity of the error curve in complex Chebyshev approximation
• The Tchebychev iteration for nonsymmetric linear systems
• A Unified Approach to Certain Problems of Approximation and Minimization
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