Approximation on disjoint intervals and its applicability to matrix preconditioning

DOI10.1080/17476930701524222zbMath1132.41307OpenAlexW2132654139MaRDI QIDQ5443488

Maurice Hasson, Juan M. Restrepo

Publication date: 21 February 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701524222

zbMATH Keywords

polynomial approximationnormal matricesmatrix preconditioning

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Simultaneous approximation (41A28)

Related Items (1)

A strategy for detecting extreme eigenvalues bounding gaps in the discrete spectrum of self-adjoint operators

Cites Work

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• Orthogonality of residual polynomials used in minimax polynomial preconditioning
• Iterative methods for the computation of a few eigenvalues of a large symmetric matrix
• A strategy for detecting extreme eigenvalues bounding gaps in the discrete spectrum of self-adjoint operators
• Minimax Polynomial Preconditioning for Hermitian Linear Systems
• From Potential Theory to Matrix Iterations in Six Steps
• On Adaptive Weighted Polynomial Preconditioning for Hermitian Positive Definite Matrices
• Numerical Integration of Periodic Functions: A Few Examples
• Faber Polynomials and the Faber Series

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