Fejér-Walsh points for rational functions and their use in the ADI iterative method

DOI10.1016/0377-0427(93)90291-IzbMath0779.65021MaRDI QIDQ1802163

Gerhard Starke

Publication date: 8 August 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesconformal mappingrational functionsalternating directions implicit methodADI iterationFejér pointsrational Zolotarev problemADI iterative methodFejér-Walsh points

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (6)

Optimal ray sequences of rational functions connected with the Zolotarev problem ⋮ Iterative methods for \(X-AXB=C\) ⋮ On the generalized ADI method for the matrix equation \(X- AXB\)=\(C\) ⋮ Exponential node clustering at singularities for rational approximation, quadrature, and PDEs ⋮ Reciprocal-Log Approximation and Planar PDE Solvers ⋮ Optimal quadrature for analytic functions

Uses Software

• SCPACK

Cites Work

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• Fields of values and iterative methods
• Hyperbolic capacity and interpolating rational functions
• On interpolation by rational functions
• Numerical Computation of the Schwarz–Christoffel Transformation
• Optimal Alternating Direction Implicit Parameters for Nonsymmetric Systems of Linear Equations
• On a Zolotarev problem in the method of alternating directions
• ZOLOTAREV PROBLEMS CONNECTED WITH RATIONAL FUNCTIONS
• Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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