On the spectral radius of the Jacobi iteration matrix for a rectangular region with two different media

DOI10.1016/0771-050X(79)90040-8zbMath0454.65026MaRDI QIDQ1149740

Masatoshi Ikeuchi, Hiroshi Niki, Hiroshi Kobayashi, Hideo Sawami

Publication date: 1979

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

zbMATH Keywords

numerical resultsLaplace equationsuccessive overrelaxationJacobi iteration matrixbounds of the spectral radiusoptimum relaxation factor

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• The Determination of the Optimum Accelerating Factor for Successive Over-relaxation
• A practical technique for the determination of the optimum relaxation factor of the successive over-relaxation method
• Estimating Optimum Overrelaxation Parameters
• The Use of Conjugate Gradients for Systems of Linear Equations Possessing “Property A”

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