Relations between condition numbers and the convergence of the Jacobi method for real positive definite matrices

DOI10.1007/BF01400253zbMath0535.65015MaRDI QIDQ791274

Francesco Romani, Mario Arioli

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132980

zbMATH Keywords

spectral radiuscondition numberJacobi matrixsymmetric diagonal dominant matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Low rank modifications of Jacobi and JOR iterative methods

Cites Work

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• Optimally scaled matrices
• Optimally scaled matrices, necessary and sufficient conditions
• Condition numbers and equilibration of matrices
• Error Analysis of Direct Methods of Matrix Inversion
• Scaling for Numerical Stability in Gaussian Elimination

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