Positive cones and convergence conditions for iterative methods based on splittings

DOI10.1016/j.laa.2005.04.022zbMath1087.65026OpenAlexW2062029150MaRDI QIDQ819135

Victoria Herranz, Carmen Perea, Joan-Josep Climent

Publication date: 22 March 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.04.022

zbMATH Keywords

convergenceiterative methodsplittingsnonnegative matricessplittingpartial orderlarge and sparse linear systemspositivity cone

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10)

Related Items (4)

Proper splittings and reduced solutions of matrix equations ⋮ On Stein-Rosenberg type theorems for nonnegative and Perron-Frobenius splittings ⋮ Comment on `A comparison theorem of the SOR iterative method' ⋮ Ordered matrices with nonnegative group projector

Cites Work

• Comparisons of regular splittings of matrices
• A note on comparison theorems for nonnegative matrices
• Comparisons of nonnegative splittings of matrices
• Comparison theorems for weak splittings of bounded operators
• Comparisons of weak regular splittings and multisplitting methods
• Some comparison theorems for weak nonnegative splittings of bounded operators
• Nonnegative splitting theory
• A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
• Convergence and comparison theorems for multisplittings
• Analytic functions ofM-matrices and generalizations
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
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