Comparison theorems for single and double splittings of matrices

DOI10.1155/2013/827826zbMath1266.65053OpenAlexW2053842813WikidataQ59004691 ScholiaQ59004691MaRDI QIDQ2375680

Qun-Fa Cui, Cui-Xia Li, Shi-Liang Wu

Publication date: 14 June 2013

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

Full work available at URL: https://doi.org/10.1155/2013/827826

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (4)

Comparison results for proper nonnegative splittings of matrices ⋮ Alternating stationary iterative methods based on double splittings ⋮ On comparison theorems for splittings of different semimonotone matrices ⋮ Comparison theorems of spectral radius for splittings of matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence for nonnegative double splittings of matrices
• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• A note on double splittings of different monotone matrices
• On convergence of double splitting methods for non-Hermitian positive semidefinite linear systems
• Nonnegative splitting theory
• Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
• Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices
• Convergence and comparison results for double splittings of Hermitian positive definite matrices
• Convergence and comparison theorems for double splittings of matrices
• Estimation of the Optimum Relaxation Factors in Partial Factorization Iterative Methods
• Two-sweep iterative methods

This page was built for publication: Comparison theorems for single and double splittings of matrices