On convergence of double splitting methods for non-Hermitian positive semidefinite linear systems

DOI10.1007/s10092-009-0015-8zbMath1204.65033OpenAlexW2095160073MaRDI QIDQ987715

Cheng-Yi Zhang

Publication date: 13 August 2010

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-009-0015-8

zbMATH Keywords

convergencesparse matrixgeneralized saddle point problemdouble splitting methodsnon-Hermitian positive semidefinite matrix

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 (8)

On comparison results for \(K\)-nonnegative double splittings of different \(K\)-monotone matrices ⋮ Comparison theorems for single and double splittings of matrices ⋮ On the strong \(P\)-regular splitting iterative methods for non-Hermitian linear systems ⋮ An effective stationary iterative method via double splittings of matrices ⋮ Convergence for nonnegative double splittings of matrices ⋮ Convergence of \(H\)-double splitting for \(H\)-matrices ⋮ Alternating stationary iterative methods based on double splittings ⋮ Comparison theorems of spectral radius for splittings of matrices

Cites Work

• A note on double splittings of different monotone matrices
• Convergence and comparison results for double splittings of Hermitian positive definite matrices
• Numerical solution of saddle point problems
• Matrix Analysis
• A Preconditioner for Generalized Saddle Point Problems
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
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