The optimal preconditioner of strictly diagonally dominant \(Z\)-matrix

DOI10.1007/s10255-006-6148-5zbMath1176.65032OpenAlexW2002731349MaRDI QIDQ942889

Wei Li, Ji-Cheng Li

Publication date: 8 September 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-006-6148-5

zbMATH Keywords

preconditioningregular splitting\(m\)-matrixstrictly diagonally dominant \(Z\)-matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Cites Work

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• Convergence of parallel multisplitting iterative methods for M-matrices
• Modified iterative methods for consistent linear systems
• Comparison theorems for weak splittings of bounded operators
• Improving the modified Gauss-Seidel method for \(Z\)-matrices
• Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices
• Accelerated iterative method for \(Z\)-matrices
• Adaptive gauss-seidel method for linear systems
• A Simple Approach to the Perron-Frobenius Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces

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