Weak-convergence theory of quasi-nonnegative splittings for singular matrices.

DOI10.1016/S0168-9274(03)00057-6zbMath1044.65022OpenAlexW2034862070MaRDI QIDQ1412331

Jin Yun Yuan, Li Wang, Zhong Zhi Bai

Publication date: 10 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(03)00057-6

zbMATH Keywords

numerical exampleiterative methodmonotone convergencelarge sparse systemsingular system of linear equationsquasi-nonnegative splittingweak-convergence

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)

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Cites Work

• A comparison of methods for determining turning points of nonlinear equations
• Algebraic eigenspaces of nonnegative matrices
• Convergent nonnegative matrices and iterative methods for consistent linear systems
• Index splitting for the Drazin inverse and the singular linear system
• Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices
• On upper triangular block weak regular splittings of a singular \(M\)-matrix
• Semiconvergence of nonnegative splittings for singular matrices
• Theorems on M-splittings of a singular M-Matrix which depend on graph structure
• Newton-Like Pseudo-Arclength Methods for Computing Simple Turning Points
• Matrix Methods for Queuing Problems
• Solution Fields of Nonlinear Equations and Continuation Methods
• Solution of Homogeneous Systems of Linear Equations Arising from Compartmental Models
• Convergent Powers of a Matrix with Applications to Iterative Methods for Singular Linear Systems
• Numerical Methods for a Class of Finite Dimensional Bifurcation Problems
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
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