M-matrices leading to semiconvergent splittings
From MaRDI portal
Publication:1239214
DOI10.1016/0024-3795(76)90030-6zbMath0358.15016OpenAlexW1972721945MaRDI QIDQ1239214
Publication date: 1976
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(76)90030-6
Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06)
Related Items (24)
Karamardian Matrices: A Generalization of $Q$-Matrices ⋮ Splittings ofM-operators: Irreducibility and the index of the iteration operator ⋮ Resolvent expansions of matrices and applications ⋮ M-matrix and inverse M-matrix extensions ⋮ Unnamed Item ⋮ Matrices whose group inverses are \(M\)-matrices ⋮ Singular irreducible \(M\)-matrices revisited ⋮ Complementarity properties of singular \(M\)-matrices ⋮ On parallel multisplitting iterative methods for singular linear systems ⋮ Theorems on M-splittings of a singular M-Matrix which depend on graph structure ⋮ Convergent nonnegative matrices and iterative methods for consistent linear systems ⋮ Completely mixed games and M-matrices ⋮ An index classification of M-matrices ⋮ Generalized inverse-positivity and splittings of M-matrices ⋮ Singular M-matrices and inverse positivity ⋮ M-matrix characterization II: GeneralM-matrices ⋮ Alternating two-stage methods for consistent linear systems with applications to the parallel solution of Markov chains ⋮ The Ostrowski-Reich theorem for SOR iterations: Extensions to the rank deficient case ⋮ Semiconvergence criteria of iterations and extrapolated iterations and constructive methods of semiconvergent iteration matrices ⋮ Conference celebrating the 60th birthday of Robert J. Plemmons. Papers from the conference, Winston-Salem, NC, USA, January 1999 ⋮ Dedication to Robert J. Plemmons ⋮ Comparison theorems for the convergence factor of iterative methods for singular matrices ⋮ Semiconvergence of extrapolated iterative methods for singular linear systems ⋮ On the semiconvergence of extrapolated iterative methods for singular linear systems
Cites Work
- Topological proofs for certain theorems on matrices with non-negative elements
- On matrices with non-negative elements
- Algebraic eigenspaces of nonnegative matrices
- A Survey onM-Matrices
- The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
- On the Solution of Singular and Semidefinite Linear Systems by Iteration
- A Note on M-Matrix Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: M-matrices leading to semiconvergent splittings