A new characterization of \(M\)-matrices and \(H\)-matrices (Q1431655)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A new characterization of \(M\)-matrices and \(H\)-matrices |
scientific article; zbMATH DE number 2073444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new characterization of \(M\)-matrices and \(H\)-matrices |
scientific article; zbMATH DE number 2073444 |
Statements
A new characterization of \(M\)-matrices and \(H\)-matrices (English)
0 references
11 June 2004
0 references
The author proposes the necessary conditions for the characterization of \(M\)-matrices and \(H\)-matrices, with positive diagonal entries, in terms of strong accretivity, which play an important role in the study of nonlinear semigroups. These results allow the study of the convergence of the parallel asynchronous Schwarz alternating method for the solution of nonlinear boundary value problems and the Lyapounov stability analysis of large scale linear evolution systems.
0 references
M-matrix
0 references
H-matrix
0 references
accretive operator
0 references
iterative methods
0 references
nonlinear semigroups
0 references
convergence
0 references
parallel asynchronous Schwarz alternating method
0 references
nonlinear boundary value problems
0 references
Lyapounov stability
0 references
large scale linear evolution systems
0 references
