Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse \(A_{T,S}^{(2)}\) (Q1642894)
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: Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse \(A_{T,S}^{(2)}\) |
scientific article; zbMATH DE number 6890433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse \(A_{T,S}^{(2)}\) |
scientific article; zbMATH DE number 6890433 |
Statements
Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse \(A_{T,S}^{(2)}\) (English)
0 references
15 June 2018
0 references
\textit{A. N. Sushama} et al. [Linear Multilinear Algebra 63, No. 1, 1--11 (2015; Zbl 1307.15009)] extended the Perron-Frobenius splitting to any matrix (square or rectangular) using the Moore-Penrose inverse, and called it pseudo-Perron-Frobenius splitting. The authors extend this notion by defining the outer-Perron-Frobenius splitting. They also give some necessary and sufficient conditions for the convergence of the outer-Perron-Frobenius splitting.
0 references
proper splitting
0 references
Perron-Frobenius splitting
0 references
generalized inverse
0 references
cones of matrices
0 references
0 references
