Extensions of Perron–Frobenius splittings and relationships with nonnegative Moore–Penrose inverses

DOI10.1080/03081087.2013.840616zbMath1307.15009OpenAlexW2035485717MaRDI QIDQ2938314

K. Premakumari, K. C. Sivakumar, Agrawal N. Sushama

Publication date: 14 January 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.840616

zbMATH Keywords

Moore-Penrose inversenonnegativityPerron-Frobenius propertyPerron-Frobenius splittingeventually nonnegativeeventually positive

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse \(A_{T,S}^{(2)}\) ⋮ Singular \(M\)-matrices which may not have a nonnegative generalized inverse

Cites Work

• Generalized inverses. Theory and applications.
• On Perron-Frobenius property of matrices having some negative entries
• A Survey onM-Matrices
• Characterizations of Real Matrices of Monotone Kind
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
• Monotonicity and the Generalized Inverse
• Matrix Iterative Analysis

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