Group generalized inverses of M-matrices associated with periodic and nonperiodic jacobi matrices

DOI10.1080/03081089508818406zbMath0845.15010OpenAlexW1997351004MaRDI QIDQ4873481

Yonghong Chen, Michael Neumann, Stephen J. Kirkland

Publication date: 15 September 1996

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

Full work available at URL: https://doi.org/10.1080/03081089508818406

zbMATH Keywords

random walks\(M\)-matricestridiagonal matricesperiodic Jacobi matricesirreducible stochastic matricesgroup generalized inverses

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Theory of matrix inversion and generalized inverses (15A09) Stochastic matrices (15B51)

Related Items

\(M\)-matrix generalized inverses of \(M\)-matrices, Boundary Value Problems on Finite Networks, Acute perturbation of the group inverse, The \(M\)-matrix group inverse problem for distance-biregular graphs, The \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices, Generalized inverses of symmetric \(M\)-matrices, Unnamed Item, A Structured Condition Number for Kemeny's Constant, Regular Markov chains for which the transition matrix has large exponent, Distance–regular graphs having theM-property

Cites Work

• Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
• Characterizations of generalized inverses associated with Markovian kernels
• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains