Nonnegative alternating circulants leading to \(M\)-matrix group inverses

DOI10.1016/0024-3795(94)00055-7zbMath0841.15005OpenAlexW2089371084MaRDI QIDQ1906772

Michael Neumann, Yonghong Chen, Stephen J. Kirkland

Publication date: 24 July 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00055-7

zbMATH Keywords

\(M\)-matrixpermutation matrixgroup inverseconcavity of spectral radiusirreducible nonnegative alternating circulant matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (5)

Group inverses of \(M\)-matrices associated with nonnegative matrices having few eigenvalues ⋮ \(M\)-matrix generalized inverses of \(M\)-matrices ⋮ Matrices whose group inverses are \(M\)-matrices ⋮ The \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices ⋮ Generalized inverses of symmetric \(M\)-matrices

Cites Work

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• On convexity properties of the spectral radius of nonnegative matrices
• On the first and second order derivatives of the Perron vector
• Taylor expansions of eigenvalues of perturbed matrices with applications to spectral radii of nonnegative matrices
• Random evolutions and the spectral radius of a non-negative matrix
• Using the QR Factorization and Group Inversion to Compute, Differentiate, and Estimate the Sensitivity of Stationary Probabilities for Markov Chains
• Derivatives and Perturbations of Eigenvectors
• Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix
• Convex spectral functions
• 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
• Derivatives of the spectral radius as a function of non-negative matrix elements

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