Properties for the Perron complement of three known subclasses of \(H\)-matrices
DOI10.1186/s13660-014-0531-1zbMath1310.15066OpenAlexW2140999939WikidataQ59436226 ScholiaQ59436226MaRDI QIDQ2260607
Shan Chu, Jianzhou Liu, Leilei Wang
Publication date: 11 March 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-014-0531-1
spectral radiusPerron complement\(H\)-matrixdiagonally dominant matrixnonnegative irreducible matrix
Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10)
Cites Work
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- Some closer bounds of Perron root basing on generalized Perron complement
- Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems
- A note on generalized nonlinear diagonal dominance
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- Uncoupling the Perron eigenvector problem
- Inverses of Perron complements of inverse \(M\)-matrices
- A divide and conquer approach to computing the mean first passage matrix for Markov chains via Perron complement reductions
- On the stability of the computation of the stationary probabilities of Markov chains using Perron complements
- On Perron complements of totally nonnegative matrices
- Perron complement and Perron root
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