Subdirect sums of weakly chained diagonally dominant matrices

DOI10.1080/03081087.2016.1233933zbMath1360.15004OpenAlexW2521525734MaRDI QIDQ2979498

Ruidan Ma, Chaoqian Li, Qilong Liu, Yao-Tang Li

Publication date: 25 April 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1233933

zbMATH Keywords

subdirect sumweakly chained diagonally dominant matricesirreducible diagonally dominant matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Linear equations (linear algebraic aspects) (15A06)

Related Items (6)

Note on subdirect sums of SDD(p) matrices ⋮ Note on subdirect sums of \(\{i_0\}\)-Nekrasov matrices ⋮ A fast and stable test to check if a weakly diagonally dominant matrix is a nonsingular M-matrix ⋮ On subdirect sums of Nekrasov matrices ⋮ Subdirect sums of QN-matrices ⋮ On \(\{P_1,P_2\}\)-Nekrasov matrices

Cites Work

• Some results on \(B\)-matrices and doubly \(B\)-matrices
• Estimation of \(\| A^{-1}\| _\infty \) for weakly chained diagonally dominant \(M\)-matrices
• Sub-direct sums and positivity classes of matrices
• Doubly diagonally dominant matrices
• Weighted max norms, splittings, and overlapping additive Schwarz iterations
• Characterization of \(\alpha 1\) and \(\alpha 2\)-matrices
• Subdirect sums of Nekrasov matrices
• Subdirect sums of S-strictly diagonally dominant matrices
• Subdirect sums of doubly diagonally dominant matrices
• On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics
• Sums of Σ-strictly diagonally dominant matrices
• Subdirect sums of nonsingular M-matrices and of their inverses
• Additive Schwarz Iterations for Markov Chains

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