Block diagonal dominance of matrices revisited: Bounds for the norms of inverses and eigenvalue inclusion sets
Block diagonal dominance of matrices revisited: Bounds for the norms of inverses and eigenvalue inclusion sets
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DOI：
10.1016/j.laa.2018.04.025
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发表时间：
2017-12
影响因子：
1.1
通讯作者：
C. Echeverr'ia;J. Liesen;R. Nabben
中科院分区：
文献类型：
--
作者：
C. Echeverr'ia;J. Liesen;R. Nabben
We generalize the bounds on the inverses of diagonally dominant matrices obtained in [16] from scalar to block tridiagonal matrices. Our derivations are based on a generalization of the classical condition of block diagonal dominance of matrices given by Feingold and Varga in [11]. Based on this generalization, which was recently presented in [3], we also derive a variant of the Gershgorin Circle Theorem for general block matrices which can provide tighter spectral inclusion regions than those obtained by Feingold and Varga.
