Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets

DOI10.1016/j.laa.2018.04.025zbMath1390.15065arXiv1712.05662OpenAlexW2963078734MaRDI QIDQ1642028

Jörg Liesen, Reinhard Nabben, Carlos Echeverria

Publication date: 20 June 2018

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

Full work available at URL: https://arxiv.org/abs/1712.05662

zbMATH Keywords

eigenvalue inclusion regionsblock tridiagonal matricesblock diagonal dominanceGershgorin circle theoremdecay bounds for the inverse

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

Analysis of the multiplicative Schwarz method for matrices with a special block structure ⋮ Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices ⋮ Approximate Error Bounds on Solutions of Nonlinearly Preconditioned PDEs

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