Euclidean norm estimates of the inverse of some special block matrices

DOI10.1016/j.amc.2016.02.048zbMath1410.15003OpenAlexW2308485054MaRDI QIDQ1733438

Dragana Lj. Cvetković, Ksenija Doroslovački, Ljiljana Cvetković, Vladimir R. Kostić

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.048

zbMATH Keywords

inverse matrixblock matricesEuclidean matrix norm

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (2)

From pseudospectra of diagonal blocks to pseudospectrum of a full matrix ⋮ A new lower bound for the smallest singular value

Cites Work

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• Max norm estimation for the inverse of block matrices
• A Gershgorin-type lower bound for the smallest singular value
• On some metrical properties of operator matrices and matrices partitioned into blocks
• Block and asynchronous two-stage methods for mildly nonlinear systems
• Further lower bounds for the smallest singular value
• A class of asynchronous parallel multisplitting blockwise relaxation methods
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs

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