Block analogies of comparison matrices

DOI10.1016/S0024-3795(96)00004-3zbMath0874.15014MaRDI QIDQ1355229

Miroslav Fiedler, Vlastimil Pták

Publication date: 4 August 1997

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

zbMATH Keywords

spectral radius\(M\)-matrixsingular valuestrace inequalitydeterminant inequalityequimodularcomparison matrixdiagonally dominantblock partition

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Canonical forms, reductions, classification (15A21)

Related Items (2)

Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation ⋮ Professor Vlastimil Pták died

Cites Work

• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations
• On a class of matrices which arise in the numerical solution of Euler equations
• On recurring theorems on diagonal dominance
• On the nonsingularity of complex matrices
• Inequalities for M-matrices
• On the Trace of Matrix Products
• A Recurring Theorem on Determinants
• Inequalities: theory of majorization and its applications
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