Spectral properties of diagonally dominant infinite matrices, part I

DOI10.1017/S0308210500018576zbMath0681.47011OpenAlexW2020901507MaRDI QIDQ4730333

Peter Lancaster, F. O. Farid

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500018576

zbMATH Keywords

compact operatorsblock-triangular formcompact inverseGersgorin discapproximating sequence of infinite matricesdiagonally dominant infinite matrix operatorTheorems of Gersgorin-type

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (7)

A New Approach to the Modeling and Analysis of Fracture through Extension of Continuum Mechanics to the Nanoscale ⋮ Spectrum localizations for matrix operators on \(l^p\) spaces ⋮ Spectral Properties of Perturbed Linear Operators and their Application to Infinite Matrices ⋮ On Spectral Properties of Perturbed Operators ⋮ Spectral properties of diagonally dominant infinite matrices. II ⋮ Gershgorin's theorem for matrices of operators ⋮ Analytic birth-death processes: A Hilbert-space approach

Cites Work

• Eigenvalues for infinite matrices
• The Spectral Approximation of Linear Operators with Applications to the Computation of Eigenelements of Differential and Integral Operators
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