Solution of a tridiagonal operator equation

DOI10.1016/j.laa.2005.10.014zbMath1115.47012OpenAlexW2100905976MaRDI QIDQ819790

R. Balasubramanian, S. H. Kulkarni, Ramakrishnan Radha

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.014

zbMATH Keywords

determinanttridiagonal matrixdiagonal dominancetridiagonal operatorGerschgorin disc

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (6)

Enumeration of smooth inversion sequences and proof of a recent related conjecture ⋮ Frames in generalized Fock spaces ⋮ Invertibility of a tridiagonal operator with an application to a non-uniform sampling problem ⋮ Local reconstruction of a function from a non-uniform sampled data ⋮ On the existence of solutions for the Frenkel-Kontorova models on quasi-crystals ⋮ Solution of an infinite band matrix equation

Cites Work

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• \(C^*\)-algebras and numerical linear algebra
• Spectral and structural analysis of high precision finite difference matrices for elliptic operators
• Non-invertibility of certain almost Mathieu operators
• The role of C*-algebras in infinite dimensional numerical linear algebra

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