Explicit inverse of a band matrix with application to computing eigenvalues of a Sturm-Liouville system

DOI10.1016/0024-3795(87)90294-1zbMath0617.65093OpenAlexW2005595777WikidataQ126743359 ScholiaQ126743359MaRDI QIDQ1822215

Riaz A. Usmani

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90294-1

zbMATH Keywords

convergencenumerical exampleeigenvalueserror analysisSturm-Liouville eigenvalue problemsymmetric tridiagonal matrixexplicit inverse

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Cites Work

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• A new fourth order method for computing eigenvalues of two-point boundary value problems: An addendum
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• Numerical solution of some ordinary differential equations occurring in plate deflection theory
• Properties of a five-band matrix and its application to boundary value problems
• A Finite-difference Method for a Class of Singular Two-point Boundary-value Problems
• On Noumerov's method for computing eigenvalues
• A new fourth order method for computing eigenvalues of two-point boundary value problems
• Quintic spline solution of a boundary value problem
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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