Continued fraction calculation of the eigenvalues of tridiagonal matrices arising from the Schrödinger equation

DOI10.1016/0771-050X(80)90020-0zbMath0424.65012OpenAlexW2023235519MaRDI QIDQ1135083

Edgardo Gerck, Augusto Brandao D'Oliveira

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0771-050x(80)90020-0

zbMATH Keywords

eigenvaluesSturm sequencetridiagonal matrixradial Schrödinger equationself-stabilising continued fraction approach

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Extrapolation to the limit, deferred corrections (65B05) Convergence and divergence of continued fractions (40A15) Ordinary differential operators (34L99)

Related Items (2)

A short note on a generalization of the Givens transformation ⋮ On the eigenvalue problem - \(y^{\prime\prime }+f(x)y=\lambda y\) on a semi infinite interval

Cites Work

• An algorithm for calculating generalized continued fractions
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