A non-selfadjoint general matrix eigenvalue problem
type: Item
instance of: scholarly article
title: A non-selfadjoint general matrix eigenvalue problem
zbMATH Open document ID: 0673.65049
DOI: 10.1016/0021-9991(87)90171-9
author: E. J. Janse van Rensburg
author: G. Welke
author: George Delic
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: The eigenvalue problem for the partial-wave Schrödinger equation with central-symmetric and complex potential is subject to numerical study, in order to be used in nuclear physics (in the frame work of an optical model). The algorithms use an approximation which approximates the \(L^ 2(0,\infty)\) eigenvalue problem by an \(L^ 2(0,A)\) problem, with suitable large A. Then the resulting eigenvalue problem is reduced to an algebraically one by approximating the wave function by Chebyshev polynomials. Several numerical experiments are performed.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 34L99
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 4102412
zbMATH Keywords: non-self-adjoint Sturmian eigenvalue equation
zbMATH Keywords: numerical
zbMATH Keywords: convergence
zbMATH Keywords: quantum scattering theory
zbMATH Keywords: numerical examples
zbMATH Keywords: partial-wave Schrödinger equation
zbMATH Keywords: eigenvalue
zbMATH Keywords: Chebyshev polynomials
reviewed by: A. Popa
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90171-9
OpenAlex ID: W2045958863
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description: scientific article; zbMATH DE number 4102412