Remark on a new method of calculation of eigenvalues and eigenfunctions for discrete operators
type: Item
instance of: scholarly article
title: Remark on a new method of calculation of eigenvalues and eigenfunctions for discrete operators
zbMATH Open document ID: 0841.65068
DOI: 10.1007/BF02368675
published in: Journal of Mathematical Sciences (New York)
publication date: 1996-05-21T00:00:00Z
review text: A regularized trace of a differential operator is a sum having the form \[ \sum_{(n)} \{\lambda^m_n - A_m(n)\} = s_m, \] where \(\lambda_n\) are eigenvalues of the differential operator, \(A_m(n)\) are specific numbers ensuring the convergence of the series, and \(m\) is an arbitrary positive integer. Once formulas for regularized traces are obtained, we can try to use them for approximate calculation of leading eigenvalues of the corresponding operator.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 65J10
zbMATH DE Number: 862255
zbMATH Keywords: regularized trace
zbMATH Keywords: differential operator
zbMATH Keywords: convergence
zbMATH Keywords: leading eigenvalues
author: V. A. Sadovnichy
author: V. V. Dubrovskij
MaRDI profile type: Publication
cites work: Q5526485
description: scientific article; zbMATH DE number 862255