ScholarLens Back to search
2006•SIAM Journal on Matrix Analysis and ApplicationsRequires access

Computation of Smallest Eigenvalues in the Sturm–Liouville Problem with Strongly Varying Coefficients

Alexander Malyshev

Open publisher page 2 citations

Abstract

An efficient method is developed for computation of eigenvalues and eigenvectors with high relative precision in the Sturm–Liouville problem with strongly varying coefficients. Accuracy of the method is independent of the traditional condition number. New structured condition numbers for nonmultiple eigenvalues are introduced.

About this research paper

What this paper is about

An efficient method is developed for computation of eigenvalues and eigenvectors with high relative precision in the Sturm–Liouville problem with strongly varying coefficients. Accuracy of the method is independent of the traditional condition number. New structured condition numbers for nonmultiple eigenvalues are introduced.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

An efficient method is developed for computation of eigenvalues and eigenvectors with high relative precision in the Sturm–Liouville problem with strongly varying coefficients. Accuracy of the method is independent of the traditional condition number. New structured condition numbers for nonmultiple eigenvalues are introduced.

Key concepts: Sturm–Liouville theory, Eigenvalues and eigenvectors, Mathematics, Computation, Applied mathematics, Mathematical analysis, Combinatorics, Algorithm

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Computation of Smallest Eigenvalues in the Sturm–Liouville Problem with Strongly Varying Coefficients — Research Paper | ScholarLens