Controlled precision QUBO-based algorithm to compute eigenvectors of symmetric matrices

We describe an algorithm to compute the extremal eigenvalues and corresponding eigenvectors of a symmetric matrix which is based on solving a sequence of Quadratic Binary Optimization problems. This algorithm is robust across many different classes of symmetric matrices; It can compute the eigenvect...

Full description

Saved in:
Bibliographic Details
Published inPloS one Vol. 17; no. 5; p. e0267954
Main Authors Krakoff, Benjamin, Mniszewski, Susan M, Negre, Christian F A
Format Journal Article
LanguageEnglish
Published United States Public Library of Science 09.05.2022
Public Library of Science (PLoS)
Subjects
Algorithms
Analysis
Annealing
Computer and Information Sciences
Eigenvalues
Eigenvectors
Equations, Quadratic
Evaluation
Mathematical analysis
Matrices (mathematics)
Optimization
Physical Sciences
Research and Analysis Methods
Science & Technology - Other Topics
Variables
United States
Online AccessGet full text

Cover

More Information
Summary:We describe an algorithm to compute the extremal eigenvalues and corresponding eigenvectors of a symmetric matrix which is based on solving a sequence of Quadratic Binary Optimization problems. This algorithm is robust across many different classes of symmetric matrices; It can compute the eigenvector/eigenvalue pair to essentially any arbitrary precision, and with minor modifications, can also solve the generalized eigenvalue problem. Performance is analyzed on small random matrices and selected larger matrices from practical applications.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
USDOE
89233218CNA000001
Competing Interests: The authors have declared that no competing interests exist.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0267954