Controlled precision QUBO-based algorithm to compute eigenvectors of symmetric matrices.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 35533179.
- Also identified by DOI 10.1371/journal.pone.0267954 and PMC identifier 9084526.
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Abstract
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.
Medical subject headings
- Algorithms