Computing Eigenvectors from Eigenvalues In an Arbitrary Orthonormal\n Basis

2019/12/02 by John Lakness, Lakness, John
Computer Science · Engineering · #Advanced Measurement and Metrology Techniques #Advanced Numerical Analysis Techniques #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1912.04060

openalex publication_date 2019/12/02 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

The method of computing eigenvectors from eigenvalues of submatrices can be\nshown as equivalent to a method of computing the constraint which achieves\nspecified stationary values of a quadratic optimization. Similarly, we show\ncomputation of eigenvectors of an orthonormal basis projection using\neigenvalues of sub-projections.\n

Related

• A note on constructive treatment of eigenvectors
• Determining the eigenvalues of a square matrix through known information of its submatrix
• A stable, polynomial-time algorithm for the eigenpair problem
• Orthonormal Eigenbases over the Octonions
• A stable, polynomial-time algorithm for the eigenpair problem