Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498314 | Linear Algebra and its Applications | 2005 | 24 Pages |
Abstract
The optimal perturbation, ÎM, to a matrix, M, such that M â ÎM has a given eigenvalue λ0 is given by the Eckart-Young theorem. This perturbation is optimal in the sense that â¥ÎMâ¥2 is minimal. In this article, we present a generalization, finding â¥ÎMâ¥2 optimal perturbations of M such that M â ÎM has two of given eigenvalues. This result also generalizes recent work by Malyshev.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ross A. Lippert,