Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8054568 | Applied Mathematics Letters | 2014 | 4 Pages |
Abstract
Let A be a square matrix. We investigate the structure of the spectral solutions of the nonlinear matrix equation AXA=XAX by showing that any semisimple eigenvalue of A with multiplicity at least 2 gives rise to infinitely many solutions. Such solutions can be obtained by means of the projections onto subspaces of the corresponding eigenspace.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jiu Ding, Chenhua Zhang,