Article ID Journal Published Year Pages File Type
8054568 Applied Mathematics Letters 2014 4 Pages PDF
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
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