A similarity canonical form for max-plus matrices and its eigenproblem
Copyright policy )A similarity canonical form for max-plus matrices and its eigenproblem
We provide a necessary and sufficient condition for matrices in the max-plus algebra to be pseudo-diagonalizable, calculate the powers of pseudo-diagonal matrices and prove the invariance of optimal-node matrices and separable matrices under similarity. As an application, we determine the eigenvalues and eigenspaces of pseudo-diagonalizable matrices.
20 pages
eigenvector, Eigenvalues, singular values, and eigenvectors, canonical form, Rings and Algebras (math.RA), FOS: Mathematics, eigenvalue, max-plus algebra, Mathematics - Rings and Algebras, Max-plus and related algebras, matrix similarity
eigenvector, Eigenvalues, singular values, and eigenvectors, canonical form, Rings and Algebras (math.RA), FOS: Mathematics, eigenvalue, max-plus algebra, Mathematics - Rings and Algebras, Max-plus and related algebras, matrix similarity
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