Article ID Journal Published Year Pages File Type
8897820 Linear Algebra and its Applications 2018 39 Pages PDF
Abstract
We prove identities on compound matrices in extended tropical semirings. Such identities include analogues to properties of conjugate matrices, powers of matrices and adj(A)det⁡(A)−1, all of which have implications on the eigenvalues of the corresponding matrices. A tropical Sylvester-Franke identity is provided as well.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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