Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897820 | Linear Algebra and its Applications | 2018 | 39 Pages |
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)detâ¡(A)â1, all of which have implications on the eigenvalues of the corresponding matrices. A tropical Sylvester-Franke identity is provided as well.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marianne Akian, Stéphane Gaubert, Adi Niv,