vol17_pp458-472. 175KB Jun 04 2011 12:06:01 AM
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Associated to a square matrix all of whose entries are real Laurent polynomials in several variables with no negative coefficients is an ordered “dimension” module introduced by
Semrl, Matrix spaces with a bounded number of eigenvalues, Linear Algebra Appl. Serezkin, Linear transformations preserving nilpotency (in Russian),
it is extended to arbitrary elds a result, already proved for innite elds, that describes all the possible characteristic polynomials of a square matrix when an arbitrary submatrix
Hence, the investigation of the m th roots of a nonsingular (and not diagonalizable) matrix A via the Jordan canonical form of A arises in a natural way [2]. The following lemma
In relation to this we remark that the conditions of Conjecture 1.2 are not sufficient for the λ i’s to be the nonzero eigenvalues of a square nonnegative matrix, even when appended
Secondly, we completely characterize those symplectic matri- ces having an infinite number of left eigenvalues (see Theorem 6.2).. The application we have in mind is to compute in
Similarly to the case of interactions between singular tuples, there are several types of reduced matrix equations that may result, depending on the relative place- ment of
Key words: Bounded Lipschitz metric, large dimensional random matrix, eigenvalues, Wigner matrix, sample variance covariance matrix, Toeplitz matrix, Hankel matrix, cir- culant
