vol17_pp168-191. 228KB Jun 04 2011 12:05:59 AM
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The perturbation of real eigenvalues of real skew-Hamiltonian matrices under structured perturbations is discussed as well and these results are used to analyze the properties of
A theorem of Mirsky provides necessary and sufficient conditions for the existence of an N -square complex matrix with prescribed diagonal entries and prescribed eigenvalues.. A
Matrix valued functions, Perturbations, Similarity of matrices, Diagonalizable matrices.. AMS
They introduced the terms “essentially nonnegative matrix” for matrices whose off-diagonal elements are nonnegative and “essentially positive matrix” for essentially
In Section 3 it is shown that the same situation holds for the nonnegative P0-matrix completion problem, that is, a pattern for n × n matrices that includes all diagonal positions
We then use the basic fact that all totally positive nonsingular square matrices are products of matrices with strictly positive diagonal entries, and all other entries zero aside
A is invertible, it connects to two nonequivalent maximal matrices, and when A is singular, there exists at least one maximal matrix which A connects to, but which is not its
Submitted to EJP on June 19, 2000.. In probabilistic terms the associated process X can be obtained by a time change of X. For the moment we will just discuss the case K = [0, 1],
