abs_vol18_pp281-288. 26KB Jun 04 2011 12:05:47 AM
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Linear complementarity problem, Moore-Penrose inverse, Verified solution, Abso- lute value equation. AMS
In this paper, the above relation to singular two-parameter eigenvalue problems is extended, and it is shown that the simple finite regular eigenvalues of a two-parameter
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
As part of this investigation, methods are developed, using the tools of algebraic geometry and commutative algebra, to eliminate zero-nonzero patterns A as being potentially
The first kind is the minimal and maximal eigenvalues of all leading principal submatrices of A , and the second kind is one eigenvalue of each leading principal submatrix of A
Generally speaking, the approach described here requires O(N) operations to iteratively find all eigenvalues, and matrix analytic methods requires matrix multiplications, which leads
The number of zero eigenvalues in the spectrum of the graph G is called its nullity and is denoted by η ( G ).. This question is of great interest in chemistry, because, as has
A method is provided to compute first order derivatives of the eigenvalues and eigenvectors for a general complex-valued, non-defective matrix..
