vol9_pp01-20. 228KB Jun 04 2011 12:06:16 AM
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![Fig. 3.3. Digraphs not having P0-completion (identified as per [4]).](https://thumb-ap.123doks.com/thumbv2/123dok/956846.910404/8.595.198.388.323.583/fig-digraphs-having-p-completion-identied.webp)
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The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns.. Such patterns are
Eventually nonnegative matrix, Eventually positive matrix, Eventually exponen- tially positive matrix, Exponentially positive matrix, Sign pattern, Perron-Frobenius.. AMS
The main result here, Theorem 2.3, characterizes the minimizers of the distance between a given positive semidefinite matrix and the unitary group, for strictly increasing Schur
Using Theorem 3.4, we have established a necessary and sufficient condition for the existence and the expression of the reflexive re-nonnegative definite solution to matrix
The NIEDP contains the nonnegative inverse eigenvalue problem ( NIEP), which asks for necessary and sufficient conditions for the existence of an entrywise nonneg- ative matrix A
This paper extends the Nilpotent- Jacobian method for sign pattern matrices to complex sign pattern matrices, establishing a means to show that an irreducible complex sign
In this section we establish a condition sufficient to ensure that a sign pattern is PEP, and provide an example of an eventually positive matrix that shows that this condition is
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary conditions that arises in models of neurophysiology for the diffusion of
