vol10_pp257-271. 221KB Jun 04 2011 12:05:50 AM
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It is shown that if the connected graph of the specified entries of a combinatorially symmetric, partial totally positive matrix is monotonically labeled block clique, then there is
The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns.. Such patterns are
For the Q -completion problem, sufficient conditions for a digraph to have Q -completion are given, necessary conditions for a digraph to have Q -completion are provided, and
Minimum rank, Symmetric matrix, Finite field, Projective geometry, Polarity graph, Bilinear symmetric form. AMS
Here, we consider (for the rst time) the P-matrix completion problem under the assumptions that the partial matrix is square, all diagonal entries are specied, and the data
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
allows a given property if there exists a matrix of the pattern with that property (e. we are considering pairs of patterns that allow commutativity); a pattern requires.. a
Key words: Large dimensional random matrix, eigenvalues, circulant matrix, symmetric circu- lant matrix, reverse circulant matrix, k circulant matrix, empirical spectral
