vol17_pp532-542. 113KB Jun 04 2011 12:06:01 AM
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These include the group G (1) of matrices whose columns are identical except for initial zeros, and also the group G (2) of matrices in which the odd-numbered columns are
Thus the purpose of this article is to show what are variously called isometric tight frames (Peng and Waldron [6]), normalised tight frames (Fickus [3], Zimmermann [8]) and
The minimum rank problem is the problem of finding the smallest rank of a matrix in the set of symmetric matrices having the zero-nonzero pattern of off-diagonal entries described by
We include a Matlab program to generate Krein spaces numerical ranges of arbitrary complex matrices that treats the degenerate cases and represents the boundary generating curves..
In Section 3, we construct examples of symmetric rational orthogonal matrices with specified indecomposable zero-pattern and specified trace.. In Section 4, we construct some
Also, it is known (see [3]) that any product of n − 1 fully indecomposable stochastic matrices of order n must have all positive entries, so the problem may be restricted to the
For normal matrices in WPFn and those in WPFn for which the spectral radius is simple, we present approximating matrices that satisfy the strong P-F property and are polynomials
The eigenvalues of the L ( G ), especially the largest and the second smallest eigenvalues, are important in graph theory, because they have relations to numerous graph
