vol18_pp69-87. 208KB Jun 04 2011 12:06:05 AM
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In this paper, using the maximal rank of the generalized Schur complement, a new simpler equivalent condition is obtained in terms of only the ranks of the known matrices for
Strongly quadrangular matrices have been introduced in the study of the combi- natorial properties of unitary matrices.. However, the converse is not
that this conjecture is not true in general for matrices with minimal rank equal to three and for matrices of size n n , n 6.. In this paper we prove that this conjecture is true
symmetry of shifted basic circulant permutation matrices is proven, and is then used to answer the question which complex numbers can serve as eigenvalues of sign symmetric 3 ×
In this paper, using the maximal rank of the generalized Schur complement, a new simpler equivalent condition is obtained in terms of only the ranks of the known matrices for
In this section we extend the results of Section 2 for idempotent matrices of the form (2.2) for some Schur complements with zero diagonal entries.. We start with the following
Applying the properties of the Hadamard core for totally nonnegative matrices, we obtain the Schur complement inequalities for the Hadamard product of totally nonnegative
This result implies almost sure convergence of empirical periodograms, almost sure convergence of spectral distribution of circulant and reverse circulant matrices, and almost
