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A sign pattern is an L -matrix provided it requires linearly independent rows, and is balanceable if it allows a left null vector with no zero entries.. A square L-matrix is

In a similar fashion, it is shown that a real normal Toeplitz matrix must be one of four types: symmetric, skew-symmetric, circulant, or skew-circulant.. Here trigonometric

In the main Theorem 4.1 we show that regularity of interval matrices can be characterized in terms of determinants (Theorem 4.1, condition (xxxii)), matrix inverses (xxx),

A real matrix with nonnegative entries and having a largest eigenvalue of multiplicity just one has a strictly positive left eigenvector (see the Appendix) if and only if there

Combining Lemmas 2.2, 2.3 with Theorem 3.1, we may calculate lower bounds for τ ( A ) which depend on the entries of matrix A when A is a strictly diagonally dominant M

Minimum rank, Symmetric matrix, Finite field, Projective geometry, Polarity.. graph, Bilinear

A technique similar to that of Chan and Li can be found in Thompson’s earlier work [ 6 ] on the diagonal entries and singular values of a square

In this paper we will study the spectral properties of Wigner real symmetric and Hermitian random matrices in the case when the matrix entries have heavy tails of distribution..