vol17_pp48-53. 100KB Jun 04 2011 12:06:01 AM
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We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite field
Combinatorial matrix theory, Inertia, Inverse eigenvalue problem, Inverse inertia problem, Graph, Minimum positive semidefinite rank, Minimum rank, Nil vertex, Symmetric.. AMS
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
Among the P -matrices are several important and well-studied matrix subclasses (see [5, 6]for more information on these classes of matrices): An (invertible) M -matrix is a
Inverse eigenvalue problem, Symmetric stochastic matrix, Symmetric nonnegative matrix, Distance matrix.. AMS
Finite differences, Polynomial space, Polynomial basis, Change of basis, Sum of powers of integers, Infinite lower triangular matrix.. AMS
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
result and known Perron-Frobenius theory of eventually nonnegative matrices are used to establish an algorithm to determine whether a matrix is strongly eventually nonnegative (i.e.,
