vol13_pp10-39. 428KB Jun 04 2011 12:05:52 AM
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This paper considers the maximum value of the permanent over the class H (m, n) of n × n Hessenberg, (0, 1)-matrices with m 1’s, and shows that among those matrices that attain
They introduced the terms “essentially nonnegative matrix” for matrices whose off-diagonal elements are nonnegative and “essentially positive matrix” for essentially
Nonnegative matrices, Diagonal similarity scaling, Diagonal equivalence scaling, Digraph of a matrix, Cyclic product, Cycle mean, Lattice ordered commutative groups.. AMS
Structured matrices, Matrix groups, Givens rotations, Householder reflections, Complex orthogonal, Symplectic, Complex symplectic, Conjugate symplectic, Real
Generalizing the Bruhat order for permutations (so for permutation matrices), a Bruhat order is defined for the class of m by n (0, 1)-matrices with a given row and column sum
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 ×
A matrix is said to be totally positive sign equivalent if it can be written in the form D 1 QD 2 with Q totally positive and D 1 and D 2 diagonal matrices.. with diagonal
We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large di- mensional Toeplitz, circulant and symmetric circulant matrices when the
