vol20_pp241-253. 141KB Jun 04 2011 12:06:07 AM
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In view of the wide range of applications, both of the polar decomposition and of companion matrices, an explicit formula for C = P U is useful.. It
Characterizations are obtained for Schur (Hadamard) multiplicative maps on com- plex matrices preserving the spectral radius, numerical radius, or spectral norm.. Similar results
Our heuristic claims that, in the absence of any other algebraic structure, the probability that each matrix in a space of n by n matrices has rank n − r should be
Laplacian matrix, Algebraic connectivity, Caterpillar, Bottleneck matrices, Perron branches, Characteristic vertices.. AMS
The class of symmetric real matrices having exactly one pos- itive eigenvalue will be denoted by B.. The class of positive matrices belonging to B will be denoted by A ;
Zhang (2010) proved inequalities between the spectral radius of Hadamard products of finite nonnegative matrices and the spectral radius of their ordinary matrix product.. We will
Keywords: Random Matrices, Block-Matrices, Limiting Spectral Measure, Circulant Block- Matrix, Semicircular Noncommutative Random
Still in the Gaussian case, [13] derived upper bounds of large deviations type for the spectral measure of band matrices, including certain sample covariance matrices.. Her
