getdoc41e2. 222KB Jun 04 2011 12:04:18 AM
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Characterizations are obtained for Schur (Hadamard) multiplicative maps on com- plex matrices preserving the spectral radius, numerical radius, or spectral norm.. Similar results
In the present case, the motivation for establishing Theorem 1 comes from the study of the moments of random real symmetric (or hermitian) matrices known as the Wigner ensemble.. [
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
Except for the Toeplitz and Hankel matrices, the common patterned matrices for which the limiting spectral distribution (LSD) are known to exist share a common property–the number
Abstract : We study the weak convergence for the row sums of a general triangular array of empirical processes indexed by a manageable class of functions converging to an
Abstract. Following the investigation by U. Thorbjørnsen, we present a simple differential approach to the limit theorems for empirical spectral distributions of complex random
Key words: bifurcating autoregressive process ; tree-indexed times series; martingales ; least squares estimation ; almost sure convergence ; quadratic strong law; central
For large random matrices similar to those considered here, concentration of the spectral measure was also studied by Guionnet and Zeitouni [ 9 ] , who considered Wishart matrices X ′
