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On the other hand, in the system theory framework, the CH Theorem for generalized systems is expected to be a linear relation among consecutive fundamental matrix coefficient
Abstract: In this note, we shall investigate the Hölder continuity of matrix functions ap- plied to normal matrices provided that the underlying scalar function is Hölder
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
Characterizations are obtained for Schur (Hadamard) multiplicative maps on com- plex matrices preserving the spectral radius, numerical radius, or spectral norm.. Similar results
Abstract. Following the investigation by U. Thorbjørnsen, we present a simple differential approach to the limit theorems for empirical spectral distributions of complex random
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 ′
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
Key words: Large dimensional random matrix, eigenvalues, circulant matrix, symmetric circu- lant matrix, reverse circulant matrix, k circulant matrix, empirical spectral
