getdoc8042. 197KB Jun 04 2011 12:04:35 AM
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These include the group G (1) of matrices whose columns are identical except for initial zeros, and also the group G (2) of matrices in which the odd-numbered columns are
We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral
The techniques employed in this paper are also applicable to Toeplitz matrices generated by rational symbols b and to the condition numbers associated with l.. p
The asymptotics of the Schatten norms of finite Toeplitz matrices generated by functions with a Fisher-Hartwig singularity are described as the matrix dimension n goes to infinity..
For normal matrices in WPFn and those in WPFn for which the spectral radius is simple, we present approximating matrices that satisfy the strong P-F property and are polynomials
Both infinite and sequences of finite Toeplitz matrices are considered, and also studied is the finite section method, which consists in approximating infinite systems by large
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
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 ′
