morrison37. 319KB Jun 04 2011 12:09:15 AM
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Kouachi [6], we generalized the above results concerning the eigenvalues of tridiagonal matrices (1) satisfying condition (2), but we were unable to calculate the
On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure. Matrix
Further, we give some L¨ owner partial orders for compound matrices of Schur complements of positive semidefinite Hermitian matrices, and obtain some estimates for eigenvalues of
Applying the properties of the Hadamard core for totally nonnegative matrices, we obtain the Schur complement inequalities for the Hadamard product of totally nonnegative
Since interesting cases, like the multiplicative free convolution of a semicircle with a free Poisson distribution (corre- sponding in the random matrix language to the product of
GUE, eigenvalues of random matrices, Hermitian Brownian motion, non-colliding Brownian motions, Weyl chamber, queues in series, Burke’s theorem, reversibility, Pitman’s representa-
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
Because the restricted flows of soliton equations are just the stationary problems of SESCSs and the Lax pairs of restricted flows can always be deduced from the adjoint
