vol17_pp118-138. 209KB Jun 04 2011 12:05:59 AM
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Two other cases are discussed: when A is normal it is shown that the sequence of approximating matrices A ( ε ) can be written as a quadratic polynomial in trigonometric functions,
Matrix functions, Generalization of nonnegative matrices, Eventually nonnegative matrices, Eventually positive matrices, Exponentially nonnegative matrices, Eventually exponen-
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..
Circulant matrix, A -Factor circulant matrices, Block Vandermonde and Fourier matrices, Rotation and hyperbolic matrices, Generalized Euler formula matrices, Periodic solutions..
In this paper, using the maximal rank of the generalized Schur complement, a new simpler equivalent condition is obtained in terms of only the ranks of the known matrices for
The following result gives a necessary and sufficient condition for a sign pattern to require a PLI, where we consider signings with at least one diagonal entry in {− , 0} instead
A is invertible, it connects to two nonequivalent maximal matrices, and when A is singular, there exists at least one maximal matrix which A connects to, but which is not its
This result has consequences for the Hausdorff dimension of the frontier of planar Brownian motion, and also for the Hausdorff dimension of the set of cut-points of planar
