vol17_pp28-47. 209KB Jun 04 2011 12:06:00 AM
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The following proposition is a consequence of [V], p.140, Theorem 2’ (the quoted theorem of Varopoulos is stronger than this statement):..
By using majorization inequalities, we propose a new upper bound for summations of eigenvalues (including the trace) of the solution of the continuous algebraic Riccati equation..
Leoncini presented a linear time algorithm for check- ing the nonsingularity of general tridiagonal matrices [ BIT , 36:206, 1996].. A detailed implementation of their algorithm,
In this section we extend the results of Section 2 for idempotent matrices of the form (2.2) for some Schur complements with zero diagonal entries.. We start with the following
In Section 3, we construct examples of symmetric rational orthogonal matrices with specified indecomposable zero-pattern and specified trace.. In Section 4, we construct some
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
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
Thus, it may be interesting to compare our results with those known for subordinators in the case where the associated Laplace exponent is regularly varying at 0.. On the one hand,
