article12_6. 233KB Jun 04 2011 12:06:56 AM
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We then use the basic fact that all totally positive nonsingular square matrices are products of matrices with strictly positive diagonal entries, and all other entries zero aside
It is known that for a totally positive (TP) matrix, the eigenvalues are positive and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has
Specif- ically, in [1, 5] it is proven that totally positive (resp., strictly totally positive) ma- trices, that is matrices with all theirs minors greater than or equal to zero
Applying the properties of the Hadamard core for totally nonnegative matrices, we obtain the Schur complement inequalities for the Hadamard product of totally nonnegative
A characteristic function of a quadratic Wiener functional is a key object to investigate the principle of stationary phase on the Wiener space, and its exponential decay
While a stochastic oscillatory integral with quadratic Wiener functional as phase function has a general representation via Carleman- Fredholm determinant ([3, 6, 10]), in
We now see that the flow compensator Λ of N (on [0 , 1] 2 ) characterizes the law of the point process in two extreme cases: the totally ordered point process (all jump points
Representation of integers (or primes) by binary quadratic forms has an impor- tant role on the theory of numbers and many authors considered this problem.. In fact, this
