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It is shown that if the connected graph of the specified entries of a combinatorially symmetric, partial totally positive matrix is monotonically labeled block clique, then there is
Eigenvalue, Majorization, Matrix absolute value, Matrix inequality, Matrix norm, Normal matrix, Positive semidefinite matrix, Singular value, Spread, Wielandt inequality.. AMS
It is proved that a nonnegative matrix generated by a Soules matrix is a completely positive matrix with cp-rank equal to the rank..
In this paper, the problem of constructing a real symmetric doubly arrow matrix A from two special kinds of spectral information is considered.. The first kind is the minimal
The spectral norm is also of the same order for other related random matrix ensembles, including random Hankel matrices.. A family of random variables is uniformly subgaussian if
In the dependent case, the limit N may not be a Poisson process, but belongs to the class of infinitely divisible point processes (under generally weak assumptions).. This
In Section 3 we give some simple examples of how to use Theorems 1.1 and 1.2 to estimate the expected value of the norm of Hilbert space valued infinitely divisible random variables
An exact general formula for the expected length of the minimal spanning tree (MST) of a connected (possibly with loops and multiple edges) graph whose edges are assigned
