vol16_pp30-43. 164KB Jun 04 2011 12:05:57 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
The converse is also studied: given an SDD matrix C with the structure of a k -subdirect sum and positive diagonal entries, it is shown that there are two SDD matrices whose
Toward these matrices one usually introduces the first row and column as initial conditions for a recurrence relation used for constructing the other entries.. Both this relation
When the algorithm was used on 325,000 matrices of varying sizes and Jordan block patterns with a randomly generated vector v , the error exceeded 0. 7) with the size of the
The minimum rank problem is the problem of finding the smallest rank of a matrix in the set of symmetric matrices having the zero-nonzero pattern of off-diagonal entries described by
Since no two collisions occur simultaneously, the number of collisions C n in the Λ-coalescent starting with n particles is the number of steps the Markov chain M n needs to
Remark 24 Recall that to prove Proposition 8, we used Proposition 1 to establish the fact that if there is a coalescent process satisfying conditions B1 and B2 of Theorem 2, then
We prove here (by showing convergence of Chen’s series) that linear stochastic differential equa- tions driven by analytic fractional Brownian motion [6, 7] with arbitrary Hurst index
