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math.OC2019
On the Determinant and its Derivatives of the Rank-one Corrected Generator of a Markov Chain on a Graph
Jerzy A Filar, Michael Haythorpe, Walter Murray
We present an algorithm to find the determinant and its first and second derivatives of a rank-one corrected generator matrix of a doubly stochastic Markov chain. The motivation ar…
math.OC2015
Finding a Hamiltonian cycle by finding the global minimizer of a linearly constrained problem
Michael Haythorpe, Walter Murray
It has been shown that a global minimizer of a smooth determinant of a matrix function corresponds to the largest cycle of a graph. When it exists, this is a Hamiltonian cycle. Fin…