3 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
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…
A practical factorization of a Schur complement for PDE-constrained Distributed Optimal Control
Youngsoo Choi, Charbel Farhat, Walter Murray +1
A distributed optimal control problem with the constraint of a linear elliptic partial differential equation is considered. A necessary optimality condition for this problem forms…
Matrix-Free Approximate Equilibration
Andrew M. Bradley, Walter Murray
The condition number of a diagonally scaled matrix, for appropriately chosen scaling matrices, is often less than that of the original. Equilibration scales a matrix so that the sc…