Evaluating Matrix Functions by Resummations on Graphs: the Method of Path-Sums

We introduce the method of path-sums which is a tool for exactly evaluating a function of a discrete matrix with possibly non-commuting entries, based on the closed-form resummation of infinite families of terms in the corresponding Taylor series. If the matrix is finite, our approach yields the exa...

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Bibliographic Details
Main Authors: Giscard, P, Thwaite, S, Jaksch, D
Format: Journal article
Language:English
Published: 2011