Symbolic Computation Group

David R. Cheriton School of Computer Science
University of Waterloo, Waterloo, Ontario, Canada

Notes about the Matrix Lambert W Function
David Jeffrey, University of Western Ontario
Friday, September 14, 2007, at U. of Waterloo.

Abstract:

We study the solutions of the matrix equation S exp(S) = A where S and A are matrices, equations which arise naturally in the study of delay differential equations y'(t) = A y(t).

The talk will concentrate on the distinction between evaluating a matrix function and solving a matrix equation. In particular, we will show that the matrix Lambert W function evalauted at the matrix A does not represent all possible solutions to the matrix equation S exp(S) = A. The results themselves can be extended to more general matrix equations.

 

Last modified on Sunday, 04 November 2012, at 20:42 hours.