Abstract
We study the solutions of the matrix equation S exp(S) = A. Our motivation comes from the study of systems of delay differential equations y' (t) = Ay(t - 1), which occur in some models of practical interest, especially in mathematical biology. This paper concentrates on the distinction between evaluating a matrix function and solving a matrix equation. In particular,it shows that the matrix Lambert W function evaluated at the matrix A does not represent all possible solutions of S exp(S) = A. These results can easily be extended to more general matrix equations. Copyright 2007 ACM.
Original language | English |
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Title of host publication | Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC|Proc Int Symp Symbol Algebraic Comput ISSAC |
Pages | 116-121 |
Number of pages | 5 |
DOIs | |
Publication status | Published - 2007 |
Event | ISSAC 2007 - 2007 International Symposium on Symbolic and Algebraic Computation - London, ON Duration: 1 Jul 2007 → … |
Conference
Conference | ISSAC 2007 - 2007 International Symposium on Symbolic and Algebraic Computation |
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City | London, ON |
Period | 1/07/07 → … |
Keywords
- Lambert w function
- Matrix function
- Nonlinear matrix equation