Name
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1145/1277548.1277565 | ISSAC |
Keywords | Field | DocType |
possible solution,matrix equation,matrix a,mathematical biology,general matrix equation,lambert w function,practical interest,matrix function,delay differential equations y,matrix lambert w,matrix theory | Convergent matrix,Applied mathematics,Discrete mathematics,Pascal matrix,Nonnegative matrix,Mathematical analysis,Matrix function,Square matrix,Symmetric matrix,Matrix differential equation,Centrosymmetric matrix,Mathematics | Conference |
Citations | PageRank | References |
4 | 0.57 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Robert M. Corless | 1 | 1239 | 127.79 |
| Hui Ding | 2 | 4 | 0.90 |
| Nicholas J. Higham | 3 | 1576 | 246.67 |
| David J. Jeffrey | 4 | 1172 | 132.12 |