Basic HTML version of Foils prepared February 25 2000
| Especially in cases where the "force" is linear in the ?i(t) , it is convenient to think of force being specified by a matrix M whose elements mij are nonzero if and only if the force between i and j is nonzero. A typical force law is: Fi = ? mij ?i(t) |
| In Laplace example, the matrix M is sparse ( most elements are zero) and this is a specially common case where one can and needs to develop efficient algorithms |
| We will return to the matrix formulation in the case of partial differential solvers |