Basic HTML version of Foils prepared March 15 00

Foil 7 Formalism for Iterative Methods

From Collection of Extra Foils for CPS615 PDE Iterative Solution Discussion CPS615 Spring Semester 00 -- March 00. by Geoffrey C. Fox
1 Generic Iteration Strategy is to split matrix
  • A = M-N
  • so that it is much easier to invert M than A and in particular that inverting M can exploit zero structure of A
2 Ax = b implies Mx = Nx + b
3 So write Mxk = Nx(k-1) + b (*)
4 All iteration methods have this form for different choices of M, N for given A and b
5 We must ensure that Iteration (*) converges and we naturally prefer that it converges fast!
in Table To:

© Northeast Parallel Architectures Center, Syracuse University, npac@npac.syr.edu

If you have any comments about this server, send e-mail to webmaster@npac.syr.edu.

Page produced by wwwfoil on Mon Mar 20 2000