OOF2: The Manual
Picard (Picard) — Solve nonlinear equations with Picard iteration. Picard converges more slowly than Newton's method, but does less work per iteration.
- Relative tolerance for convergence to a nonlinear solution. Type: A real number.
- Absolute tolerance for convergence to a nonlinear solution. Type: A real number.
- Maximum number of iterations for convergence to a nonlinear solution. Type: Integer.
Given equations of the form
where is a vector of unknowns
Field values), is a nonlinear
matrix-valued function of , and is a vector, and a
trial solution , the next trial
solution is obtained by solving
Picard iterates this procedure until the
or when the
maximum_iterations limit is exceeded.
We've written equation (6.152), which is
being solved by