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**maximum number of iterations:**
- The corrector stops when the desired accuracy is reached or when
it has exhausted its maximum number of iterations.
A low maximum enforces quadratic convergence and keeps the
path tracker close to the solution paths.
A higher maximum may be needed at the end of the solution path,
when quadratic convergence can no longer be obtained due to
singularities.
**relative precision for residuals:**
- The residual is the norm of the vector obtained after
evaluating
the current approximation vector in the polynomial system.
The corrector stops when the residual divided by the norm of the
approximation vector is lower than or equal to the required precision
or when another required precision is attained.
**absolute precision for residuals:**
- The residual is the norm of the vector obtained after evaluating
the current approximation vector in the polynomial system.
The corrector stops when the residual is lower than or equal to the
required precision or when another required precision is attained.
**relative precision for corrections:**
- The correction
is the norm of the last vector used to update the
current approximation vector.
The corrector stops when the correction divided by the norm of the
approximation vector is lower than or equal to the required precision
or when another required precision is attained.
**absolute precision for corrections:**
- The correction is the norm of the last vector used to update the
current approximation vector.
The corrector stops when the correction is lower than or equal to the
required precision or when another required precision is attained.

** Next:** Solution tolerances
** Up:** Polynomial Continuation
** Previous:** Adaptive step-size control
*Jan Verschelde*

*3/7/1999*