suivant: fsolve with the option
monter: Numerical computations
précédent: fsolve or nSolve with
Table des matières
Index
Solve systems with fsolve
Xcas provides six methods (inherited from the GSL)
to solve numeric systems of equations
of the form f (x) = 0:
- Three methods use the jacobian matrix f'(x) and their names are
terminated with j_solver.
- The three other methods use approximation for f'(x) and use only
f.
All methods use an iteration of Newton kind
xn+1 = xn - f'(xn)-1*f (xn)
The four methods hybrid*_solver use also a method of
gradient descent when the Newton iteration would make a too large step.
The length of the step is computed without scaling
for hybrid_solver and hybridj_solver
or with scaling (computed from f'(xn)) for
hybrids_solver and hybridsj_solver.
Sous-sections
giac documentation written by Renée De Graeve and Bernard Parisse