debian man page for newton

Query: newton

OS: debian

Section: 4rheolef

Format: Original Unix Latex Style Formatted with HTML and a Horizontal Scroll Bar

newton(4rheolef)						    rheolef-6.1 						  newton(4rheolef)

NAME
newton -- Newton nonlinear algorithm
DESCRIPTION
Nonlinear Newton algorithm for the resolution of the following problem: F(u) = 0 A simple call to the algorithm writes: my_problem P; field uh (Vh); newton (P, uh, tol, max_iter); The my_problem class may contains methods for the evaluation of F (aka residue) and its derivative: class my_problem { public: my_problem(); field residue (const field& uh) const; void update_derivative (const field& uh) const; field derivative_solve (const field& mrh) const; Float norm (const field& uh) const; Float dual_norm (const field& Muh) const; }; See the example p-laplacian.h in the user's documentation for more.
IMPLEMENTATION
template <class Problem, class Field> int newton (Problem P, Field& uh, Float& tol, size_t& max_iter, odiststream *p_derr = 0) { if (p_derr) *p_derr << "# Newton: n r" << std::endl; for (size_t n = 0; true; n++) { Field rh = P.residue(uh); Float r = P.dual_norm(rh); if (p_derr) *p_derr << n << " " << r << std::endl; if (r <= tol) { tol = r; max_iter = n; return 0; } if (n == max_iter) { tol = r; return 1; } P.update_derivative (uh); Field delta_uh = P.derivative_solve (-rh); uh += delta_uh; } } rheolef-6.1 rheolef-6.1 newton(4rheolef)
Related Man Pages
point(2rheolef) - debian
tensor(2rheolef) - debian
adapt(4rheolef) - debian
puzawa(4rheolef) - debian
prism(7rheolef) - debian
Similar Topics in the Unix Linux Community
T5220 Console Problem
Problem in getting the ps information with field separator
Problem adding into an array field!!!
Problem updated file with new entries
Problem of redirection with &lt;&lt;! ... !)