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nls_newton_raphson


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 -- Function File[Y,NUMIT,RESNRM] =: nls_newton_raphson
          (Y0,RES,JAC,TOL,MAXIT,VERBOSITY,UPDATE);

     Solve a non-linear system of equations using the Newton-Raphson method with
     damping and return the computed solution vector Y.

     The initial guess for the algorithm is set to Y0.

     The Jacobian and residual at each step are computed via the function
     handles RES and JAC.

     The variables TOL and MAXIT are the relative tolerance on the error of the
     computed solution and the maximum number of iterations to be performed by
     the algorithm.

     The optional parameter VERBOSITY produce verbose output if non-zero.

     The optional function handle UPDATE may be used to provide a faster mean to
     update Jacobian and residual at runtime.

     NUMIT is the number of performed iterations while RESNRM is a vector
     containing the residual norm at each step.

     See also:
     nls_stationary,tst_backward_euler,tst_theta_method,tst_daspk,tst_odepkg.


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Solve a non-linear system of equations using the Newton-Raphson method with
d...



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nls_stationary


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 -- Function File: [OUT, NITER] = nls_stationary (INSTRUCT,X,TOL,MAXIT)
     Compute the stationary state solution OUT of the system described by
     INSTRUCT.

     X is the initial guess used by the Newton-Raphson algorithm implemented in
     ‘nls_newton_raphson’, while TOL and MAXIT are the corresponding parameters.

     The optional output NITER returns the number of Newton iterations needed to
     reach convergence.

     See also: nls_newton_raphson.


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Compute the stationary state solution OUT of the system described by INSTRUCT.





