15-May-2025 06:09:05

fsolve_test
  MATLAB/Octave version 6.4.0
  fsolve() seeks a solution x of one or more nonlinear
  equations f(x)=0.
  In MATLAB, fsolve() is in the Optimization toolbox.
  In Octave, fsolve() is directly available.
  In Python, fsolve() is in scipy.optimize.
  In R, fsolve() is available in the pracma library.

fsolve_test01
  Use fsolve() to solve a scalar nonlinear equation.

  Initial:  F(1.5708) = 0.214602
  Final:    F(1.89549) = -1.43351e-10
  Expected: F(1.89549) = 0

  Initial:  F(0) = -1
  Final:    F(0.351734) = -6.92608e-10
  Expected: F(0.351734) = 0

  Initial:  F(-1) = -2.71828
  Final:    F(0) = 0
  Expected: F(0) = 0

  Initial:  F(0.03) = -10.0807
  Final:    F(0.0953446) = -1.56779e-10
  Expected: F(0.0953446) = -2.22045e-16

  Initial:  F(0) = -0.0872665
  Final:    F(22.6576) = 4.76308e-06
  Expected: F(22.6566) = 0

fsolve_test02
  Use fsolve() to solve systems of nonlinear equations.

   #    ------------------------------------------Title    N     ||F(start)||   ||F(root)||

   1                     Generalized Rosenbrock function  10       4.91935     0.0105641
   2                            Powell singular function   4       14.6629   2.94803e-12
   3                        Powell badly scaled function   2       1.06549   1.44089e-07
   4                                       Wood function   4       8550.56   3.36301e-09
   5                             Helical valley function   3            50    2.6496e-07

fsolve_test
  Normal end of execution.

15-May-2025 06:09:05