29 March 2024 10:34:38 AM

zero_muller_test():
  C++ version
  Test zero_muller(), which uses Muller's method,
  with complex arithmetic, to solve a nonlinear equation.

test01():
  Demonstrate zero_muller() on F(X) = X*X+9.

zero_muller():
  Muller's root-finding method (complex root version)

  Iteration     x_real              x_imag             ||fx||           ||disc||

  -2  0.5  0.5  9.01388
  -1  0  1  8
  0  1  0  10
  1  0  -3  0  18

zero_muller():
  Absolute convergence of |F(X)|.

  X = 0  -3

  with function value F(X):

    FX   = 0  -0
  ||FX|| = 0

test02():
  Demonstrate zero_muller() on F(X) = (X*X+4)*(X-10)*(X+20).

zero_muller():
  Muller's root-finding method (complex root version)

  Iteration     x_real              x_imag             ||fx||           ||disc||

  -2  0.5  0.5  9.01388
  -1  0  1  8
  0  1  0  10
  1  0  -3  0  18

zero_muller():
  Absolute convergence of |F(X)|.

  X = 0  -3

  with function value F(X):

    FX   = 0  -0
  ||FX|| = 0

test03():
  Demonstrate zero_muller() on Zhelyazkov''s function.

zero_muller():
  Muller's root-finding method (complex root version)

  Iteration     x_real              x_imag             ||fx||           ||disc||

  -2  0.5  0.5  9.01388
  -1  0  1  8
  0  1  0  10
  1  0  -3  0  18

zero_muller():
  Absolute convergence of |F(X)|.

  X = 0  -3

  with function value F(X):

    FX   = 0  -0
  ||FX|| = 0

zero_muller():
  Muller's root-finding method (complex root version)

  Iteration     x_real              x_imag             ||fx||           ||disc||

  -2  -1  2  7.2111
  -1  1  2  7.2111
  0  0  1  8
  1  0  -3  0  576

zero_muller():
  Absolute convergence of |F(X)|.

  X = 0  -3

  with function value F(X):

    FX   = 0  -0
  ||FX|| = 0

zero_muller_test():
  Normal end of execution.

29 March 2024 10:34:38 AM