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15-Jan-2026 15:04:42

newton_maehly_test():
  MATLAB/Octave version: 9.11.0.2358333 (R2021b) Update 7
  newton_maehly() uses the Newton Maehly algorithm
  to compute all roots of a polynomial.

newton_maehly_test01():
  Try newton_maehly() on a degree four polynomial with a pair of complex roots.

  Polynomial to be analyzed: = 
     +1.000000 * x^4
    -26.000000 * x^2
    -75.000000 * x
    -56.000000

  Iter  Change  ||Poly||

     1       41.248     4.31e+06
     2       19.637   4.4339e+05
     3       11.403        39880
     4       6.1956       3174.8
     5       3.5015       164.82
     6       1.6746       14.388
     7        1.544       10.828
     8      0.71265      0.30318
     9     0.017664   6.9605e-07
    10    4.096e-08    7.816e-14
    11   8.9509e-16    7.816e-14

  Computed roots:
   6.2749 + 0.0000i  -1.2749 + 0.0000i  -2.5000 + 0.8660i  -2.5000 - 0.8660i

  Exact roots:
   6.2749 + 0.0000i  -1.2749 + 0.0000i  -2.5000 + 0.8660i  -2.5000 - 0.8660i


newton_maehly_test():
  Normal end of execution.
15-Jan-2026 15:04:42