2 x**4; x-y; TITLE: toy example eg5 which needs three deflations The origin occurs with multiplicity four and three deflations are needed. Instead of the default tolerance of 1.0E-6, it is better to use 1.0E-4 to decide the numerical rank. THE SOLUTIONS : 4 2 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : -9.13236374920890E-05 2.69781069867375E-04 y : -9.13236374920890E-05 2.69781069867375E-04 == err : 2.407E-04 = rco : 6.413E-11 = res : 8.075E-15 == solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : -2.02335802400531E-04 -6.84927281190670E-05 y : -2.02335802400531E-04 -6.84927281190670E-05 == err : 1.806E-04 = rco : 2.705E-11 = res : 2.555E-15 == solution 3 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : 9.13236374920890E-05 -2.69781069867375E-04 y : 9.13236374920890E-05 -2.69781069867375E-04 == err : 2.407E-04 = rco : 6.413E-11 = res : 8.075E-15 == solution 4 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : 2.02335802400531E-04 6.84927281190670E-05 y : 2.02335802400531E-04 6.84927281190670E-05 == err : 1.806E-04 = rco : 2.705E-11 = res : 2.555E-15 ==