2  
 x1+x2**2;
 1.5*x1*x2+x2**2+x2**3;

TITLE : decker3, one regular root and the origin is double

Besides one regular root, the origin appears with multiplicity two.
One deflation suffices.

REFERENCES :

D.W. Decker, H.B. Keller, C.T. Kelley:
"Broyden's method for a class of problems having 
 singular Jacobian at the root."
SIAM J. Numer. Anal. 22, 566-574, 1985

THE SOLUTIONS :
3 2
===========================================================
solution 1 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x2 :  1.93584189371047E-08  -3.76778264325582E-09
 x1 : -2.57203498484257E-23   1.67296865319508E-23
== err :  2.313E-08 = rco :  4.625E-08 = res :  1.013E-15 ==
solution 2 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x2 : -6.79169984292363E-10   1.98506748476749E-10
 x1 :  9.31975989016455E-28  -1.06749809400614E-27
== err :  8.777E-10 = rco :  1.755E-09 = res :  1.383E-18 ==
solution 3 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x2 :  2.00000000000000E+00  -5.93472984109987E-67
 x1 : -4.00000000000000E+00   2.07715544438496E-66
== err :  2.506E-51 = rco :  1.325E-02 = res :  5.935E-67 ==