2 x1**2-x2; x1**2+x2; TITLE : baker1, with one double root at the origin, one deflation okay One deflation suffices to find the double root. REFERENCES : R. Baker Kearfott and Jianwei Dian: "Existence Verification for Higher Degree Singular Zeros of Nonlinear Systems." SIAM J. Number. Anal. Vol. 41, No. 6, 2350-2373, 2003 THE SOLUTIONS : 2 2 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 5.01534872621600E-09 -3.44235793331876E-09 x2 : -3.08147208536008E-33 1.23259516440783E-32 == err : 8.458E-09 = rco : 1.692E-08 = res : 9.567E-17 == solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -5.01534872621600E-09 3.44235793331876E-09 x2 : -3.08147208536008E-33 1.23259516440783E-32 == err : 8.458E-09 = rco : 1.692E-08 = res : 9.567E-17 ==