2 x**2+y-3; x+0.125*y**2-1.5; TITLE : ojika1, one regular and one triple root, two deflations needed The system has one regular root and one triple root, for which two deflations are required. REFERENCES : T. Ojika: "Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations." J. Math. Anal. Appl. 123, 199-221, 1987. THE SOLUTIONS : 4 2 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : -3.00000000000000E+00 0.00000000000000E+00 y : -6.00000000000000E+00 0.00000000000000E+00 == err : 0.000E+00 = rco : 1.965E-01 = res : 0.000E+00 == solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : 9.99995996645892E-01 2.90042038160562E-08 y : 2.00000800669703E+00 -5.80082882217080E-08 == err : 6.675E-06 = rco : 2.922E-12 = res : 7.423E-12 == solution 3 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : 9.99997474629442E-01 -5.20158433080490E-06 y : 2.00000505076133E+00 1.04031431625426E-05 == err : 3.885E-06 = rco : 9.307E-12 = res : 1.863E-12 == solution 4 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x : 9.99998182236421E-01 -3.14843605387998E-06 y : 2.00000363553377E+00 6.29686066191760E-06 == err : 8.602E-08 = rco : 3.611E-12 = res : 7.957E-16 ==