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OCR: NONLINEAR SYSTEM SOLVER SAMPLE SCRIPTS Example 1 .Solve the system of eguations = x describing the inter rsection of a unit circle with the line y =X. This problem has two solutions: Starting from 1,1 one expects to obtain the solution (sqrt(2)/2 sqrt(2)/2) Starting from 1) the expected result is sqrt(2)/2 sqrt(2)/2) Of course in general one does not know the solutions of the system in advance or many times, whether there are any solutions and if there are solutions, how many there are Problem Scripts: (see previous screen for Quasi-Newton) Brent: project eqns, solnVector initVector local maxiterations xTolerance fTolerance jacobianReUse; maxiterations 100; xTolerance .0e-6 fTolerance 1.0e jacobianReUse Function eans(index select (index) from case return XI1 ^2+x[2]^2 1 case return x[2]-x[ ...