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COMPARISON OF THE FOUR METHODS
4 other sections not shown
algorithm approximation boundary value problem BRENT 54K Brent's method Brown's method Broyden Broyden's method component function evaluations compute Differential Equation Discretization Method DIV DIV BRENT DIV DIV NSOIA DIV DIV ZSYSTM DIV ZSYSTM DIV FCNEVALS NBITER FEVALS NITER F(X*)||2 FORTRYN four methods FUNCTION IS EVYLUYTED Gaussian elimination Hammerstein integral equation Householder transformation identity matrix initial guess integral equation method iteration ITERYTIONS Jacobian matrix KTH COHPONENT kth stage listed in Figures LYNGUYGE modified version MVOBM 40K MVOBM and BRENT MVOBM DIV DIV nk Ek nonlinear equations NSO1A DSTEP NSOIA DIV DIV orthogonal matrix permutation matrix plane rotations point boundary value Powell's hybrid method Powell's singular function Qk+1 quadratic convergence rate of convergence real additions real multiplications results are listed Section 6.2 solution STORAGE CPUTIME sec storage locations subiterate subroutine stops superlinearly system of nonlinear upper triangular matrix vector version of Brown's zero ZSYSTM DIV DIV