MCS 471 Fall 2004 Class GSS Example G(x) = exp(x)-2*x; tolx = 0.5e-1; r4 precision; k a b d x u gx gu 2 0.0000 1.0000 1.0000 0.3820 0.6180 0.7012 0.6192 3 0.3820 1.0000 0.6180 0.6181 0.7639 0.6192 0.6188 4 0.6180 1.0000 0.3820 0.7639 0.8541 0.6188 0.6411 5 0.6180 0.8541 0.2361 0.7082 0.7639 0.6139 0.6188 6 0.6180 0.7639 0.1459 0.6737 0.7082 0.6141 0.6139 7 0.6737 0.7639 0.0902 0.7082 0.7294 0.6139 0.6150 8 0.6737 0.7299 0.0562 0.6952 0.7084 0.6137 0.6139 9 0.6737 0.7084 0.0347 0.6870 0.6951 0.6137 0.6137 STOP gss Answer: Min[G] =(r4) 0.6137; Xmin =(r4) 0.6870 OR 0.6951; IntervalOfUncetainty =(r4) [0.6737 0.7084] fminbnd Answer: xminbnd=0.6924; gminbnd=0.6137; Exact Answer: xmin=log(2)=0.6931; gmin=0.6137; >>