Motivation(cont.) In genetal,we cannot exploit the function,e.g.: 22-10x+1=0 and cosh(Vz2+1-e)+log sinx=0 Note:at times 3 multiple roots e.g.,previous parabola and cosine we want at least one we may only get one(for each search) Need a general,function-independent algorithm. Copyright©2011，NA⊙Yin Last Modification:Oct.2011 4Motivation(cont.) • In genetal, we cannot exploit the function, e.g.: 2 x 2 − 10x + 1 = 0 and cosh(p x 2 + 1 − e x ) + log |sin x| = 0 • Note: at times ∃ multiple roots ∗ e.g., previous parabola and cosine ∗ we want at least one ∗ we may only get one(for each search) Need a general, function-independent algorithm. Copyright c 2011, NAYin Last Modification: Oct. 2011 4