(10 Points) Can one claim that (cond z)(x) ≤ (cond f)(x) + (cond g)(x) + (cond h)(x) + (cond j) (x) where z(x) = f(x) *
Posted: Mon Jun 06, 2022 4:49 pm
(10 Points) Can one claim that (cond z)(x) ≤ (cond f)(x) + (cond g)(x) + (cond h)(x) + (cond j) (x) where z(x) = f(x) * g(x) ⋆ h(x) * j(x)? You may genaralize the problem to n functions. (a) Start by computing z'(x) = (f(x) * g(x) * h(x) * j (x)). (b) Computer and simplify the result. (c) Use the general form of the condition number. (d) State your final answer.