I (k+1))/Az(k)). We know that link-aoTk = λί n the power method, let Tk φ(T Show that the relativ...
Please answer both part. Thanks. In the power method, let rk d(x(k+1))/ф(z(k)). We know that limk-oo rk Show that the relative errors obey 1- Ai where the numbers ck form a convergent (and hence bounded) sequence. (Continuation) Show that rk +1-λι-(c+&J(rk-A) where Icl < 1 and limn-o0 Sk 0, so that Aitken acceleration is applicable. In the power method, let rk d(x(k+1))/ф(z(k)). We know that limk-oo rk Show that the relative errors obey 1- Ai where the numbers ck form...
(k)) In the power method, let r,-φ(z(k+1))/φ(z(k)). We know that limk-oork Show that the relative errors obey We know Ai. (는) Ck where the numbers ck form a convergent (and hence bounded) sequence. (k)) In the power method, let r,-φ(z(k+1))/φ(z(k)). We know that limk-oork Show that the relative errors obey We know Ai. (는) Ck where the numbers ck form a convergent (and hence bounded) sequence.
Please all thank you Exercise 25: Let f 0,R be defined by f(x)-1/n, m, with m,nENand n is the minimal n such that m/n a) Show that L(f, P)0 for all partitions P of [0, 1] b) Let mE N. Show that the cardinality of the set A bounded by m(m1)/2. e [0, 1]: f(x) > 1/m) is c) Given m E N construct a partition P such that U(f, Pm)2/m. d) Show that f is integrable and compute Jo...