Calculate the sequence from aitken’s method, Engineering Mathematics

Assignment Help:

Values from the iteration x = cos(x) are:

x0 = 0.8, x1 = 0.696707, x2 = 0.766959, x3 = 0.720024, x4 = 0.751790, x5 = 0.730468.

a) Calculate the sequence {yn} from Aitken's ?2 method. Given that the solution of x = cos x is 0.739085133 . . . , ?nd the rations between consecutive errors in {xn} (which approach a constant A) and also in {yn} (which approach another constant, say B). Con?rm that {yn} is converging twice as fast as {xn} (i.e. that B = A2).

b) Use Steffensen's method: from x0, x1, x2 calculate y0. Then start the iteration again from x3 = y0, and from x3, x4, x5 calculate y1.


Related Discussions:- Calculate the sequence from aitken’s method

Saving account at birth of their children, Parents put $1000 into a saving ...

Parents put $1000 into a saving account at birth of their children. If the account earns interest at 7% p.a compounded yearly, how much money will be in the account when their chil

Beta gamma functions, integral dx/root of sinx using beta and gamma functio...

integral dx/root of sinx using beta and gamma functions

Angle of elevation, If V is the initial speed of the ball at angle of ele...

If V is the initial speed of the ball at angle of elevation a , if the origin of the coordinate system is chosen to coincide with the propulsion device, then the initial conditi

Lean manufacturing, Ask quassignment writing estion #Minimum 100 words acce...

Ask quassignment writing estion #Minimum 100 words accepted#

Electrical, The P.D. at the feeder end of a two wire d.c. distributor is 6...

The P.D. at the feeder end of a two wire d.c. distributor is 600 volts. Two loads are connected to the distributor at distances of 600 feet and 1000 feet from the feeder end and t

Solve the following logarithmic equations, 1. Joe and Sam each invested $20...

1. Joe and Sam each invested $20,000 in the stock market. Joe's investment increased in value by 5% per year for 10 years. Sam's investment decreased in value by 5% for 5 years and

Monthly payment, Ah Fong borrow RM10 000. The yearly simple interest rate i...

Ah Fong borrow RM10 000. The yearly simple interest rate is 10.5%, payable monthly, and the monthly payment is RM200. How much of the 1st payment goes to interest and how much to p

Vector, prove that A=3i+j-2k, B=-i+3j+4k ,C=4i-2j-6k and find the length of...

prove that A=3i+j-2k, B=-i+3j+4k ,C=4i-2j-6k and find the length of the triangle

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd