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MATHS 7104 Numerical Methods

Question

Answered

Task:

In this task you must implement a number of algorithms in matlab. In questions of implementing algorithms you must implement the

The algorithm itself, do not use built-in functions. The permissible commands are elementary actions Includes operations on matrices (transition). Beyond the elementary operations loops can be used And base functions like abs, sum.

The solution should be submitted in a word file with the addition of relevant matlab code, if you want to submit the

The code separately then must be attached separately as a file with the extension m

Question 1

Given a matrix A

Perform cholesky decomposition A = R * R 'For this purpose pay attention to the condition of cholesky and change the position of the rows accordingly.

For the purpose of writing this algorithm you need to use the lu command to perform the LU decomposition.

Question 2

A. how many iterations are required in order to reach the accuracy of 

B. Write the solutions of X as  vector in matlab FOR EXAMPLE   

C. Write matrix b in matlab 

D. Write vector c in matlab 

MATHS 7104 Numerical Methods

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