MAE 384: Numerical Methods

Problem 7 ONLY. (other problems listed to provide context)

Problem 4 (5 points)

Modify your Matlab function "myGaussJordan" from previous Homework to include partial pivoting. Name the new function "myGaussJordanPartialPivot" using the same input and output variables as before.

Problem 5 (3 points)

Write a Matlab function "myInverse" that takes as input a square matrix A and returns as output the inverse of A using Gauss-Jordan with partial pivoting. Within the function, use a call to myGaussJordanPartialPivot to find the inverse.

Problem 6 (5 points)

Write a Matlab function "myOneNorm" that takes as input a matrix A and returns as output the one-norm of the matrix.

Problem 7 (3 points)

Write a Matlab function "myCondOne", that takes as input a matrix A and returns as output the condition number of the matrix using the one-norm. Within the function call the functions "myInverse" and "myOneNorm" you developed in problems 5 and 6.