Numerical Methods for Electrical and Computer Engineers
ECE 204

Fall 2009
Tutorial 6 1. Write Matlab code which finds the coefficients of the bestfitting exponential curve passing through the points (2, 2), (1, 3), (0, 5), (1, 9), (2, 16). Evaluate this exponential curve at the point x = 0.1. Do not evaluate any of the stat
Numerical Methods for Electrical and Computer Engineers
ECE 204

Fall 2009
Tutorial 11 1. Apply one step of the RungeKutta method to approximate the value of y(2) for the initialvalue problem defined by y(1)(t) = y(t) t + 1 y(0) = 1. 2. Recall that for a differential equation of the form y(1)(t) = f(y,t), y(t0) = y0, the error
Numerical Methods for Electrical and Computer Engineers
ECE 204

Fall 2009
Tutorial 5 1. Perform three iterations of the algorithm for finding the maximum  3 4 0 eigenvalue of a matrix M = 4 3 starting with the vector v1 = 1 . Will this iteration process converge? 2. Calculate the 1 and infinitynorms of the matrix 5 4 3  4 
Numerical Methods for Electrical and Computer Engineers
ECE 204

Fall 2009
Tutorial 3 1. Find the LUP factorization of the matrix 6 1 2 0 0 0.6 0.1 10.2 A= 8 0 2 1 0 4.4 0.2 1.6 2. What is the LUP factorization of the matrix a b c d 0 0 e f where all character variables represent nonzero values? 0 g h i 0 0 0 j 3. Given the LUP