AMATH 341 / CM 271 / CS 371 Assignment 1 Due : Monday January 18, 2010
1. Implement in Matlab two functions function d = det1(A) and function d = det2(A) to compute the determinant of an n n matrix A
AMATH 341 / CM 271 / CS 371 Assignment 2 Due : Wednesday January 27, 2010
1. The matrix factor L that emerges from Gaussian elimination with partial pivoting is almost always surprisingly well conditi
AMATH 341 / CM 271 / CS 371 Assignment 3 Due : Friday February 5, 2010 Instructor: K. D. Papoulia
1. Recall that a Vandermonde matrix is an nn matrix formed from a vector w = (w0 , w1 , w2 , . . . , w
AMATH 341 / CM 271 / CS 371 Assignment 4 Due : Monday February 22, 2010 Instructor: K. D. Papoulia
1. (a) Consider the function f (x) = x/ x2 + 1. This function has a unique root at x = 0. Does Newto
AMATH 341 / CM 271 / CS 371 Assignment 5 Due : Wednesday March 10, 2010 Instructor: K. D. Papoulia
1. In this question you will prove the convergence order for Newtons method. Let x be the root of f (
AMATH 341 / CM 271 / CS 371 Assignment 6 Due : Friday March 19, 2010 Instructor: K. D. Papoulia
1. Suppose A is an n n symmetric positive denite matrix. (a) Derive the Cholesky algorithm for factorizi
AMATH 341 / CM 271 / CS 371 Assignment 7 Due : Monday March 29, 2010 Instructor: K. D. Papoulia
1. Consider a general quadrature scheme for the interval [a, b] that uses distinct quadrature points x1
AMATH 341 / CM 271 / CS 371 Assignment 8 Due : Monday April 5, 2010 Instructor: K. D. Papoulia
1. Moler exercise 8.7. The El Nino dataset is available on Molers NCM website. 2. Develop an alternative