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IAM 961 HW #4

Problem 1. Trefethen & Bau exercise 15.1

Problem 2. Show that matrix-vector multiplication $y_i = \sum_{j=1}^n A_{ij} x_j$ is backward stable when computed with floating-point operations that satisfy the fundamental axioms of floating-point arithmetic. You can use the backwards stability of floating-point computation of the inner product between two vectors.

Problem 3. Trefethen & Bau exercise 16.1

Due Monday 11/17 in lecture.

gibson/teaching/fall-2014/iam961/iam-961-hw4.txt · Last modified: 2014/10/30 09:27 by gibson