UCES

"Ill-conditioned Algebraic Systems and Function Approximation"

Course TOC: Models, Methods and Analysis in UCES

Chapter: 1.0 Matrix Computations
Section: 1.7 Ill-conditioned Algebraic Systems and Function Approximation

Introduction: ill-conditioned system

Applied Area: projectile trajectories, function approximation

Model: condition number

Method: pivoting, increase precision

Implementation: Maple and use of Digits

Assessment: norms, relative error

Homework:

Prerequisites:

1. Math: Algebra 2 and some matrices

2. Computing: Maple

3. Science: Physics

Objectives:

1. Math: Matrix norm, condition number

2. Computing: Use of different precision

3. Science: Trajectories

General Information: The main goal is to make the student aware that some problems will have solutions which can vary a great deal with small changes in the data of the problem. This is quantified by the use of a condition number with respect to the max norm.

Contact Person: R. E. White, NCSU, white@math.ncsu.edu

Revision Date: 7-29-94

Copyright @1994, R. E. White. All rights reserved.