Media Summary: This is an introduction to the material in This is an introduction to a sequence of videos for the Spring 2012 offering of A worked example of a rounding error analysis.
Cs 3220 Why Take This Class - Detailed Analysis & Overview
This is an introduction to the material in This is an introduction to a sequence of videos for the Spring 2012 offering of A worked example of a rounding error analysis. This is a discussion of basic concepts of absolute and relative error and conditioning, recorded for An on-the-fly demonstration of solving the roots of a cubic using bisection and Newton's method. A description of the basics of IEEE floating point representations and arithmetic.
A few descriptions of ways in which the differences between floating point and real arithmetic can cause surprising errors, and ... Having solved an example equation by bisection and Newton iteration, let's now do the computation using the secant method.