QR Decomposition w/ Householder and Givens Transformations

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Do you want to know how to develop QR decomposition using HH & Givens Transforms?
Or
Are you looking for examples of problems which can be solved using QR decomposition?

 

Just about any regression problem where the number of data points exceeds the degree of the curve being fitted.

You use QR to find the minimum of the residuals in place of forming the normal equations.

Here is an example using linear least squares:

http://www.uta.edu/faculty/rcli/Teaching/math5392/NotesByHyvonen/lecture3.pdf

Note: actual problem starts on p. 11, but there is a good intro. in pp. 1-10.