MP274 LECTURE NOTES 1991

MP274 Lecture Notes 1991

These were my 1991 MP274 notes and were mainly LaTeXed by LaTeX guru Chris Fama in 1991, with some sections typed by me. The approach to Jordan and rational canonical forms, the real algorithm for the real Jordan form, the Frobenius-Ceccioni theorem and the Byrnes-Gauger material are seldom found in textbooks.
The files are in pdf form.

Table of Contents
Linear transformations
Polynomials
Towards the Jordan and Rational forms
The Jordan form
- A Simple Jordan Canonical Form Algorithm
Jordan form examples
Uniqueness of the Jordan form
Exponential of a matrix
Markov matrices
Real Jordan form
A real algorithm for finding the real Jordan form
Rational canonical forms
Smith normal form
Applications of the Smith normal form
Directions for further study
Errors and addenda

Last modified 14th July 2019