Additional Numerical Methods Lecture Material
Chapter 1
Mathematics Preliminaries (including Taylor series)
Chapter 2
Machine Epsilon, Roundoff Error, Error Analysis: truncation vs roundoff, Length Scale, Conditioning & Stability
Chapter 3
Chapter 4
Chapter 5
Matrix Operation Counts
LU Decomposition & Pivoting
Vector Stopping Tests
Properties of Cond(A)
Damped Newton Raphson Method
Convergence of Iterative Methods
Chapter 6
Chapter 7