Calendar

LEC # TOPICS KEY DATES
1 Introduction, Examples, Matrix-Vector and Matrix-Matrix Products
2 Orthogonal Matrices, Norms of Matrices
3 The Singular Value Decomposition
4 QR Factorization
5 Givens Rotations and Householder Reflections Homework 1 due
6 Least Squares Problems
7 Floating Point Arithmetic Homework 2 due
8 Conditioning and Stability
9 Stability of Givens Rotations and Backward Substitution Homework 3 due
10 Stability of Least Squares Problems
11 Gaussian Elimination
12 Cholesky Factorization Homework 4 due
13 Eigenvalue Problems
14 Hessenberg Reduction Homework 5 due
15 QR Algorithm
16 Midterm Homework 6 due
17 Stability of the QR Algorithm; Jacobi
18 Bisection, Divide and Conquer
19 SVD Algorithms
20 Iterative Algorithms, Arnoldi Homework 7 due
21 Lanczos, GMRES
22 Conjugate Gradients Homework 8 due
23 Solutions to Ordinary Differential Equations
24 Runge Kutta Methods Homework 9 due
25 Solutions to Stiff ODEs - I
26 Solutions to Stiff ODEs - II Homework 10 due