Numerical Analysis I

Time and Place:MWF 9:10-10:00am, 1218 SAS Hall

Instructor:Prof. Ilse Ipsen

4234 SAS Hall, 515-3399

email: ipsen at dot ncsu dot edu

office hours: MF 10-11am, and by appointment

Webpage for MA580/CSC580:

- http://www4.ncsu.edu/~ipsen/ma580/

Prerequisites:MA405; MA425 or MA511; high-level computer language

Topics:Linear systems, least squares, singular value decomposition, eigenvalue decompositions,

sensitivity and perturbation theory, numerical stability of algorithms

Textbooks:

- Ilse Ipsen: Numerical Matrix Analysis, SIAM, 2009

Link to NCSU e-book, downloadable copy

- Tim Kelley: Iterative Methods for Linear and Nonlinear Equations, SIAM, 1995

Link to NCSU e-book

- Des and Nick Higham: Matlab Guide, Second Edition, SIAM, 2005

Link to NCSU e-book

Papers:

- IEEE Standard for Binary Floating Point Arithmetic
- Ilse Ipsen and Carl Meyer: The Idea Behind Krylov Methods, 1998

Amer. Math. Monthly, vol. 105, no. 10, pp 889-899

Homeworks:

- Weekly assignments
- Late submissions will
notbe accepted.- No hand-written homeworks. Please typeset homeworks with L
^{A}TEX.- Collaboration in teams is encouraged.

Exams:

- 2 Midterms: 6 February and 18 March 2015
- Final: 8am on 4 May 2015
- No collaboration on exams.

Course Grade:

- Homeworks: 30%

- Best of 2 midterm exams: 35%

- Final exam: 35%

- A+: 96-100%, A: 90-95%, B+: 86-89%, B:80-85%, C: 65-79%

Matlab Resources:

L^{A}TEX Resources: