Math 270C, Lecture 1, Winter 2006
Mathematical Aspects of Scientific Computing: Computational Linear Algebra
Lecture Meeting Time: MWF 1.00PM - 1:50PM.
Lecture Location: MS 6201.
Instructor: Luminita A. Vese
Office: MS 7620-D
Office hours: MWF 2-3pm.
E-mail: lvese@math.ucla.edu
Recommended Textbooks:
"Matrix Computations", G. Golub and C. VanLoan (placed on reserve at
SEL Library), Chapter 10.
"Iterative Methods for Solving Linear Systems", A. Greenbaum.
"Iterative Solution of Large Sparse Systems of Equations", W. Hackbusch.
"Numerical Linear Algebra", L.N. Trefethen, D. Bau.
"Numerical Linear Algebra (and applications)", B.N. Datta.
"Introduction to Numerical Analysis", by J. Stoer and R. Bulirsch,
Chapter 8.
Requisites: courses 115A, 151A, 151B, Program in Computing 10A.
SYLLABUS
WILL BE UPDATED
Useful Links:
Virtual Office Hours
PIC Lab: Boelter Hall 2817 and
Mathematical Sciences 3970
http://www.pic.ucla.edu/piclab/
MATLAB Documentation (thanks to Prof. C. Anderson, UCLA)
Class Web Page: http://www.math.ucla.edu/~lvese/270c.1.06w/
Numerical Recipes
Getting started with MATLAB
Homework Policy:
Weekly assignments involving both theoretical and computational exercises
will be given.
Examinations: There are no written exams.
Grading Policy: Grading will be based on class participation (10%) and
on weekly assignments.
Properties of matrices
Weekly Homework Assignments:
HW #1: Due on Friday, January 20
HW #1
HW #2: Due on Friday, January 27
HW #2
HW #3: Due on Friday, February 3
HW #3
HW #4: Due on Monday, February 13
HW #4
HW #5: Due on Wednesday, February 22, 2006
HW #5
HW #6: Due on Friday, March 3rd
HW #6
Symmetric, Tridiagonal, Positive Definite System Solver
Thomas algorithm can also be used for solving a tridiagonal linear system.
HW #7: Due on Friday, March 17
HW #7
Example of scheme