## 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.

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__**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.

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__**Properties of matrices**

**Weekly Homework Assignments:**

** HW #1: Due on Friday, January 20
**

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__**HW #1**

** HW #2: Due on Friday, January 27
**

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__**HW #2**

** HW #3: Due on Friday, February 3
**

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__**HW #3**

** HW #4: Due on Monday, February 13
**

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__**HW #4**

** HW #5: Due on Wednesday, February 22, 2006
**

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__**HW #5**

** HW #6: Due on Friday, March 3rd
**

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__**HW #6**

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__**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
**

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__**HW #7**
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__**Example of scheme**