Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

TMA740B Analys i en variabel Kf Kb, del B, 1999, vecka 6

Mathematics

Goal: Vector valued functions of several variables. Compute the Jacobian of a function, compute the linearization at a point. The fixed point theorem. Newton's method.

Theory: Read Chapter 44 "Vector valued functions of several variables".

Exercises: Problems for chapter 44

Programming

Goal: To write a matlab function that implements Newton's method for systems of algebraic equations f(0)=0.

Exercises:

1. Write a matlab function that implements Newton's method. The program should be written according to the specification in the skeleton newton1.m.

2. Test your program on some systems of equations for which you know exact solutions. See Problems for chapter 44.

3. Solve several other systems of equations.

/stig


Last modified: Fri Dec 3 16:07:03 MET 1999