Homework 3 - Systems of Equations

Due:TBA

Reading: Gerald and Wheatley, Chapter 2

Topics
  1. Direct Methods
    1. elimination methods
    2. LU decomposition
  2. norms and condition numbers
  3. Indirect Methods
    1. Jacobi, Gauss-Seidel
    2. Relaxation method
  4. nonlinear systems
The following problems are on page 210 of the text:

Part A:

  1. 2(use Matlab), 6-7(by hand), 10 and 68, 15-16 (by hand)
  2. 22 (by hand and check with Matlab)
  3. 27(Matlab), 32 (by hand)

Part B:

  1. 54 (by hand), 56 (Matlab) and 55 (Matlab)
  2. 59 (Matlab)
  3. Section 7.5 - 30 (a,c by hand and d using Matlab),31 (by hand)
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