Numerical Methods Homework Assignment 3: Solving Linear Systems using Gauss-Elimination - , Assignments of Engineering

Download Numerical Methods Homework Assignment 3: Solving Linear Systems using Gauss-Elimination - and more Assignments Engineering in PDF only on Docsity! University of California, Davis Department of Applied Science Spring 2008 David M. Rocke Numerical Methods EAD 115 April 17, 2008 Homework Assignment 3 Due April 24, 2008 1. Do the following problems from the text: 9.8, 10.2–10.4, 10.16. 2. Write a program in a language of your choice to implement Naive Gaussian Elimination. Below is the framework for a VBA implementation (available for download on the web site). You may use this, or you may write the equivalent in another language. Option Explicit Sub Gauss() ’ ’ Declarations ’ Dim A() As Variant, b() As Variant, x() As Variant Dim nrows As Integer, ncols As Integer, n As Integer Dim rng1 As Range, rng2 As Range, rng3 As Range Dim i As Integer, j As Integer, k As Integer Dim factor As Double, sum As Double ’ ’ Get input ranges, check for correct shape, and set arrays ’ Call GetRange(rng1, "Enter n by n input range for matrix of coefficients") Call GetRange(rng2, "Enter n by 1 input range for RHS") Call GetRange(rng3, "Enter n by 1 output range for solution") ncols = rng1.Columns.Count nrows = rng1.Rows.Count If (nrows <> ncols) Then MsgBox "Matrix not square" Exit Sub End If n = nrows If ((rng2.Rows.Count <> n) Or (rng3.Rows.Count <> n) Or _ (rng2.Columns.Count <> 1) Or (rng3.Columns.Count <> 1)) Then