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115-09-HW3

# 115-09-HW3 - Call GetRange(rng3"Enter n by 1 output...

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University of California, Davis Department of Applied Science Fall 2009 David M. Rocke Numerical Methods EAD 115 October 14, 2009 Homework Assignment 3 October 21, 2009 1. Do the following problems from the text: 6.3, 6.5, 6.6 on pages 171–172. 2. Do the following problems from the text: 9.8, 9.9 on page 272. 3. 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")

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Unformatted text preview: 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 MsgBox "RHS or output range not n by 1" Exit Sub End If A = rng1.Value b = rng2.Value x = b ’ ’ Elimination ’ ’ ’ Back substitution ’ rng3.Value = x End Sub Sub GetRange(rng As Range, msg As String) Dim srng As String srng = InputBox(msg) Set rng = Range(srng) End Sub 4. Use your program to solve the linear system Ax = b , where A = 1 1 / 2 1 / 3 1 / 4 1 / 5 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1 / 7 1 / 4 1 / 5 1 / 6 1 / 7 1 / 8 1 / 5 1 / 6 1 / 7 1 / 8 1 / 9 and b = 2-4 3 7-1...
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