Chapter 4: Programming in Matlab - College of the Redwoods
Chapter 4: Programming in Matlab - College of the Redwoods
Chapter 4: Programming in Matlab - College of the Redwoods
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Section 4.2 Control Structures <strong>in</strong> <strong>Matlab</strong> 311<br />
The actual value <strong>of</strong> pi^2/6 is 1.644934.<br />
The sum <strong>of</strong> <strong>the</strong> first 1216 terms is 1.644112.<br />
The relative error is 0.000500.<br />
Note that we have agreement <strong>in</strong> approximately 4 significant digits.<br />
This example demonstrates when we should use a for loop and when a while<br />
loop is more appropriate. We <strong>of</strong>fer <strong>the</strong> follow<strong>in</strong>g advice.<br />
What type <strong>of</strong> loop should I use? When you know <strong>in</strong> advance <strong>the</strong> precise<br />
number <strong>of</strong> times <strong>the</strong> loop should <strong>in</strong>terate, use a for loop. On <strong>the</strong> o<strong>the</strong>r hand,<br />
if you have no predeterm<strong>in</strong>ed knowledge <strong>of</strong> how many times you will need<br />
<strong>the</strong> loop to execute, use a while loop.<br />
For k = A<br />
<strong>Matlab</strong> also supports a type <strong>of</strong> for loop whose block <strong>of</strong> statements are executed<br />
for each column <strong>in</strong> a matrix A. The syntax is as follows.<br />
for k = A<br />
statements<br />
end<br />
In this construct, <strong>the</strong> columns <strong>of</strong> matrix A are stored one at a time <strong>in</strong> <strong>the</strong> variable<br />
k while <strong>the</strong> follow<strong>in</strong>g statments, up to <strong>the</strong> end, are executed. For example, enter<br />
<strong>the</strong> matrix A.<br />
>> A=[1 2;3 4]<br />
A =<br />
1 2<br />
3 4<br />
Now, enter and exercute <strong>the</strong> follow<strong>in</strong>g loop.