Iteration is the act of iterating, which means repeating a process.
(Oddly, the familiar English word "reiterate" seems to be redundant, since it apparently means something like "re-repeat.")
In mathematics, an iterative process is generally a procedure that is done repeatedly in order to approximate a solution. Basically, each iteration produces a result, and that result is used in the next iteration until the results of two successive iterations are so nearly the same that the solution is sufficiently accurate and no further iteration is required.
Example:
I want to find the square root of 2 and I don't have a calculator. I use the following (inefficient) process:
1. Choose an estimate of the square root of 2 (e.g., 1.5)
2. Divide 2 by the estimate in step 1. (2 / 1.5 = 1.333333)
3. Average the quotient from step 2 with the estimate from
step 1. ((1.5 + 1.333333)/2 = 1.416667)
4. Use the result in step 3 as the new estimate in step 1 and do another iteration.
If the process converges, you will eventually have two successive iterations that produce virtually the same result (or the exact same result when rounded to the number of decimal places you choose). At that point, you have found the square root of 2.
Note that a computer is perfect for performing iterations and stopping when two successive iterations produce the same result. So mathematical programs are full of iterative processes like this.
Hope that helps you understand the concept.
2006-07-13 19:42:44
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answer #1
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answered by actuator 5
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itteration is nothing but getting a middle value of two numbers. or it a thing to find out a root for a solution.
2006-07-13 19:39:13
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answer #2
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answered by Anonymous
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In computer programming, sometime there will be need to repeat one process for a number of times. That is called iteration
2006-07-13 19:30:20
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answer #3
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answered by Ash 1
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The need to repeat oneself
2006-07-13 19:21:08
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answer #4
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answered by Jenny 2
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actuator.
2006-07-13 20:50:39
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answer #5
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answered by rajesh bhowmick 2
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she's right. :)
2006-07-13 19:23:46
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answer #6
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answered by gonetotallymad 3
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