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Home | 18.013A | Chapter 12 |
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How can you do such things?
First put
and
in fixed locations
and
.
Then set up the following columns on the spreadsheet:
:
In the first column enter the successive values of starting with the first, known value.
For roots you can start with .
Compute later values by using the linear approximation tangent line at evaluated at argument or . ( is the entry in the second column in the previous row.)
:
In the second column apply the inverse function, to the value in the first column.
Once you have entered your instructions for and , you can copy these down a hundred rows, and you are done.
What happens if f is a root, ?
In general we have
For j-th root, so that this formula reduces to
And that is all you need enter. The rest is copying down.
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