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<H1>upper triangular matrix</H1>
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(data structure)

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<strong>Definition:</strong>
A <a href="matrix.html" tppabs="http://hissa.nist.gov/dads/HTML/matrix.html"><em>matrix</em></a> which is only defined at (i,j) when i  <img src="geq.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/geq.gif" border=0 height=7  width=14 alt="greater than or equal to"> j.
<P><strong>See also</strong>
<a href="lowertriangm.html" tppabs="http://hissa.nist.gov/dads/HTML/lowertriangm.html"><em>lower triangular matrix</em></a>, <a href="raggedmatrix.html" tppabs="http://hissa.nist.gov/dads/HTML/raggedmatrix.html"><em>ragged matrix</em></a>.
<P><em>Note:
For example <table> <tr><th></th><th colspan=4 align=center>j</th></tr> <tr><th rowspan=4 valign=middle>i</th> <td>1</td><td>7</td><td>7</td><td>6</td></tr> <tr><td>-</td><td>9</td><td>1</td><td>1</td></tr> <tr><td>-</td><td>-</td><td>8</td><td>8</td></tr> <tr><td>-</td><td>-</td><td>-</td><td>1</td></tr> </table> <P> It may be more compactly represented in an array by storing entry (i,j) in location n(i-1)+j- i(i-1)/2 =  (2n-i)(i-1)/2 + j.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>

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Entry modified Sat Sep  4 14:36:20 1999.<BR>
HTML page formatted Wed Dec 22 09:36:51 1999.

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