lowertriangm.html

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<H1>lower triangular matrix</H1>
<P>
(data structure)

<P>
<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="leq.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/leq.gif" border=0 height=7  width=14 alt="less than or equal to"> j.
<P><strong>See also</strong>
<a href="uppertriangm.html" tppabs="http://hissa.nist.gov/dads/HTML/uppertriangm.html"><em>upper 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>-</td><td>-</td><td>-</td></tr> <tr><td>7</td><td>7</td><td>-</td><td>-</td></tr> <tr><td>1</td><td>0</td><td>1</td><td>-</td></tr> <tr><td>1</td><td>9</td><td>5</td><td>4</td></tr> </table> <P> It may be more compactly represented in an array by storing entry (i,j) in location  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 14:36:33 1999.<BR>
HTML page formatted Wed Dec 22 09:35:47 1999.

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