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<H1><A NAME="SECTION03530000000000000000"></A><A NAME="secstorage"></A>
<BR>
Matrix Storage Schemes
</H1>
<P>
LAPACK allows the following different storage schemes<A NAME="19610"></A>
for matrices:
<P>
<UL><LI>conventional storage in a two-dimensional array;
<P>
<LI>packed storage for symmetric, Hermitian or triangular matrices;
<P>
<LI>band storage for band matrices;
<P>
<LI>the use of two or three
one-dimensional arrays to store tridiagonal or bidiagonal
matrices.
<P>
</UL>
<P>
These storage schemes are compatible with those
used in LINPACK<A NAME="19613"></A> and the BLAS, but EISPACK<A NAME="19614"></A> uses incompatible schemes
for band and tridiagonal matrices.
<P>
In the examples below, <IMG
WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img914.png"
ALT="$\ast$">
indicates an array element that need not be set
and is not referenced by LAPACK routines. Elements that ``need not be
set'' are never read, written to, or otherwise accessed by the LAPACK
routines. The examples illustrate only the
relevant part of the arrays; array arguments may of course have additional
rows or columns, according to the usual rules for passing array arguments
in Fortran 77.
<P>
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<LI><A NAME="tex2html5915"
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<LI><A NAME="tex2html5917"
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<LI><A NAME="tex2html5918"
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<BR><HR>
<ADDRESS>
<I>Susan Blackford</I>
<BR><I>1999-10-01</I>
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