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<h5 class="subsubsection">21.1.4.1 Sparse Functions</h5>
<p>An important consideration in the use of the sparse functions of
Octave is that many of the internal functions of Octave, such as
<dfn>diag</dfn>, cannot accept sparse matrices as an input. The sparse
implementation in Octave therefore uses the <dfn>dispatch</dfn>
function to overload the normal Octave functions with equivalent
functions that work with sparse matrices. However, at any time the
sparse matrix specific version of the function can be used by
explicitly calling its function name.
<p>The table below lists all of the sparse functions of Octave. Note that
the names of the
specific sparse forms of the functions are typically the same as
the general versions with a <dfn>sp</dfn> prefix. In the table below, and the
rest of this article the specific sparse versions of the functions are
used.
<!-- Table includes in comments the missing sparse functions -->
<dl>
<dt>Generate sparse matrices:<dd> <dfn>spalloc</dfn>, <dfn>spdiags</dfn>, <dfn>speye</dfn>, <dfn>sprand</dfn>,
<dfn>sprandn</dfn>, <dfn>sprandsym</dfn>
<br><dt>Sparse matrix conversion:<dd> <dfn>full</dfn>, <dfn>sparse</dfn>, <dfn>spconvert</dfn>
<br><dt>Manipulate sparse matrices<dd> <dfn>issparse</dfn>, <dfn>nnz</dfn>, <dfn>nonzeros</dfn>, <dfn>nzmax</dfn>,
<dfn>spfun</dfn>, <dfn>spones</dfn>, <dfn>spy</dfn>
<br><dt>Graph Theory:<dd> <dfn>etree</dfn>, <dfn>etreeplot</dfn>, <dfn>gplot</dfn>,
<dfn>treeplot</dfn>
<!-- @dfn{treelayout} -->
<br><dt>Sparse matrix reordering:<dd> <dfn>amd</dfn>, <dfn>ccolamd</dfn>, <dfn>colamd</dfn>, <dfn>colperm</dfn>, <dfn>csymamd</dfn>,
<dfn>dmperm</dfn>, <dfn>symamd</dfn>, <dfn>randperm</dfn>, <dfn>symrcm</dfn>
<br><dt>Linear algebra:<dd> <dfn>condest</dfn>, <dfn>eigs</dfn>, <dfn>matrix_type</dfn>, <dfn>normest</dfn>, <dfn>sprank</dfn>,
<dfn>spaugment</dfn>, <dfn>svds</dfn>
<br><dt>Iterative techniques:<dd> <dfn>luinc</dfn>, <dfn>pcg</dfn>, <dfn>pcr</dfn>
<!-- @dfn{bicg}, @dfn{bicgstab}, @dfn{cholinc}, @dfn{cgs}, @dfn{gmres}, -->
<!-- @dfn{lsqr}, @dfn{minres}, @dfn{qmr}, @dfn{symmlq} -->
<br><dt>Miscellaneous:<dd> <dfn>spparms</dfn>, <dfn>symbfact</dfn>, <dfn>spstats</dfn>
</dl>
<p>In addition all of the standard Octave mapper functions (i.e., basic
math functions that take a single argument) such as <dfn>abs</dfn>, etc.
can accept sparse matrices. The reader is referred to the documentation
supplied with these functions within Octave itself for further
details.
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