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<h4 class="subsection">33.4.2 Operator Overloading</h4>
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<a name="doc_002drdivide"></a><a name="doc_002dplus"></a><a name="doc_002dminus"></a><a name="doc_002duminus"></a><a name="doc_002duplus"></a><a name="doc_002dtimes"></a><a name="doc_002dmtimes"></a><a name="doc_002dmrdivide"></a><a name="doc_002dldivide"></a><a name="doc_002dmldivide"></a><a name="doc_002dpower"></a><a name="doc_002dmpower"></a><a name="doc_002dlt"></a><a name="doc_002dle"></a><a name="doc_002dgt"></a><a name="doc_002dge"></a><a name="doc_002deq"></a><a name="doc_002dne"></a><a name="doc_002dand"></a><a name="doc_002dor"></a><a name="doc_002dnot"></a><a name="doc_002dctranspose"></a><a name="doc_002dtranspose"></a>
<p><table summary=""><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">Operation </td><td valign="top" width="20%">Method </td><td valign="top" width="40%">Description </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a + b </td><td valign="top" width="20%">plus (a, b) </td><td valign="top" width="40%">Binary addition </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a - b$ </td><td valign="top" width="20%">minus (a, b) </td><td valign="top" width="40%">Binary subtraction operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">+ a$ </td><td valign="top" width="20%">uplus (a) </td><td valign="top" width="40%">Unary addition operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">- a$ </td><td valign="top" width="20%">uminus (a) </td><td valign="top" width="40%">Unary subtraction operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a .* b$ </td><td valign="top" width="20%">times (a, b) </td><td valign="top" width="40%">Element-wise multiplication operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a * b$ </td><td valign="top" width="20%">mtimes (a, b) </td><td valign="top" width="40%">Matrix multiplication operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a ./ b$ </td><td valign="top" width="20%">rdivide (a, b) </td><td valign="top" width="40%">Element-wise right division operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a / b$ </td><td valign="top" width="20%">mrdivide (a, b) </td><td valign="top" width="40%">Matrix right division operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a .\ b$ </td><td valign="top" width="20%">ldivide (a, b) </td><td valign="top" width="40%">Element-wise left division operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a \ b$ </td><td valign="top" width="20%">mldivide (a, b) </td><td valign="top" width="40%">Matrix left division operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a .^ b$ </td><td valign="top" width="20%">ldivide (a, b) </td><td valign="top" width="40%">Element-wise power operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a ^ b$ </td><td valign="top" width="20%">mldivide (a, b) </td><td valign="top" width="40%">Matrix power operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a < b$ </td><td valign="top" width="20%">lt (a, b) </td><td valign="top" width="40%">Less than operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a <= b$ </td><td valign="top" width="20%">le (a, b) </td><td valign="top" width="40%">Less than or equal to operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a > b$ </td><td valign="top" width="20%">gt (a, b) </td><td valign="top" width="40%">Greater than operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a >= b$ </td><td valign="top" width="20%">ge (a, b) </td><td valign="top" width="40%">Greater than or equal to operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a == b$ </td><td valign="top" width="20%">eq (a, b) </td><td valign="top" width="40%">Equal to operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a != b$ </td><td valign="top" width="20%">ne (a, b) </td><td valign="top" width="40%">Not equal to operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a \& b$ </td><td valign="top" width="20%">and (a, b) </td><td valign="top" width="40%">Logical and operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a | b$ </td><td valign="top" width="20%">or (a, b) </td><td valign="top" width="40%">Logical or operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">! b$ </td><td valign="top" width="20%">not (a) </td><td valign="top" width="40%">Logical not operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a'$ </td><td valign="top" width="20%">ctranspose (a) </td><td valign="top" width="40%">Complex conjugate transpose operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a.'$ </td><td valign="top" width="20%">transpose (a) </td><td valign="top" width="40%">Transpose operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a : b$ </td><td valign="top" width="20%">colon (a, b) </td><td valign="top" width="40%">Two element range operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a : b : c$ </td><td valign="top" width="20%">colon (a, b, c) </td><td valign="top" width="40%">Three element range operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">[a, b]$ </td><td valign="top" width="20%">horzcat (a, b) </td><td valign="top" width="40%">Horizontal concatenation operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">[a; b]$ </td><td valign="top" width="20%">vertcat (a, b) </td><td valign="top" width="40%">Vertical concatenation operator </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a(s_1, \ldots, s_n)$ </td><td valign="top" width="20%">subsref (a, s) </td><td valign="top" width="40%">Subscripted reference </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">a(s_1, \ldots, s_n) = b$ </td><td valign="top" width="20%">subsasgn (a, s, b) </td><td valign="top" width="40%">Subscripted assignment </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%">b (a)$ </td><td valign="top" width="20%">subsindex (a) </td><td valign="top" width="40%">Convert to zero-based index </td><td valign="top" width="10%">
<br></td></tr><tr align="left"><td valign="top" width="10%"></td><td valign="top" width="20%"><dfn>display</dfn> </td><td valign="top" width="20%">display (a) </td><td valign="top" width="40%">Commandline display function </td><td valign="top" width="10%">
<br></td></tr></table>
<p><strong class="float-caption">Table 33.1: Available overloaded operators and their corresponding class method</strong></p></div>
<p>An example <code>mtimes</code> method for our polynomial class might look like
<pre class="example"><pre class="verbatim"> function y = mtimes (a, b)
y = polynomial (conv (double(a),double(b)));
endfunction</pre>
</pre>
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