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<H1><A NAME="SECTION00300000000000000000">MATC Operators</A></H1>
<P>
<I>a</I>,<I>b</I> and <I>c</I> ordinary matrices
<P>
<I>l</I>,<I>t</I> and <I>r</I> logical matrices
<P>
<I>s</I>,<I>n</I> and <I>m</I> scalars
<P>
<I>b</I>=<I>a</I>' is transpose of matrix <I>a</I>.
<P>
<I>b</I>=@<I>a</I> evaluate content of a string variable <I>a</I> as a MATC statement.
<P>
<IMG WIDTH=44 HEIGHT=12 ALIGN=BOTTOM ALT="tex2html_wrap_inline203" SRC="img11.gif" > elementwise logical not of <IMG WIDTH=124 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline205" SRC="img12.gif" > if <I>x</I> is not zero.
<P>
<IMG WIDTH=53 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline209" SRC="img13.gif" > if <I>a</I> is a square matrix and <I>s</I> is integral, a matrix power is
computed, otherwise an elementwise power.
<P>
<I>c</I>=<I>a</I>*<I>b</I> if <I>a</I> and <I>b</I> are compatible for matrix product, that is computed,
otherwise if they are of the same size or at least one of them is scalar,
an elementwise product is computed.
<P>
<IMG WIDTH=56 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline221" SRC="img14.gif" > elementwise multiplication of <I>a</I> and <I>b</I>.
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<I>c</I>=<I>a</I>/<I>b</I> is fraction of <I>a</I> and <I>b</I> computed elementwise.
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<I>c</I>=<I>a</I>+<I>b</I> is sum of matrices <I>a</I> and <I>b</I> computed elementwise.
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<I>c</I>=<I>a</I>-<I>b</I> is difference of matrices <I>a</I> and <I>b</I> computed elementwise.
<P>
<I>l</I>=<I>a</I>==<I>b</I> equality of matrices <I>a</I> and <I>b</I> elementwise.
<P>
<I>l</I>=<I>a</I><><I>b</I> inequality of matrices <I>a</I> and <I>b</I> elementwise.
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<I>l</I>=<I>a</I><<I>b</I> true if a is less than <I>b</I> computed elementwise.
<P>
<I>l</I>=<I>a</I>><I>b</I> true if <I>a</I> is greater than <I>b</I> computed elementwise.
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<I>l</I>=<I>a</I><=<I>b</I> true if <I>a</I> is less than or equal to <I>b</I> computed elementwise.
<P>
<I>l</I>=<I>a</I>>=<I>b</I> true if <I>a</I> is greater than or equal to <I>b</I> computed elementwise.
<P>
<I>a</I>=<I>n</I>:<I>m</I> return a vector of values starting from <I>n</I> and ending to <I>m</I> by
increment of (plus-minus) one.
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<IMG WIDTH=52 HEIGHT=12 ALIGN=BOTTOM ALT="tex2html_wrap_inline285" SRC="img15.gif" > elementwise logical and of <I>a</I> and <I>b</I>.
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<I>l</I>=<I>a</I>|<I>b</I> elementwise logical or of <I>a</I> and <I>b</I>.
<P>
<I>c</I>=<I>a</I>?<I>b</I> reduction: set values of <I>a</I> where <I>b</I> is zero to zero.
<P>
<IMG WIDTH=90 HEIGHT=25 ALIGN=MIDDLE ALT="tex2html_wrap_inline303" SRC="img16.gif" > resize <I>a</I> to matrix of size <I>n</I> by <I>m</I>.
<P>
<I>b</I>=<I>a</I> assing <I>a</I> to <I>b</I>.
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<BR> <HR>
<P><ADDRESS>
<I>Juha Ruokolainen <BR>
Fri Feb 14 15:59:30 EET 1997</I>
</ADDRESS>
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