diff options
Diffstat (limited to 'doc/documentation.tex')
| -rw-r--r-- | doc/documentation.tex | 8 |
1 files changed, 7 insertions, 1 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex index bb001c8..217e360 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -170,7 +170,13 @@ $$ \mathrm{maxabs} := \max_i |a_i| $$ Note that the above definitions are for both real and complex values. For $n=0$, the result of the reduction operation is $0$, except for $\mathrm{product}$, which is $1$, $\mathrm{min}$, which is $+\infty$, -and $\mathrm{max}$, which is $-\infty$. +and $\mathrm{max}$, which is $-\infty$. We define the minimum of +complex values by +$$ +\min \left( a+ib, x+iy \right) := \min \left( a,x \right) + i \min +\left (b,y \right) +$$ +and define the maximum equivalently. \subsection{High-level Reduction Operations} The following high-level reduction operations are also implemented. |