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\samepage \begin{tabular}{lll}
      $\bullet$ Inner product of 2 vectors & DOT & $w :=
      \sum\limits_{i=1}^{N}x_iy_i$\\ [2ex]
$\bullet$  Elementary vector operation & AXPY & ${\bf y} :=
      a {\bf x} + {\bf y}$\\ [2ex]
$\bullet$  Givens plane rotation & ROTG/ROT & \\ [2ex]
$\bullet$  Modified Givens rotation & ROTMG/ROTM & \\ [2ex]
$\bullet$  Copy a vector ${\bf x}$ in ${\bf y}$ & COPY &
${\bf y} := {\bf x}$
\\ [2ex]
$\bullet$  Interchange 2 vectors ${\bf x}$ and ${\bf y}$ &
SWAP & ${\bf y} := {\bf x}$ {\bf and} ${\bf x} :=
{\bf y}$\\ [2ex]
$\bullet$  Euclidian length ($l_2$-norm) of a
      vector      &     NRM 2 & $w :=
      \sqrt{\sum\limits_{i=1}^{N}\mid x_i\mid^2}$\\ [2ex]
$\bullet$  Sum of absolute values of vector
        &  ASUM & $w := \sum\limits_{i=1}^{N}\mid
      x_i\mid$\\ 
      components & & \\ [2ex]
$\bullet$  Scaling of a vector & SCAL & ${\bf x} :=
a {\bf x}$\\ [2ex]
$\bullet$  Find largest component of a
      vector & AMAX &
\end{tabular}
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\samepage \begin{tabular}% latex2html id marker 435
{ll}
\verb+SUBROUTINE _ROTG+ & Generate plane rotation\\ 
\verb+SUBROUTINE _ROTMG+ & Generate modified plane rotation\\ 
\verb+SUBROUTINE _ROT+ & Apply plane rotation\\ 
\verb+SUBROUTINE _ROTM+ & Apply modified plane rotation\\ 
\verb+SUBROUTINE _SWAP+ & $x \leftrightarrow y$\\ 
\verb+SUBROUTINE _SCAL+ & $x \leftarrow \alpha x$\\ 
\verb+SUBROUTINE _COPY+ & $ y \leftarrow x$\\ 
\verb+SUBROUTINE _AXPY+ & $ y \leftarrow ax + y$\\ 
\verb+FUNCTION   _DOT+ & $dot \leftarrow x^Ty$\\ 
\verb+FUNCTION   _DOTU+ & $dot \leftarrow x^Ty$\\ 
\verb+FUNCTION   _DOTC+ & $dot \leftarrow x^Hy$\\ 
\verb+FUNCTION   __DOT+ & $dot \leftarrow \alpha + x^Ty$\\ 
\verb+FUNCTION   _NRM2+ & $nrm2 \leftarrow \parallel x\parallel_2$\\ 
\verb+FUNCTION   _ASUM+ & $asum \leftarrow \parallel re(x)\parallel_1 +
                          \parallel im(x)\parallel_1$\\ 
\verb+FUNCTION   I_AMAX+ & $amax \leftarrow 1^{st} k \ni \mid re(x_k)\mid
+ \mid im(x_k)\mid = max(\mid re(x_i)\mid + \mid im(x_i)\mid)$
\end{tabular}
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\samepage \begin{tabular}% latex2html id marker 443
{ll}
\verb+_GEMV+ & $y \leftarrow \alpha Ax + \beta y,y \leftarrow \alpha A^Tx + \beta y,y \leftarrow \alpha A^Hx + \beta y,A - m \times n$\\ 
\verb+_GBMV+ & $y \leftarrow \alpha Ax + \beta y,y \leftarrow \alpha A^Tx + \beta y,y \leftarrow \alpha A^Hx + \beta y,A - m \times n$\\ 
\verb+_HEMV+ & $y \leftarrow \alpha Ax + \beta y$\\ 
\verb+_HBMV+ & $y \leftarrow \alpha Ax + \beta y$\\ 
\verb+_HPMV+ & $y \leftarrow \alpha Ax + \beta y$\\ 
\verb+_SYMV+ & $y \leftarrow \alpha Ax + \beta y$\\ 
\verb+_SBMV+ & $y \leftarrow \alpha Ax + \beta y$\\ 
\verb+_SPMV+ & $y \leftarrow \alpha Ax + \beta y$\\ 
\verb+_TRMV+ & $x \leftarrow Ax,x \leftarrow A^Tx,x \leftarrow A^Hx$\\ 
\verb+_TBMV+ & $x \leftarrow Ax,x \leftarrow A^Tx,x \leftarrow A^Hx$\\ 
\verb+_TPMV+ & $x \leftarrow Ax,x \leftarrow A^Tx,x \leftarrow A^Hx$\\ 
\verb+_TRSV+ & $x \leftarrow A^{-1}x,x \leftarrow A^{-T}x,x \leftarrow A^{-H}x$\\ 
\verb+_TBSV+ & $x \leftarrow A^{-1}x,x \leftarrow A^{-T}x,x \leftarrow A^{-H}x$\\ 
\verb+_TPSV+ & $x \leftarrow A^{-1}x,x \leftarrow A^{-T}x,x \leftarrow A^{-H}x$
\end{tabular}
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{\newpage
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\samepage \begin{tabular}% latex2html id marker 459
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\verb+_GER+ & $ A \leftarrow \alpha xy^T + A,A - m \times n$\\ 
\verb+_GERU+ & $ A \leftarrow \alpha xy^T + A,A - m \times n$\\ 
\verb+_GERC+ & $ A \leftarrow \alpha xy^H + A,A - m \times n$\\ 
\verb+_HER+ & $ A \leftarrow \alpha xx^H + A$\\ 
\verb+_HPR+ & $ A \leftarrow \alpha xx^H + A$\\ 
\verb+_HER2+ & $ A \leftarrow \alpha xy^H + y(\alpha x)^H + A$\\ 
\verb+_HPR2+ & $ A \leftarrow \alpha xy^H + y(\alpha x)^H + A$\\ 
\verb+_SYR+ & $ A \leftarrow \alpha xx^T + A$\\ 
\verb+_SPR+ & $ A \leftarrow \alpha xx^T + A$\\ 
\verb+_SYR2+ & $ A \leftarrow \alpha xy^T + \alpha yx^T + A$\\ 
\verb+_SPR2+ & $ A \leftarrow \alpha xy^T + \alpha yx^T + A$
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\verb+_GEMM+ & $C \leftarrow \alpha op(A)op(B) + \beta C,op(X) = X,X^T,X^H,C - m \times n$\\ 
\verb+_SYMM+ & $C \leftarrow \alpha AB + \beta C,C \leftarrow \alpha BA + \beta C,C - m \times n,A = A^T$\\ 
\verb+_HEMM+ & $C \leftarrow \alpha AB + \beta C,C \leftarrow \alpha BA + \beta C,C - m \times n,A = A^H$\\ 
\verb+_SYRK+ & $C \leftarrow \alpha AA^T + \beta C,C \leftarrow \alpha A^TA + \beta C,C - n \times n$\\ 
\verb+_HERK+ & $C \leftarrow \alpha AA^H + \beta C,C \leftarrow \alpha A^HA + \beta C,C - n \times n$\\ 
\verb+_SYR2K+ & $C \leftarrow \alpha AB^T + \alpha BA^T + \beta C,C \leftarrow \alpha A^TB + \alpha B^TA + \beta C,C - n \times n$\\ 
\verb+_HER2K+ & $C \leftarrow \alpha AB^H + \alpha BA^H + \beta C,C \leftarrow \alpha A^HB + \alpha B^HA + \beta C,C - n \times n$\\ 
\verb+_TRMM+ & $B \leftarrow \alpha op(A)B,B \leftarrow \alpha Bop(A),op(A) = A,A^T,A^H,B - m \times n$\\ 
\verb+_TRSM+ & $B \leftarrow \alpha op(A^{-1})B,B \leftarrow \alpha Bop(A^{-1}),op(A) = A,A^T,A^H,B - m \times n$
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\samepage \begin{tabular}{l|l}
Tool & Description\\ 
\hline
check & Apply FORCHECK to check the correctness of the code\\ 
ischeck & Check if the source code satisfies some of the layout rules\\ 
iskey & Perform actions concerning the keywords\\ 
isvers1 & Replace the version part of the comment block by version
number 1.0\\ 
&and the present date\\ 
iserrcheck & Check whether the right number of ints/reals/chars is
passed in the call to error\\ 
& or warning subroutines\\ 
isvar & Help tool to generate a part of the comment block and
declarations\\ 
getlayout& Put the standard layout (without body) into a file\\ 
checkisn& Perform all available checks on a source file\\ 
gendecl& Generate declarations for a FORTRAN source file\\ 
isdocu& Generate system documentation for the ISNaS system\\ 
buildres& Build a file with reserved variables\\ 
isexpand & replace the word reserved in a description, by the actual
description given in the file\\ 
& with reserved variables.\\ 
isreduce & replace the long description made by isexpand by the word
reserved.
\end{tabular}
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