Arguments

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A: (input/output) REAL or COMPLEX rectangular array, shape .
On entry, the matrix .
On exit, if $size({\bf A},1) \geq size({\bf A},2)$ , ${\bf A}$ is overwritten by details of its factorization. If $size({\bf A},1) < size({\bf A},2)$ , ${\bf A}$ is overwritten by details of its factorization.
B: (input/output) REAL or COMPLEX array, shape with (B,1) $= \max(size$ (A,1), (A,2)) or shape with $size({\bf B}) = \max(size({\bf A},1),size({\bf A},2))$ .
On entry, the matrix .
On exit, the solution matrix X. There are four cases:

$\begin{numbersec} \item If ${\bf TRANS} =$\ 'N' and $size$({\bf A},1) $\geq siz... ...ows $size({\bf A},1)+1$\ to $size({\bf A},2)$\ of that column. \end{numbersec}$
TRANS: Optional (input) CHARACTER(LEN=1).
Specifies the form of the system of equations:

$\begin{optionarg} \item[{= 'N':}] $Ax=b$\ (No transpose) \item[{= 'T':}] $A^Tx=b$\ (Transpose) \item[{= 'C':}] $A^Hx=b$\ (Conjugate transpose) \end{optionarg}$
Default value: 'N'.
INFO: Optional (output) INTEGER

$\begin{infoarg} \item[{$=$\ 0:}] successful exit. \item[{$<$\ 0:}] if {\bf INFO} $= -i$, the $i^{th}$\ argument had an illegal value. \end{infoarg}$
If ${\bf INFO}$ is not present and an error occurs, then the program is terminated with an error message.

References: [1] and [17,9,20].

Susan Blackford 2001-08-19