Purpose

LA_GESVX computes the solution to a real or complex linear system of equations of the form $AX = B$, $A^T X = B$ or $A^H X = B$, where $A$ is a square matrix and $X$ and $B$ are rectangular matrices or vectors.
LA_GESVX can also optionally equilibrate the system if $A$ is poorly scaled, estimate the condition number of (the equilibrated) $A$, return the pivot growth factor, and compute error bounds.