The performance of solving a system of linear equations depends on the condition number of the coefficient matrix.
Therefore, condition number or its reciprocal *RCOND*, is an indicator one can examine before computing the solution.
If the the value of *RCOND* is less than the machine epsilon, it indicates that the system is too
ill-conditioned to obtain a meaningful solution.

Scaling can substantially reduce the condition number of a linear system. The procedure of scalling is known as
**equilibration**.

Scaling methods include row scaling, column scaling, and row-column scaling. LAPACK routines apply appropriate techniques for equilibrating matrices depending on the input data.