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I've already used the DGESV function to perform gaussian elimination of a general linear system. This function uses LU decomposition with partial pivoting and row interchanges. Now I want to solve my system without any pivoting to compare it to the solution with pivoting. Now my question is which function can I use to solve my system using gaussian elimination without pivoting?
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There is no routine in LAPACK to perform Gaussian elimination without pivoting on a general matrix. It is not available because, as I am sure you are aware, that would not be numerically stable unless the matrix had some special property.
If you wanted to implement such a method for illustrative purposes it would not be hard to take DGETRF and remove the pivoting. (But please change the name of the routine if you do that!)
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