Less obvious, so contestable, examples might include Gaussian elimination
and numerical integration.
Then one could use the same argument that Feinstein uses to "prove" that it is impossible to determine in polynomial-time whether this modified SUBSET-SUM equation has a solution, when in fact one can use Gaussian elimination
to determine this information in polynomial-time.
The first extensive test bed is two real-world problem DAGs, molecular dynamics code  and Gaussian elimination
Disimplicial arcs are important when Gaussian elimination
is performed on a sparse matrix, as they correspond to the entries that preserve zeros when chosen as pivots.
then reduces the first independent m(n - k) columns to identity submatrix.
technique will be used for execution time comparison.
and its applications are covered next, followed by eigenvalues, eigenvectors, and determinants.
He laughed, he has experienced the same problem and our discussion went to direct methods, to Gaussian elimination
and to Gram-Schmidt orthogonalization algorithms.
Systems of linear equations can be reduced to simpler form  by using Gaussian elimination
Hart does offer much to think about, however--among other things, that Gaussian elimination
and general solutions of systems of linear equations are ultimately of non-literate origin and attested in China some seventeen centuries before Gauss.
includes chapters on Gaussian elimination
and its variants, sensitivity of linear systems, the least squares problem, the singular value decomposition, eigenvalues and eigenvectors, and iterative methods for linear systems.
The Gaussian elimination
method comprises of two steps, namely the forward elimination phase and the backward substitution phase.