Improving the performance of reduction to Hessenberg form
Gregorio Quintana‐Ortí, Robert A. Geijn · ACM Transactions on Mathematical Software · 2006
In this article, a modification of the blocked algorithm for reduction to Hessenberg form is presented that improves performance by shifting more computation from less efficient matrix-vector operations to highly efficient matrix-matrix operations. Significant performance improvements are reported relative to the performance achieved by the current LAPACK implementation.