Editing Divide-and-conquer eigenvalue algorithm (section)

==Variants and implementation==

The algorithm presented here is the simplest version.  In many practical implementations, more complicated rank-1 corrections are used to guarantee stability; some variants even use rank-2 corrections.{{Citation needed|date=September 2011}}

There exist specialized root-finding techniques for rational functions that may do better than the Newton-Raphson method in terms of both performance and stability.  These can be used to improve the iterative part of the divide-and-conquer algorithm.

The divide-and-conquer algorithm is readily [[Parallel algorithm|parallelized]], and [[linear algebra]] computing packages such as [[LAPACK]] contain high-quality parallel implementations.{{Citation needed|date=September 2023}}