Long‑term relevance of the BQRRP framework

Determine whether the Blocked QR with Randomization and Pivoting (BQRRP) algorithmic framework for QR factorization with column pivoting will remain relevant over the long term as hardware architectures and numerical linear algebra software stacks evolve.

Background

The paper introduces BQRRP, a configurable algorithmic framework for high‑performance QR with column pivoting (QRCP) on modern CPUs and GPUs. It achieves large speedups over LAPACK’s GEQP3 and competitive fractions of GEQRF performance by carefully choosing subroutines (e.g., LU-based pivot selection on a sketch, Householder or preconditioned Cholesky QR for panels, and ORMQR for updates).

Despite these results, the authors note that performance landscapes change as architectures and vendor libraries evolve, and thus explicitly flag the long‑term relevance of this specific approach as uncertain.