arXiv Open Access 2023

Parallel two-stage reduction to Hessenberg-triangular form

Thijs Steel Raf Vandebril
Lihat Sumber

Abstrak

We present a two-stage algorithm for the parallel reduction of a pencil to Hessenberg-triangular form. Traditionally, two-stage Hessenberg-triangular reduction algorithms achieve high performance in the first stage, but struggle to achieve high performance in the second stage. Our algorithm extends techniques described by Karlsson et al. to also achieve high performance in the second stage. Experiments in a shared memory environment demonstrate that the algorithm can outperform state-of-the-art implementations.

Topik & Kata Kunci

Penulis (2)

T

Thijs Steel

R

Raf Vandebril

Format Sitasi

Steel, T., Vandebril, R. (2023). Parallel two-stage reduction to Hessenberg-triangular form. https://arxiv.org/abs/2301.07964

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2023
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓