Work

Parallel implementations of Riemannian conjugate gradient methods for joint approximate diagonalization

Year: 2025

Type: article

Abstract: We propose multi-threaded parallel implementations of the Riemannian conjugate gradient method (CG) on the Stiefel manifold and on the oblique manifold, suitable for solving two forms of the joint approximate diagonalization problem. In our implementations, each fundamental step of the method is explicitly modified and parallelized to enhance computational efficiency. Numerical experiments demonstrate that our modified CG implementations are more efficient than the original versions.

Source: Mathematical communications

DOI: 10.64785/mc.30.1.4

Author: Nela Bosner

Institution: University of Zagreb

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: Hrvatska Zaklada za Znanost

Awards: G1042398408, Randomized low rank algorithms and applications to parameter dependent problems