This ticket implements parallelization of basic operations (arithmetics, contractions) on tensors on free modules of finite rank. The parallelization is performed by means of Python's module multiprocessing, via the decorator @parallel. It is implemented in computational methods of classes handling tensor components: sage.tensor.modules.comp.Components and sage.tensor.modules.comp.CompWithSym. The user can control the number of processes involved in the parallelization via the singleton class Parallelism. The latter, introduced in this ticket, is actually generic and can be used in other parts of Sage.

This work is an extension of #15916, within the SageManifolds project (actually the code in this ticket is the basis for parallelization in SageManifolds 0.8). See the metaticket #18528 for an overview.

CC: @tscrim

Component: linear algebra

Keywords: parallelization, free module, tensor

Author: Marco Mancini

Branch: 21d1d70

Reviewer: Vincent Delecroix

Issue created by migration from https://trac.sagemath.org/ticket/18100