LAW: A Tool for Improved Productivity with High-Performance Linear Algebra Codes. Design and Applications
| dc.creator | Stitt, Timothy | |
| dc.creator | Kells, Graham | |
| dc.creator | Vala, Jiri | |
| dc.date | 2007-10-25 | |
| dc.date.accessioned | 2026-07-07T08:38:38Z | |
| dc.date.available | 2026-07-07T08:38:38Z | |
| dc.description | LAPACK and ScaLAPACK are arguably the defacto standard libraries among the scientific community for solving linear algebra problems on sequential, shared-memory and distributed-memory architectures. While ease of use was a major design goal for the ScaLAPACK project; with respect to its predecessor LAPACK; it is still a non-trivial exercise to develop a new code or modify an existing LAPACK code to exploit processor grids, distributed-array descriptors and the associated distributed-memory ScaLAPACK/PBLAS routines. In this paper, we introduce what we believe will be an invaluable development tool for the scientific code developer, which exploits ad-hoc polymorphism, derived-types, optional arguments, overloaded operators and conditional compilation in Fortran 95, to provide wrappers to a subset of common linear algebra kernels. These wrappers are introduced to facilitate the abstraction of low-level details which are irrelevant to the science being performed, such as target platform and execution model. By exploiting this high-level library interface, only a single code source is required with mapping onto a diverse range of execution models performed at link-time with no user modification. We conclude with a case study whereby we describe application of the LAW library in the implementation of the well-known Chebyshev Matrix Exponentiation algorithm for Hermitian matrices. | |
| dc.description | 39 pages, 4 figures. To be submitted to Computer Physics Communications Journal | |
| dc.identifier | https://arxiv.org/abs/0710.4896 | |
| dc.identifier | http://arxiv.org/abs/0710.4896 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140800 | |
| dc.subject | Computational Physics | |
| dc.title | LAW: A Tool for Improved Productivity with High-Performance Linear Algebra Codes. Design and Applications | |
| dc.type | text |