%0 Generic
%D 2021
%T P1673R3: A free function linear algebra interface based on the BLAS
%A Mark Hoemmen
%A Daisy Hollman
%A Christian Trott
%A Daniel Sunderland
%A Nevin Liber
%A Li-Ta Lo
%A Damien Lebrun-Grandie
%A Graham Lopez
%A Peter Caday
%A Sarah Knepper
%A Piotr Luszczek
%A Timothy Costa
%K C++
%K linear algebra
%X We believe this proposal is complementary to P1385, a proposal for a C++ Standard linear algebra library that introduces matrix and vector classes and overloaded arithmetic operators. In fact, we think that our proposal would make a natural foundation for a library like what P1385 proposes. However, a free function interface -- which clearly separates algorithms from data structures -- more naturally allows for a richer set of operations such as what the BLAS provides. A natural extension of the present proposal would include accepting P1385's matrix and vector objects as input for the algorithms proposed here. A straightforward way to do that would be for P1385's matrix and vector objects to make views of their data available as basic_mdspan.
%B ISO JTC1 SC22 WG22
%I ISO
%8 2021-04
%G eng
%U http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2021/p1673r3.pdf
%9 standard
%0 Journal Article
%J ACM Transactions on Mathematical Software
%D 2020
%T A Set of Batched Basic Linear Algebra Subprograms
%A Ahmad Abdelfattah
%A Timothy Costa
%A Jack Dongarra
%A Mark Gates
%A Azzam Haidar
%A Sven Hammarling
%A Nicholas J. Higham
%A Jakub Kurzak
%A Piotr Luszczek
%A Stanimire Tomov
%A Mawussi Zounon
%X This paper describes a standard API for a set of Batched Basic Linear Algebra Subprograms (Batched BLAS or BBLAS). The focus is on many independent BLAS operations on small matrices that are grouped together and processed by a single routine, called a Batched BLAS routine. The matrices are grouped together in uniformly sized groups, with just one group if all the matrices are of equal size. The aim is to provide more efficient, but portable, implementations of algorithms on high-performance many-core platforms. These include multicore and many-core CPU processors, GPUs and coprocessors, and other hardware accelerators with floating-point compute facility. As well as the standard types of single and double precision, we also include half and quadruple precision in the standard. In particular half precision is used in many very large scale applications, such as those associated with machine learning.
%B ACM Transactions on Mathematical Software
%8 2020-10
%G eng
%0 Report
%D 2018
%T Batched BLAS (Basic Linear Algebra Subprograms) 2018 Specification
%A Jack Dongarra
%A Iain Duff
%A Mark Gates
%A Azzam Haidar
%A Sven Hammarling
%A Nicholas J. Higham
%A Jonathan Hogg
%A Pedro Valero Lara
%A Piotr Luszczek
%A Mawussi Zounon
%A Samuel D. Relton
%A Stanimire Tomov
%A Timothy Costa
%A Sarah Knepper
%X This document describes an API for Batch Basic Linear Algebra Subprograms (Batched BLAS or BBLAS). We focus on many independent BLAS operations on small matrices that are grouped together and processed by a single routine, called a Batched BLAS routine. The extensions beyond the original BLAS standard are considered that specify a programming interface not only for routines with uniformly-sized matrices and/or vectors but also for the situation where the sizes vary. The aim is to provide more efficient, but portable, implementations of algorithms on high-performance manycore platforms. These include multicore and many-core CPU processors; GPUs and coprocessors; as well as other hardware accelerators with floating-point compute facility.
%8 2018-07
%G eng