BPAS swMATH ID: 8399 Software Authors: Changbo Chen, Farnam Mansouri, Marc Moreno Maza, Ning Xie, Yuzhen Xie Description: BPAS library (Basic Polynomial Algebra Subprograms): The BPAS library provides support for arithmetic operations with polynomials on modern computer architectures, in particular hardware accelerators. Typical operations are polynomial multiplication, multi-point evaluation and interpolation, real root isolation for both univariate and multivariate systems. In its current version, the BPAS distribution contains code for dense polynomials whose coefficients can be either rational numbers, or integer numbers or elements of a prime field. The BPAS library code is written in CilkPlus targeting multi-core processors. Hence to run BPAS code in parallel fashion, the CilkPlus run-time is required. The BPAS library is intended to interact with the CUMODP library which combines serial C code and multithreaded CUDA code. However, each of the BPAS library and CUMODP library can operate independently of each other. Additionally, the BPAS library can cooperate with an OpenMP library provided that this latter is available in source. Them, the translators of the Meta_Fork Framework can be used to convert code from one library to the other. Homepage: http://www.bpaslib.org/ Dependencies: GMP Related Software: FLINT; Magma; Cilk; modpn; Maple; gmp; RegularChains; NTL; AXIOM; FFTW; Database of Polynomial Systems; Audi; PoSSo; PowerSeries; Mathematica; SageMath; SolveTools; MultivariatePowerSeries; ALTRAN Cited in: 7 Publications Further Publications: http://www.bpaslib.org/publications.html Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Basic polynomial algebra subprograms. Zbl 1322.68273Chen, Changbo; Covanov, Svyatoslav; Mansouri, Farnam; Maza, Marc Moreno; Xie, Ning; Xie, Yuzhen 2014 Balanced dense polynomial multiplication on multi-cores. Zbl 1222.68416Moreno Maza, Marc; Xie, Yuzhen 2011 all top 5 Cited by 10 Authors 7 Moreno Maza, Marc 6 Xie, Yuzhen 3 Chen, Changbo 3 Covanov, Svyatoslav 3 Mansouri, Farnam 3 Moir, Robert H. C. 3 Xie, Ning 2 Asadi, Mohammadali 2 Brandt, Alexander 1 Chen, Changno Cited in 3 Serials 3 ACM Communications in Computer Algebra 1 Journal of Symbolic Computation 1 International Journal of Foundations of Computer Science all top 5 Cited in 6 Fields 6 Computer science (68-XX) 3 Commutative algebra (13-XX) 3 Numerical analysis (65-XX) 2 Field theory and polynomials (12-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) Citations by Year