Tools of mathematical service MathPartner for parallel computations on a cluster
https://doi.org/10.15514/ISPRAS-2016-28(3)-11
Abstract
References
1. Strassen V. Gaussian Elimination is not optimal. Numerische Mathematik. 13, 1969, pp. 354-356.
2. Malaschonok G. Matrix calculation methods in commutative domains. Tambov: Izd-vo Tambovskogo universiteta [Tambov University publishing], 2002, 213 p. (in Russian).
3. Malaschonok G. On computation of kernel of operator acting in a module. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2008, vol. 13, issue 1, pp. 129-131 (in Russian).
4. Gennadi Malaschonok and Evgeni Ilchenko. Decentralized control of parallel computing. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012, pp. 57-58.
5. Betin A. Experiments with a parallel algorithm for calculation of adjoint matrix and with a parallel algorithm for multiplication of file matrices. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences, 2010, vol. 15, issue 1, pp. 341-345 (in Russian).
6. Betin A. Experiments with a parallel algorithm for calculation of adjoint matrix. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2010, vol. 15, issue 6, pp. 1748-1754 (in Russian).
7. Malaschonok G. Computer mathematics for computational network. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2010, vol. 15, issue 1, pp. 322-327 (in Russian).
8. Malaschonok G. Managing of the parallel calculative process. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2009, vol. 14, issue 1, pp. 269-274 (in Russian).
9. Malaschonok G., Valeev U. Organization of parallel computations in recursive symbol-numerical algorithms. Trudy konferencii PaVT'2008 [Proceedings of conference PCT'2008] (St. Petersburg). Chelyabinsk: Publishing house SUSU, 2008, pp. 153-165 (in Russian).
10. Malaschonok G., Valeev U. Recursive disparallelizing of symbol-numerical algorithms. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences, 2006, vol. 11, issue. 4, pp. 536-549 (in Russian).
11. Malaschonok G., Valeev U. On some approaches to the construction of the parallel program. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2005, vol. 10, issue 1, pp. 154-156 (in Russian).
12. Malaschonok G.I. Effective Matrix Methods in Commutative Domains. Formal Power Series and Algebraic Combinatorics. Berlin: Springer, 2000, pp. 506-517.
13. Ilchenko E. About effective methods of parallelizing block recursive algorithms. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2015, . 20, issue. 5, pp. 1173-1186 (in Russian).
14. Pereslavceva O. Parallel algorithm for computing the characteristic polynomials of polynomial matrices and algorithm’s computational time. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2014, vol. 19, issue 2, pp. 530-538 (in Russian).
15. Ivaschov D. Parallel algorithms factorizationof polinomialswith different sets of variables. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2014, vol. 19, issue 2, pp. 558-565 (in Russian).
16. Kireev S., Malaschonok G. Tropical calculations in web service MathPartner. Vestnik Tambovskogo universiteta. Ser. Estestvennye i tekhnicheskie nauki [Tambov University Reports. Series: Natural and Technical Sciences], 2014, vol. 19, issue 2, pp. 539-550 (in Russian).
Review
For citations:
Ilchenko E.A. Tools of mathematical service MathPartner for parallel computations on a cluster. Proceedings of the Institute for System Programming of the RAS (Proceedings of ISP RAS). 2016;28(3):173-188. (In Russ.) https://doi.org/10.15514/ISPRAS-2016-28(3)-11