Computing method for solving large scale matrix problems

被引：0

作者：

Joukov, OD ^{[1
]}

Rishe, ND ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 119992, Russia

来源：

6TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XI, PROCEEDINGS: COMPUTER SCIENCE II | 2002年

关键词：

matrix computing; hypercomplex systems; quarternion algebra; remainder systems; real and complex numbers;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper it is shown a possibility of creating efficient computing technology for solving matrix-based scientific, engineering, economic, and other problems. It is based on using the new class of hypercomplex systems opened by W.F. Hamilton but formed by a procedure which is different from the,procedure proposed by his followers. This method allows, for example, to reduce multiplication and summation of two large size matrices to multiplication and summation of only two whole numbers and, in general, to use a single real number as an operand instead of matrix. Transforming matrices and vectors into whole numbers can be performed on the basis of parallel multiprocessor system.

引用

页码：323 / 328

页数：6

共 50 条

[21] An efficient computational method for solving large-scale differential sensitivity problems
del Barrio, EP
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2003, 43 (04) : 353 - 372
[22] A robust and informative method for solving large-scale power flow problems
Murray, Walter
De Rubira, Tomas Tinoco
Wigington, Adam
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2015, 62 (02) : 431 - 475
[23] Solving large-scale control problems
Benner, P
IEEE CONTROL SYSTEMS MAGAZINE, 2004, 24 (01): : 44 - 59
[24] Solving large scale crew scheduling problems
Chu, HD
Gelman, E
Johnson, EL
INTERFACES IN COMPUTER SCIENCE AND OPERATIONS RESEARCH: ADVANCES IN METAHEURISTICS, OPTIMIZATION, AND STOCHASTIC MODELING TECHNOLOGIES, 1997, : 183 - 194
[25] Solving large scale crew scheduling problems
Chu, HD
Gelman, E
Johnson, EL
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1997, 97 (02) : 260 - 268
[26] The RSRR method for solving large-scale nonlinear eigenvalue problems in boundary element method
Xiao, Jinyou
Wang, Junpeng
Liang, Tengfei
Wen, Lihua
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2018, 93 : 150 - 160
[27] On solving large data matrix problems in Fuzzy AHP
Sakhardande, Milind Jaiwant
Gaonkar, Rajesh Suresh Prabhu
EXPERT SYSTEMS WITH APPLICATIONS, 2022, 194
[28] Parallel Implementation of Generalized Newton Method for Solving Large-Scale LP Problems
Evtushenko, Yu. G.
Garanzha, V. A.
Golikov, A. I.
Nguyen, H. M.
PARALLEL COMPUTING TECHNOLOGIES, PROCEEDINGS, 2009, 5698 : 84 - 97
[29] Newton method with explicit group iteration for solving large scale unconstrained optimization problems
Ghazali, K.
Sulaiman, J.
Dasril, Y.
Gabda, D.
3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS, 2018, 1132
[30] Parallel Implementation of a Central Decomposition Method for Solving Large-Scale Planning Problems
J. Gondzio
R. Sarkissian
J.-Ph. Vial
Computational Optimization and Applications, 2001, 19 : 5 - 29

← 1 2 3 4 5 →