Computer technology for solving large scale matrix problems Article

Joukov, OD, Rishe, ND. (2003). Computer technology for solving large scale matrix problems . 2667 848-854. 10.1007/3-540-44839-x_89

cited authors

  • Joukov, OD; Rishe, ND

fiu authors

abstract

  • In this paper it is shown a possibility of creating efficient computing technology for solving matrix-vector-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/summation of two large size matrixes/vectors to multiplication/summation of only two whole numbers and, in general, to use a single real number as an operand instead of matrix/vector. Transforming matrices and vectors into whole numbers can be performed on the basis of parallel massive/multiprocessor systems. © Springer-Verlag Berlin Heidelberg 2003.

publication date

  • January 1, 2003

Digital Object Identifier (DOI)

start page

  • 848

end page

  • 854

volume

  • 2667