TY  - JOUR
ID  - iiasa13623
UR  - https://pure.iiasa.ac.at/id/eprint/13623/
IS  - 3
A1  - Ge, R.
Y1  - 1989/04//
N2  - This paper gives a parallel computing scheme for minimizing a twice continuously differentiable function with the form ?f(x) = ?i = 1m?i(xi) + ?i = 1m?j = 1(j > i)m ?ij(xi, xj),where x = (xT1,?,xTm)T and xi ? Rni, ?mi = 1ni = n, and n a very big number. It is proved that we may use m parallel processors and an iterative procedure to find a minimizer of ?(x). The convergence and convergence rate are given under some conditions. The conditions for finding a global minimizer of ?(x by using this scheme are given, too. A similar scheme can also be used parallelly to solve a large scale system of nonlinear equations in the similar way. A more general case is also investigated.
PB  - Elsevier
JF  - Applied Mathematics and Computation
VL  - 30
SN  - 0096-3003
TI  - A parallel computing scheme for minimizing a class of large scale functions
SP  - 261
AV  - none
EP  - 288
ER  -