"13623","7","archive","353",,,"disk0/00/01/36/23","2016-08-09 07:55:37","2021-08-27 17:41:27","2016-08-09 07:55:37","article",,,"show","","","1",,,"Ge","R.","","","AL1639","","",,,,,"","","A parallel computing scheme for minimizing a class of large scale functions","pub","","","prog_sds",,,"This paper gives a parallel computing scheme for minimizing a twice continuously differentiable function with the form ƒf(x) = ∑i = 1mƒi(xi) + ∑i = 1m∑j = 1(j > i)m ƒij(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 ƒ(x). The convergence and convergence rate are given under some conditions. The conditions for finding a global minimizer of ƒ(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.","1989-04","published","Elsevier","10.1016/0096-3003(89)90055-6",,,,,,"",,,,,"",,,,,"",,,,,"","",,"",,,,,,,"2669","none",,,,"Applied Mathematics and Computation","30","3",,"261-288",,,,,,,,,,,"TRUE",,"0096-3003",,,,,,"","","","",,"","",,,,,,,"",,,,,"FALSE","no",,"info:eu-repo/semantics/article",