@article{iiasa13623,
          volume = {30},
          number = {3},
           month = {April},
           title = {A parallel computing scheme for minimizing a class of large scale functions},
       publisher = {Elsevier},
            year = {1989},
         journal = {Applied Mathematics and Computation},
             doi = {10.1016/0096-3003(89)90055-6},
           pages = {261--288},
             url = {https://pure.iiasa.ac.at/id/eprint/13623/},
            issn = {0096-3003},
        abstract = {This paper gives a parallel computing scheme for minimizing a twice continuously differentiable function with the form ?f(x) = {$\sum$}i = 1m?i(xi) + {$\sum$}i = 1m{$\sum$}j = 1(j {\ensuremath{>}} i)m ?ij(xi, xj),where x = (xT1,?,xTm)T and xi {$\in$} Rni, {$\sum$}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.},
          author = {Ge, R.}
}