A method of solving systems of nonlinear equations of large dimension with banded Jacobian matrix

We consider the concept of bandedness in a matrix. We study iterative methods of solving systems of linear and nonlinear equations of large dimension with a banded Jacobian matrix. We propose a method of computing the row submatrix of a certain full Jacobian matrix that is efficient in a certain sense for numerical differentiation of a vector-valued function of several arguments.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 36, 1992, pp. 21–24.