  A nonlinear equation in a Banach space is written as a linear equation with a
linear operator depending on the unknown solution. This method, which we call a
global linearization method, differs essentially from the local linearization
methods of the Newton-type.
  Inverting the above linear operator by the methods known for linear operators
one gets an equation which sometimes is much better for numerical solution than
the original one. Some theorems about convergence of the proposed iterative
process for solving the transformed equation are given. Examples of
applications are considered.
