intro

README.md

@@ -7,13 +7,13 @@
 [![Documentation Status](https://readthedocs.org/projects/amgcl/badge/?version=latest)](http://amgcl.readthedocs.org/en/latest/?badge=latest)
 
 AMGCL is a header-only C++ library for solving large sparse linear systems with
-algebraic multigrid (AMG) method. AMG is one of the most effective methods for
-solution of large sparse unstructured systems of equations, arising, for
-example, from discretization of PDEs on unstructured grids [Stue99], [TrOS01].
-The method can be used as a black-box solver for various computational
-problems, since it does not require any information about the underlying
-geometry. AMG is often used not as a standalone solver but as a preconditioner
-within an iterative solver (e.g. Conjugate Gradients, BiCGStab, or GMRES).
+algebraic multigrid (AMG) method. AMG is one of the most effective iterative
+methods for solution of equation systems arising, for example, from
+discretizing PDEs on unstructured grids. The method can be used as a black-box
+solver for various computational problems, since it does not require any
+information about the underlying geometry. AMG is often used not as a
+standalone solver but as a preconditioner within an iterative solver (e.g.
+Conjugate Gradients, BiCGStab, or GMRES).
 
 AMGCL builds the AMG hierarchy on a CPU and then transfers it to one of the
 provided backends. This allows for transparent acceleration of the solution

docs/index.rst

@@ -2,13 +2,13 @@ AMGCL documentation
 ===================
 
 AMGCL is a header-only C++ library for solving large sparse linear systems with
-algebraic multigrid (AMG) method. AMG is one of the most effective methods for
-solution of systems of equations, arising, for example, from discretizing PDEs
-on unstructured grids [Stue99]_, [TrOS01]_. The method can be used as a
-black-box solver for various computational problems, since it does not require
-any information about the underlying geometry. AMG is often used not as a
-standalone solver but as a preconditioner within an iterative solver (e.g.
-Conjugate Gradients, BiCGStab, or GMRES).
+algebraic multigrid (AMG) method. AMG is one of the most effective iterative
+methods for solution of equation systems arising, for example, from
+discretizing PDEs on unstructured grids [Stue99]_, [TrOS01]_. The method can be
+used as a black-box solver for various computational problems, since it does
+not require any information about the underlying geometry. AMG is often used
+not as a standalone solver but as a preconditioner within an iterative solver
+(e.g.  Conjugate Gradients, BiCGStab, or GMRES).
 
 AMGCL builds the AMG hierarchy on a CPU and then transfers it to one of the
 provided backends. This allows for transparent acceleration of the solution