Matrix Representations of Nonlinear Equation Iterations—Application to Parallel Computation

نویسندگان

  • John R. Rice
  • JOHN R. RICE
چکیده

A matrix representation of iterative methods is presented which includes almost all those based on polynomial methods. A simple lemma and corollaries are established which show that the order of convergence of the iteration is the spectral radius of the matrix representation. A number of old and new methods, particularly those adapted to parallel computation, are analyzed using this representation.

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تاریخ انتشار 2010