Two-grid methods for banded linear systems from DCT III algebra

نویسندگان

  • R. H. Chan
  • Stefano Serra Capizzano
  • Cristina Tablino Possio
چکیده

We describe a two-grid and a multigrid method for linear systems whose coe cient matrices are point or block matrices from the cosine algebra generated by a polynomial. We show that the convergence rate of the two-grid method is constant independent of the size of the given matrix. Numerical examples from di erential and integral equations are given to illustrate the convergence of both the two-grid and the multigrid method. Copyright ? 2004 John Wiley & Sons, Ltd.

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عنوان ژورنال:
  • Numerical Lin. Alg. with Applic.

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2005