V-cycle Optimal Convergence for DCT-III Matrices

  • C. Tablino Possio
Part of the Operator Theory: Advances and Applications book series (OT, volume 199)


The paper analyzes a two-grid and a multigrid method for matrices belonging to the DCT-III algebra and generated by a polynomial symbol. The aim is to prove that the convergence rate of the considered multigrid method (V-cycle) is constant independent of the size of the given matrix. Numerical examples from differential and integral equations are considered to illustrate the claimed convergence properties.

Mathematics Subject Classification (2000)

Primary 65F10 65F15 15A12 


DCT-III algebra two-grid and multigrid iterations multi-iterative methods 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010

Authors and Affiliations

  • C. Tablino Possio
    • 1
  1. 1.Dipartimento di Matematica e ApplicazioniUniversità di Milano BicoccaMilanoItaly

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