V-cycle optimal convergence for DCT-III matrices

Details V-cycle optimal convergence for DCT-III matrices V-cycle optimal convergence for DCT-III matrices

2007-04-16

arxiv.org/abs/0704.1980v1

Mathematics

Numerical Analysis

19 pages

Scientific paper

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.

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