Coarse space construction based on Chebyshev polynomials for graphic analysis

Magoulès, Frédéric and Gbikpi-Benissan, Guillaume (2014) Coarse space construction based on Chebyshev polynomials for graphic analysis. Pollack Periodica, 9 (2). pp. 3-14. ISSN 1788-1994

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Abstract

In this paper, a new coarse space based on Chebyshev polynomials is considered as a preconditioning technique for the solution of algebraic systems of equations arising from image reconstruction. These systems are commonly obtained from the use of Compactly-Supported Radial Basis Functions for interpolating scattered image data. Here an efficient and robust coarse space preconditioning technique is presented and the convergence behaviour of the associated iterative method upon different types of functions used for designing the coarse space is studied.

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