Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators |
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Authors: | Janos Karatson |
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Affiliation: | (1) Department of Applied Analysis, ELTE University, H-1518 Budapest, Hungary |
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Abstract: | A mesh independent bound is given for the superlinear convergence of the CGM for preconditioned self-adjoint linear elliptic problems using suitable equivalent operators. The results rely on K-condition numbers and related estimates for compact Hilbert-Schmidt operators in Hilbert space.This research was supported by the Hungarian National Research Fund OTKA under grant No. T043765. |
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Keywords: | conjugate gradient method superlinear convergence mesh independence preconditioning operator |
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