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2003•Proceedings - International Conference on Image ProcessingRequires access

On global and local convergence of half-quadratic algorithms

Marc Allain, Jérôme Idier, Yves Goussard

Open publisher page 3 citations

Abstract

This study gives original results on the global and local convergence properties of half-quadratic (HQ) algorithms resulting from the Geman and Yang (GY) and Geman and Reynolds (GR) primal-dual constructions. In particular, we show that the: convergence domain of the GY algorithm can be extended with the benefit of an improved convergence rate.

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What this paper is about

This study gives original results on the global and local convergence properties of half-quadratic (HQ) algorithms resulting from the Geman and Yang (GY) and Geman and Reynolds (GR) primal-dual constructions. In particular, we show that the: convergence domain of the GY algorithm can be extended with the benefit of an improved convergence rate.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This study gives original results on the global and local convergence properties of half-quadratic (HQ) algorithms resulting from the Geman and Yang (GY) and Geman and Reynolds (GR) primal-dual constructions. In particular, we show that the: convergence domain of the GY algorithm can be extended with the benefit of an improved convergence rate.

Key concepts: Convergence (economics), Quadratic equation, Rate of convergence, Algorithm, Quadratic model, Compact convergence, Dual (grammatical number), Domain (mathematical analysis)

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