Dynamical Systems Method of gradient type for solving nonlinear equations with monotone operators
โ Scribed by N. S. Hoang
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 685 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0006-3835
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๐ SIMILAR VOLUMES
Consider an operator equation B(u) ร f = 0 in a real Hilbert space. Let us call this equation ill-posed if the operator B 0 (u) is not boundedly invertible, and well-posed otherwise. The dynamical systems method (DSM) for solving this equation consists of a construction of a Cauchy problem, which ha
In this paper, we propose an algorithm for solving systems of monotone equations. The method is a combination of the well-known PRP method and the hyperplane projection method. We prove that the proposed method is globally convergent if the equation is monotone and Lipschitz continuous without any d