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Dynamical Systems Gradient Method for Solving Nonlinear Equations with Monotone Operators

โœ Scribed by N. S. Hoang; A. G. Ramm


Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
585 KB
Volume
106
Category
Article
ISSN
0167-8019

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Dynamical systems method for ill-posed e
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 283 KB

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