depend on the right-hand side bV: gr() = gr(., b). Therefore, the cg-method is a nonlinear scheme in contrast to the other mentioned examples.
Inexact Newton Regularization Using Conjugate Gradients as Inner Iteration
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By numerical experiments we illustrate that the conjugate gradient method outperforms the ν -method as inner iteration.
performs the ν-method as inner iteration. Key words. Nonlinear ill-posed problems, inexact Newton iteration, conjugate gradients, ν-methods, regularization.
nonlinear ill-posed problems, inexact Newton iteration, conjugate gradients, ν- ... for a regularization scheme of inexact Newton type with the cg-method as inner ...
In the present paper we prove convergence rates for {\tt REGINN} when the conjugate gradient method, which is nonlinear, serves as inner iteration. Thereby we ...
In the present paper we prove convergence rates for {\tt REGINN} when the conjugate gradient method, which is nonlinear, serves as inner iteration. Thereby we ...
Jan 17, 2020 · In this paper we prove order optimality of an inexact Newton regularization method, where the linearized equations are solved approximately using the conjugate ...
Missing: Conjugate Gradients
This inexact Newton method solves nonlinear inverse problems by means of linearizing the equation around the current iterate and subsequently applying a ...
In this paper, we propose and analyze a new inexact Newton regularization method for solving nonlinear inverse problems in Banach spaces.
In Section 3, we describe the inexact Newton method combined with CG as inner iteration, and in Section 4, we prove its order optimality and apply the results ...