Abstract
It has been established in Chapter 2 that the condition (2.1.7) for positive perturbation parameters δ and h and regularization parameter α are su.cient for the operator regularization methods to be convergent to solutions of monotone and accretive operator equations. However, such a wide choice of parameters does not possess the regularizing properties in the sense of De.nition 5 (see Preface). Our aim in this chapter is to indicate the ways to .nd the functions α = α(δ, h), which solve this problem when δ → 0 and h → 0.
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© 2006 Springer
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ALBER, Y., RYAZANTSEVA, I. (2006). PARAMETERIZATION OF REGULARIZATION METHODS. In: Nonlinear Ill-posed Problems of Monotone Type. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4396-1_3
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DOI: https://doi.org/10.1007/1-4020-4396-1_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4395-6
Online ISBN: 978-1-4020-4396-3
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