Inexact Newton regularization methods in Hilbert scales

Qinian Jin; Ulrich Tautenhahn

doi:10.1007/s00211-010-0342-3

Inexact Newton regularization methods in Hilbert scales

Qinian Jin^*, Ulrich Tautenhahn

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.

Original language	English
Pages (from-to)	555-579
Number of pages	25
Journal	Numerische Mathematik
Volume	117
Issue number	3
DOIs	https://doi.org/10.1007/s00211-010-0342-3
Publication status	Published - Mar 2011
Externally published	Yes

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title = "Inexact Newton regularization methods in Hilbert scales",

abstract = "We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.",

author = "Qinian Jin and Ulrich Tautenhahn",

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doi = "10.1007/s00211-010-0342-3",

language = "English",

volume = "117",

pages = "555--579",

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AU - Jin, Qinian

AU - Tautenhahn, Ulrich

PY - 2011/3

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N2 - We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.

AB - We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.

UR - https://www.scopus.com/pages/publications/79751535143

U2 - 10.1007/s00211-010-0342-3

DO - 10.1007/s00211-010-0342-3

M3 - Article

SN - 0029-599X

VL - 117

SP - 555

EP - 579

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 3

ER -

Inexact Newton regularization methods in Hilbert scales

Abstract

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