Title of article :
Convergence analysis of a block iterative version of the loping Landweber–Kaczmarz iteration Original Research Article
Author/Authors :
Markus Haltmeier، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Pages :
8
From page :
2912
To page :
2919
Abstract :
The loping Landweber–Kaczmarz iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate a block iterative version that allows variable block sizes and variable grouping of the sub-equations during the iterations. We show that the proposed method converges for exact data and is a strongly convergent regularization method for noisy data.
Keywords :
Ill-posed equations , Regularization , Block iterative methods , Integral equations , Landweber iteration , Kaczmarz iteration
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Serial Year :
2009
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Record number :
862058
Link To Document :
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