Search Results - "Anzengruber, Stephan W."

Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces by Anzengruber, Stephan W., Hofmann, Bernd, Mathé, Peter

“…The stable solution of ill-posed non-linear operator equations in Banach space requires regularization. One important approach is based on Tikhonov…”
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Numerical methods for the design of gradient-index optical coatings by Anzengruber, Stephan W, Klann, Esther, Ramlau, Ronny, Tonova, Diana

“…We formulate the problem of designing gradient-index optical coatings as the task of solving a system of operator equations. We use iterative numerical…”
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A global minimization algorithm for Tikhonov functionals with sparsity constraints by Wang, Wei, Anzengruber, Stephan W., Ramlau, Ronny, Han, Bo

“…In this paper, we present a globally convergent algorithm for the computation of a minimizer of the Tikhonov functional with sparsity promoting penalty term…”
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Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization by Anzengruber, Stephan W, Buerger, Steven, Hofmann, Bernd, Steinmeyer, Guenter

“…The SD-SPIDER method for the characterization of ultrashort laser pulses requires the solution of a nonlinear integral equation of autoconvolution type with a…”
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On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization by Anzengruber, Stephan W, Hofmann, Bernd, Ramlau, Ronny

“…Inverse Problems 29 (2013), 125002 The convergence rates results in $\ell^1$-regularization when the sparsity assumption is narrowly missed, presented by…”
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A global minimization algorithm for Tikhonov functionals with sparsity constraints by Wang, Wei, Anzengruber, Stephan W, Ramlau, Ronny, Han, Bo

“…Applicable Analysis 94 (2015), 580--611 In this paper we present a globally convergent algorithm for the computation of a minimizer of the Tikhonov functional…”
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