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Modification of Iterative Tikhonov Regularization Motivated by a Problem of Identification of Laser Beam Quality Parameters

  • Teresa RegińskaEmail author
  • Kazimierz Regiński
Chapter
Part of the Trends in Mathematics book series (TM)

Abstract

Presented is a new method for finding an approximate minimum of a real function given on a discrete set of points where its values are given with some errors. The applied approach is a certain modification of the iterative Tikhonov regularization. The essence of the presented method is to reduce the initial problem to that of finding an approximation of the function in a class of functions whose minimum can easily be calculated. The presented method is motivated by a problem of identification of laser beam quality parameters, however the scope of its applicability is quite general.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Institute of Mathematics of the Polish Academy of SciencesWarsawPoland
  2. 2.Institute of Electron TechnologyWarsawPoland

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