Dissertation is submitted in fulfillment of the requirements for the degree of Doctor of Philosophy (PhD): 6D060100 – Mathematics. — Al-Farabi Kazakh National University; Institute of Mathematics and Mathematical Modeling. — Almaty, 2019. — 72 p. Scientific advisers: Mynbaev Kairat Turysbekovich, Doctor of Physical and Mathematical Sciences, Professor, Institute of Mathematics and...
Technical University of Munich, 2018. — 214 p. We develop and investigate new computational methods for data analysis problems belonging to the family of iteratively reweighted least squares (IRLS) algorithms. First, we discuss IRLS-methods for nonlinear regression entailing nonconvex or even nonsmooth optimization problems. Next, we introduce an IRLS-variant with a novel...
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