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Modification of TLS algorithm for solving ℱ 2 linear data fitting problems
Author(s) -
Hnětynková Iveta,
Plešinger Martin,
Žáková Jana
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710342
Subject(s) - norm (philosophy) , algorithm , construct (python library) , class (philosophy) , mathematics , computer science , artificial intelligence , political science , law , programming language
It has been proved that the classical TLS algorithm fails to construct a TLS solution of linear data fitting problems AX ≈ B that belong to the class ℱ 2 . It will be shown how to modify this algorithm in order to reach a TLS solution. Such solution is not necessarily the minimum 2‐norm or Frobenius norm one. A few ideas how to decrease its norm are briefly discussed. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)