Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma

Huu Quang Nguyen, Ruey Lin Sheu, Yong Xia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a new S-lemma with two quadratic equalities and use it to minimize a special type of polynomials of degree 4. As a result, by the Dinkelbach approach with 2 SDP’s (semidefinite programming), the minimum value and the minimum solution to the Tikhonov regularization of the total least squares problem with can be nicely obtained.

Original languageEnglish
Title of host publicationOptimization of Complex Systems
Subtitle of host publicationTheory, Models, Algorithms and Applications, 2019
EditorsHoai An Le Thi, Hoai Minh Le, Tao Pham Dinh
PublisherSpringer Verlag
Pages221-227
Number of pages7
ISBN (Print)9783030218027
DOIs
Publication statusPublished - 2020
Event6th World Congress on Global Optimization, WCGO 2019 - Metz, France
Duration: 2019 Jul 82019 Jul 10

Publication series

NameAdvances in Intelligent Systems and Computing
Volume991
ISSN (Print)2194-5357
ISSN (Electronic)2194-5365

Conference

Conference6th World Congress on Global Optimization, WCGO 2019
Country/TerritoryFrance
CityMetz
Period19-07-0819-07-10

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • General Computer Science

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