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

研究成果: Conference contribution

摘要

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.

原文English
主出版物標題Optimization of Complex Systems
主出版物子標題Theory, Models, Algorithms and Applications, 2019
編輯Hoai An Le Thi, Hoai Minh Le, Tao Pham Dinh
發行者Springer Verlag
頁面221-227
頁數7
ISBN(列印)9783030218027
DOIs
出版狀態Published - 2020 一月 1
事件6th World Congress on Global Optimization, WCGO 2019 - Metz, France
持續時間: 2019 七月 82019 七月 10

出版系列

名字Advances in Intelligent Systems and Computing
991
ISSN(列印)2194-5357

Conference

Conference6th World Congress on Global Optimization, WCGO 2019
國家France
城市Metz
期間19-07-0819-07-10

指紋

Polynomials

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science(all)

引用此文

Nguyen, H. Q., Sheu, R-L., & Xia, Y. (2020). Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma. 於 H. A. Le Thi, H. M. Le, & T. Pham Dinh (編輯), Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019 (頁 221-227). (Advances in Intelligent Systems and Computing; 卷 991). Springer Verlag. https://doi.org/10.1007/978-3-030-21803-4_23
Nguyen, Huu Quang ; Sheu, Ruey-Lin ; Xia, Yong. / Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma. Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019. 編輯 / Hoai An Le Thi ; Hoai Minh Le ; Tao Pham Dinh. Springer Verlag, 2020. 頁 221-227 (Advances in Intelligent Systems and Computing).
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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.",
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Nguyen, HQ, Sheu, R-L & Xia, Y 2020, Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma. 於 HA Le Thi, HM Le & T Pham Dinh (編輯), Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019. Advances in Intelligent Systems and Computing, 卷 991, Springer Verlag, 頁 221-227, 6th World Congress on Global Optimization, WCGO 2019, Metz, France, 19-07-08. https://doi.org/10.1007/978-3-030-21803-4_23

Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma. / Nguyen, Huu Quang; Sheu, Ruey-Lin; Xia, Yong.

Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019. 編輯 / Hoai An Le Thi; Hoai Minh Le; Tao Pham Dinh. Springer Verlag, 2020. p. 221-227 (Advances in Intelligent Systems and Computing; 卷 991).

研究成果: Conference contribution

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Nguyen HQ, Sheu R-L, Xia Y. Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma. 於 Le Thi HA, Le HM, Pham Dinh T, 編輯, Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019. Springer Verlag. 2020. p. 221-227. (Advances in Intelligent Systems and Computing). https://doi.org/10.1007/978-3-030-21803-4_23