Exploring a new method based on generalized eigenvalues for the trust-region subproblem
In 2017, a method for solving the trust-region subproblem using generalized eigenvalues was rediscovered and improved. In 1989, when the original method was proposed, it presented a poor performance, which was caused by the low quality of eigensolvers available at that time. In this work we explore...
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| Format: | Online |
| Language: | English |
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Universidade Estadual de Campinas
2019
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/654 |
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| _version_ | 1864358473291005952 |
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| author | Medeiros, Jean Carlos Aparecido Santos, Sandra Augusta |
| author_facet | Medeiros, Jean Carlos Aparecido Santos, Sandra Augusta |
| author_sort | Medeiros, Jean Carlos Aparecido |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 26 (2018): Congresso de Iniciação Científica Unicamp |
| description | In 2017, a method for solving the trust-region subproblem using generalized eigenvalues was rediscovered and improved. In 1989, when the original method was proposed, it presented a poor performance, which was caused by the low quality of eigensolvers available at that time. In this work we explore some geometric characteristics of this method. |
| first_indexed | 2025-10-08T13:51:36Z |
| format | Online |
| id | ojs-article-654 |
| institution | Universidade Estadual de Campinas |
| issn | 2596-1969 |
| language | eng |
| last_indexed | 2025-10-08T13:51:36Z |
| publishDate | 2019 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-6542025-09-26T14:32:30Z Exploring a new method based on generalized eigenvalues for the trust-region subproblem Medeiros, Jean Carlos Aparecido Santos, Sandra Augusta Unconstrained minimization Eigenvalue problem Trust-region subproblem. In 2017, a method for solving the trust-region subproblem using generalized eigenvalues was rediscovered and improved. In 1989, when the original method was proposed, it presented a poor performance, which was caused by the low quality of eigensolvers available at that time. In this work we explore some geometric characteristics of this method. Universidade Estadual de Campinas 2019-01-16 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artigo de convidado application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/654 10.20396/revpibic262018654 Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 26 (2018): Congresso de Iniciação Científica Unicamp 2596-1969 eng https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/654/646 Copyright (c) 2019 Jean Carlos Aparecido Medeiros, Sandra Augusta Santos http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Medeiros, Jean Carlos Aparecido Santos, Sandra Augusta Unconstrained minimization Eigenvalue problem Trust-region subproblem. Exploring a new method based on generalized eigenvalues for the trust-region subproblem |
| title | Exploring a new method based on generalized eigenvalues for the trust-region subproblem |
| title_full | Exploring a new method based on generalized eigenvalues for the trust-region subproblem |
| title_fullStr | Exploring a new method based on generalized eigenvalues for the trust-region subproblem |
| title_full_unstemmed | Exploring a new method based on generalized eigenvalues for the trust-region subproblem |
| title_short | Exploring a new method based on generalized eigenvalues for the trust-region subproblem |
| title_sort | exploring a new method based on generalized eigenvalues for the trust-region subproblem |
| topic | Unconstrained minimization Eigenvalue problem Trust-region subproblem. |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/654 |
| work_keys_str_mv | AT medeirosjeancarlosaparecido exploringanewmethodbasedongeneralizedeigenvaluesforthetrustregionsubproblem AT santossandraaugusta exploringanewmethodbasedongeneralizedeigenvaluesforthetrustregionsubproblem |
