On the numerical solving of one minimization problem
In this paper we consider the dependence of iterative methods convergence rate on iterative parameters selection. We propose the numerical algorithm determination of the optimal iterative parameters. Using it we solve classical minimization 2D and 3D problems and modificate 2D and 3D minimization p...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2002-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/33039 |
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| _version_ | 1825197263614377984 |
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| author | Raimondas Čiegis Violeta Pakenienė |
| author_facet | Raimondas Čiegis Violeta Pakenienė |
| author_sort | Raimondas Čiegis |
| collection | DOAJ |
| description |
In this paper we consider the dependence of iterative methods convergence rate on iterative parameters selection. We propose the numerical algorithm determination of the optimal iterative parameters. Using it we solve classical minimization 2D and 3D problems and modificate 2D and 3D minimization problems and analyse the convergence rate dependence on the matrix spectral characteristics.
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| format | Article |
| id | doaj-art-a9aa35a1b23640f2987c3a8c7416cedd |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2002-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-a9aa35a1b23640f2987c3a8c7416cedd2025-02-11T18:13:12ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2002-12-0142spec.10.15388/LMR.2002.33039On the numerical solving of one minimization problemRaimondas Čiegis0Violeta Pakenienė1Vilnius Gediminas Technical UniversityInstitute of Mathematics and Informatics In this paper we consider the dependence of iterative methods convergence rate on iterative parameters selection. We propose the numerical algorithm determination of the optimal iterative parameters. Using it we solve classical minimization 2D and 3D problems and modificate 2D and 3D minimization problems and analyse the convergence rate dependence on the matrix spectral characteristics. https://www.zurnalai.vu.lt/LMR/article/view/33039 |
| spellingShingle | Raimondas Čiegis Violeta Pakenienė On the numerical solving of one minimization problem Lietuvos Matematikos Rinkinys |
| title | On the numerical solving of one minimization problem |
| title_full | On the numerical solving of one minimization problem |
| title_fullStr | On the numerical solving of one minimization problem |
| title_full_unstemmed | On the numerical solving of one minimization problem |
| title_short | On the numerical solving of one minimization problem |
| title_sort | on the numerical solving of one minimization problem |
| url | https://www.zurnalai.vu.lt/LMR/article/view/33039 |
| work_keys_str_mv | AT raimondasciegis onthenumericalsolvingofoneminimizationproblem AT violetapakeniene onthenumericalsolvingofoneminimizationproblem |