An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis
This study employs exact line search iterative algorithms for solving large scale unconstrained optimization problems in which the direction is a three-term modification of iterative method with two different scaled parameters. The objective of this research is to identify the effectiveness of the n...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/6/977 |
| _version_ | 1797565269395111936 |
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| author | Siti Farhana Husin Mustafa Mamat Mohd Asrul Hery Ibrahim Mohd Rivaie |
| author_facet | Siti Farhana Husin Mustafa Mamat Mohd Asrul Hery Ibrahim Mohd Rivaie |
| author_sort | Siti Farhana Husin |
| collection | DOAJ |
| description | This study employs exact line search iterative algorithms for solving large scale unconstrained optimization problems in which the direction is a three-term modification of iterative method with two different scaled parameters. The objective of this research is to identify the effectiveness of the new directions both theoretically and numerically. Sufficient descent property and global convergence analysis of the suggested methods are established. For numerical experiment purposes, the methods are compared with the previous well-known three-term iterative method and each method is evaluated over the same set of test problems with different initial points. Numerical results show that the performances of the proposed three-term methods are more efficient and superior to the existing method. These methods could also produce an approximate linear regression equation to solve the regression model. The findings of this study can help better understanding of the applicability of numerical algorithms that can be used in estimating the regression model. |
| first_indexed | 2024-03-10T19:09:44Z |
| format | Article |
| id | doaj.art-fc2fb267279e488d89d4d441dca84b5b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:09:44Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fc2fb267279e488d89d4d441dca84b5b2023-11-20T03:55:47ZengMDPI AGMathematics2227-73902020-06-018697710.3390/math8060977An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression AnalysisSiti Farhana Husin0Mustafa Mamat1Mohd Asrul Hery Ibrahim2Mohd Rivaie3Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu 21300, MalaysiaFaculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu 21300, MalaysiaFaculty of Entrepreneurship and Business, Universiti Malaysia Kelantan, Kelantan 16100, MalaysiaDepartment of Computer Sciences and Mathematics, Universiti Teknologi Mara, Terengganu 54000, MalaysiaThis study employs exact line search iterative algorithms for solving large scale unconstrained optimization problems in which the direction is a three-term modification of iterative method with two different scaled parameters. The objective of this research is to identify the effectiveness of the new directions both theoretically and numerically. Sufficient descent property and global convergence analysis of the suggested methods are established. For numerical experiment purposes, the methods are compared with the previous well-known three-term iterative method and each method is evaluated over the same set of test problems with different initial points. Numerical results show that the performances of the proposed three-term methods are more efficient and superior to the existing method. These methods could also produce an approximate linear regression equation to solve the regression model. The findings of this study can help better understanding of the applicability of numerical algorithms that can be used in estimating the regression model.https://www.mdpi.com/2227-7390/8/6/977steepest descent methodlarge-scale unconstrained optimizationregression model |
| spellingShingle | Siti Farhana Husin Mustafa Mamat Mohd Asrul Hery Ibrahim Mohd Rivaie An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis Mathematics steepest descent method large-scale unconstrained optimization regression model |
| title | An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis |
| title_full | An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis |
| title_fullStr | An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis |
| title_full_unstemmed | An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis |
| title_short | An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis |
| title_sort | efficient three term iterative method for estimating linear approximation models in regression analysis |
| topic | steepest descent method large-scale unconstrained optimization regression model |
| url | https://www.mdpi.com/2227-7390/8/6/977 |
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