New newton group Iterative methods for solving large-scale multi-objective constrained optimization problems
With the rapid development of big data and artificial intelligence technologies, we are facing increasingly complex data and decision-making problems. Solving large-scale multiobjective constrained optimization problems can help to solve many practical engineering and scientific problems. The weig...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | en |
| Published: |
European journal of pure and applied mathematics
2025
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/43895/1/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/43895/ https://doi.org/10.29020/nybg.ejpam.v18i1.5551 |
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| Summary: | With the rapid development of big data and artificial intelligence technologies, we
are facing increasingly complex data and decision-making problems. Solving large-scale multiobjective constrained optimization problems can help to solve many practical engineering and
scientific problems. The weighted and Lagrange multiplier methods are considered to be classical
and effective methods for dealing with multiple objectives and constraints, but there are some
difficulties in solving the processed unconstrained optimization problems. The Newton method is
a commonly used method for solving this type of problem, but it requires a high computational
complexity. In order to solve these difficulties, we combine four methods such as the Weighted
method, Lagrange multiplier method, Newton method and Explicit Group Gauss-Seidel iterative
method to propose new Newton Group iterative methods such as 2 and 4-point Explicit Group
Gauss-Seidel iterative methods namely as Newton-2EGGS and Newton-4EGGS for solving largescale multi-objective constrained optimization problems. Also, the convergence analysis of the
proposed method is presented. To test the superiority of the proposed method by comparing the
computational results, the Newton-4EGGS iteration is more efficient than both Newton-2EGGS
iterative method and the Newton-Gauss-Seidel iterative method (Newton-GS), especially in terms
of the number of iterations and the computational time. |
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