Three Term Conjugate Gradient Technique and its Global Convergence based on the Zhang, Zhou and Li methods
The optimal conjugation coefficient distinguishes conjugate gradient methods such as two-term, three-term, and conditional from other descent methods. A novel conjugation parameter formula is constructed from Zhang, Zhou, and Li's well-known formula to formulate a three-term conjugation gradie...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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Tikrit University
2022-11-01
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| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/72 |
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| Summary: | The optimal conjugation coefficient distinguishes conjugate gradient methods such as two-term, three-term, and conditional from other descent methods. A novel conjugation parameter formula is constructed from Zhang, Zhou, and Li's well-known formula to formulate a three-term conjugation gradient method in the unconstrained optimization domain. The conjugation parameter and the third term parameter were constructed by incorporating the Perry conjugation condition into Shanno's memory-free strategy of a conjugate gradient. The approach demonstrated a steeply sloped search direction for each iteration by demonstrating stability, global convergence, and sufficient descent analysis in the presence of a strong Wolf case. The empirical results established that the proposed method is more efficient than Zhang et al.'s techniques. Through the use of a collection of nonlinear mathematical functions.
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| ISSN: | 1813-1662 2415-1726 |