الملخص
There have been some conjugate gradient methods with strong convergence but numerical instability and conversely. Improving these methods is an interesting idea to produce new methods with both strong convergence and numerical stability. In this paper, a new hybrid conjugate gradient method is introduced based on the Fletcher formula (CD) with strong convergence and the Liu and Storey formula (LS) with good numerical results. New directions satisfy the sufficient descent property, independent of line search. Under some mild assumptions, the global convergence of new hybrid method is proved. Numerical results on unconstrained CUTEst test problems show that the new algorithm is very robust and efficient.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.53539/squjs.vol27iss2pp90-99
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 27(2), 90-99
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY-ND 4.0
اقتبس هذه المقالة
APA 7
Rahpeymaii, F., & Rostami, M. (2023). Solving Unconstrained Optimization Problems by a New Conjugate Gradient Method with Sufficient Descent Property. Sultan Qaboos University Journal for Science, 27(2), 90-99. https://doi.org/10.53539/squjs.vol27iss2pp90-99
MLA 9
Rahpeymaii, Farzad, and Majid Rostami. "Solving Unconstrained Optimization Problems by a New Conjugate Gradient Method with Sufficient Descent Property." Sultan Qaboos University Journal for Science, vol. 27, no. 2, 2023, pp. 90-99. https://doi.org/10.53539/squjs.vol27iss2pp90-99.
شيكاغو (المؤلف–التاريخ)
Rahpeymaii, Farzad, and Majid Rostami. 2023. "Solving Unconstrained Optimization Problems by a New Conjugate Gradient Method with Sufficient Descent Property." Sultan Qaboos University Journal for Science 27 (2): 90-99. https://doi.org/10.53539/squjs.vol27iss2pp90-99.
هارفارد
Rahpeymaii, F. and Rostami, M. (2023) 'Solving Unconstrained Optimization Problems by a New Conjugate Gradient Method with Sufficient Descent Property', Sultan Qaboos University Journal for Science, 27(2), pp. 90-99. doi:10.53539/squjs.vol27iss2pp90-99.
فانكوفر
Rahpeymaii F, Rostami M. Solving Unconstrained Optimization Problems by a New Conjugate Gradient Method with Sufficient Descent Property. Sultan Qaboos University Journal for Science. 2023;27(2):90-99. doi:10.53539/squjs.vol27iss2pp90-99
IEEE
F. Rahpeymaii, and M. Rostami, "Solving Unconstrained Optimization Problems by a New Conjugate Gradient Method with Sufficient Descent Property," Sultan Qaboos University Journal for Science, vol. 27, no. 2, pp. 90-99, 2023, doi: 10.53539/squjs.vol27iss2pp90-99.