A non-monotone self-adaptive trust region method with line search for unconstrained optimization
Journal Title: Scholars Bulletin - Year 2015, Vol 1, Issue 5
Abstract
Abstract: In this paper, we propose a new non-monotone self-adaptive trust region method with line search for solving unconstrained optimization problem. Different from the usual trust region methods, our algorithm does not only use a non-monotone technique, but also use a new rule to update the trust region radius. We prove the global convergence of the new algorithm under some reasonable assumptions. Keywords: non-monotone strategy; self-adaptive trust region method; unconstrained optimization; line search; global convergence.
Authors and Affiliations
Liran Yang, Qinghua Zhou
On The Negative Pell Equation y2=60x2-15
Abstract: The binary quadratic equation represented by the negative pellian is analyzed for its distinct integer solutions. A few interesting relations among the solutions are also given. Further, employing the solutio...
Contribution of Other Parameters to Malignancy Risk Index for Differentiation of Benign or Malignity in Adnexal Masses
Abstract:Ovarian cancer is one of the most important causes of pelvic masses and is the fifth leading cause of cancer related mortality. As in all cancers, method of early diagnosis for ovarian cancer should be easily ap...
Gender Gap in the Heart of Wage Earning Differentials
Abstract:The notion of gender inequality has been a long lasting phenomenon and have been empirically investigated in so many economies by researchers like Blau& Kahn, Jones & Makepeace, etc. in the past. This work sets...
Role of Cilnidipine in the Management of Essential Hypertension
Abstract: Large numbers of drugs are used in the treatment of hypertension and Calcium Channel Blockers are an important group among them. Cilnidipine is a new calcium channel blocking drug distinguished from other L-typ...
Assessment of Serum Thyroid profile Concentration among Sudanese Marijuana abuse People
Abstract: We describe the case of a patient with Neurofibromatosis type 1 (NF1) and Secondary Hypertrophic Osteoarthropathy. On this association so far, hypertrophic osteoarthropathy seems to be related to the vascular i...