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In this paper, we combine the adaptive conic trust region method with the quasi-Newton line search method, and then propose a new modified adaptive conic trust region algorithm which solves unconstrained optimization problems. The new algorithm not only retains the desirable global convergence of trust region methods and the local super-linear convergence of quasi-Newton methods, but also overcomes...
A modified DY conjugate gradient algorithm with sufficient descent is proposed in this paper. Furthermore under the Wolfe line search conditions, we prove that the new algorithm can support the global convergence. The initial numerical experiments show that the new algorithm is efficient.
Socialization and virtualization of network, which provides favorable context for distance teaching and research, promotes the professional development of teachers. However, due to the lack of systematic and successful pattern to extend, the utilization rate of resources in distance education is very low, and the advantages of context for network resources in teaching and research are not fully played...
Developing high quality education has been as a basic state policy, and teacher education is also been placed on the key and prior position to carry out in many countries. Conducting effective teacher education becomes a main way to improve the level of teachers' specialization and classroom teaching quality. The development of modern information technology perfects the construction of web-based teacher...
A modification of the Neculai Andrei conjugate gradient algorithm is proposed. Using exact line search, the algorithm reduces to the original version of the Dai and Yuan computational scheme. For inexact line search the algorithm satisfies both sufficient descent and conjugate conditions. A global convergence result is proved when the Wolfe line search conditions are used. Computational results show...
Conjugate gradient method is one of the most useful methods for solving unconstrained optimization problem. In this paper, we propose a hybrid conjugate gradient method for unconstrained optimization based on the Hestenes-Stiefel and Dai-Yuan conjugate gradient Algorithms. By searching a particular direction, the new algorithm satisfies the descent condition. Furthermore under the Wolfe line search...
In this work we present and analyze a new algorithm and its implementation for the nondifferentiable optimization. We use the method of scattering test points to find the optimal solution of the objective function. Based on the uniform design and the adaptive function, the new algorithm scatters points in the search domain with the adaptability. We proved the global convergence of this algorithm under...
Conjugate gradient method is one of the most useful methods for solving unconstrained optimization problem. In this paper, we propose a hybrid conjugate gradient method for unconstrained optimization based on the Polak-Ribiere-Polyak and Dai-Yuan conjugate gradient Algorithms. By searching a particular direction, the new algorithm satisfies the sufficient descent condition naturally and satisfies...
In this paper, we propose an algorithm for unconstrained optimization that employs both adaptive trust region techniques with line searchs. Unlike traditional adaptive trust region methods, our algorithm does not resolve the sub problem if the trial step isn’t accepted, but instead performs the Wolfe line search at each iteration. Under mild conditions, the global convergence is proved and the super...
Cultivating student-teacher's teaching ability has aroused more and more study, and in order to integrate theory with practices student-teacher needs classroom teaching experience. The Characteristics and advantages of streaming media and network can fulfill the needs of student-teacher. This paper provides some strategies and recommendations by using streaming media and internet to cultivating student-teacher's...
Conjugate gradient methods are important for large-scale unconstrained optimization. In this paper, we propose anew formula ??k for unconstrained optimization, which is the hybrid from HS method, LS method and CD method. From the construction of the new formula ??k, we use a direction which is different from traditional dk. The direction satisfies descent conditions naturally. And dkTgk=-??gk??2...
Situated in the network-based learning environment, the non-rationality of the learners in the virtual learning community makes it a demanding for the establishment of the incentive mechanism to ensure the success of the learning community. First of all, this paper gives an outline to the prospect theory and the necessity e of the establishment of incentive mechanism in virtual learning environment...
The group learning is a new way of learning which the new curriculum promote for the purpose of cultivating students' sense of teamwork. At present, group learning has been more and more popular among teachers in its' specific form. However, it is not difficult to find that the actuality of group learning were not satisfactory. In this paper, I will analyze the reasons for the status from the point...
Distance-learning network has now become an important way for majority of teachers to teach graduate students, and the study of the network has also been concerned about the learning performance not the learning process. This paper, the authors choose the network course "network application in education" as an actual case, by analyzing the data of the status of network, they provide a number...
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