Advanced Materials Research Vols. 989-994

Abstract: In this paper, some comparison results between Jacobi and USSOR iteration for solving nonsingular linear systems are presented. It is showed that spectral radius of Jacobi iteration matrix B is less than that of USSOR iterative matrix under some conditions. A numerical example is also given to illustrate our results.

Abstract: In this paper, in order to improve the convergence rates of iterative method solving the linear system, the improving modified Gauss-Seidel (IMGS) iterative method with a preconditioner is proposed. Some convergence and comparison results are given when is a symmetric definite matrix are provided.

Abstract: The cost of all existing algorithm for evaluating th order determinants is at most . This paper presents a new efficient computational algorithm for solving the determinants of the heptadiagonal matrices with cost only. It is a generalization of the DETGTRI algorithm. The implementation of this algorithm using computer algebra system is straightforward. Numerical examples are given to demonstrate the result.

Abstract: On the basis of the conjugate gradient method CD, the artile builds a new two-parameter P-NCD projected conjugate gradient method, the article gives two-parameter P-NCD Conjugate Gradient Method drop projection and on the strong Wolfe line search in the principles of the convergence criteria, the new algorithm is applied to estimate the equation with linear constraints in the model instantiated test ,the results shows good results.

Abstract: The paper introduces escape-time algorithm applied to construct G-J set firstly, and two methods are presented for generating a great diversity of generalized J sets in which the point fall in low-cycle attract collections in the domain. One of the coloring methods is according to attract time, another is by recording the domain of the orbits. We used frieze group map to validate effectiveness for algorithm.

Abstract: It is an important research issue to ensure the computation correctness for parallel application and enhance the using rate of dynamic computing resource in distributed computing system. Based on the previous high performance distributing computing system, a fault-tolerant and task scheduler was developed, which combined the breathe mechanism, fault-discover mechanism and subtask reschedule mechanism. Experiments show that the fault-tolerant and task-scheduler has good performance and ensures the computation correctness even if when some computing resources fail.

Abstract: Based on predictions of the mine inflow of water and the complexity of influential factors, a method of BP neural network is put forward for mine inrush water prediction in this paper. We chose proper impact factors and establish non-linear artificial neural network prediction model after analyzed the impact factors of mine water inflow in Shandong Heiwang iron, and also made one prediction with normal mine water inflow during the iron mining operation. It turned out that the result can match with the actual prediction data, which make it possible to predict the mine water inflow with the prediction of Artificial Neural Network.

Abstract: In this paper, the problem of selecting football coach is analyzed and studied. Concretely, a new index system of evaluating the football coach which includes coaching ability, team scores and personal achievement is designed, and then a comprehensive evaluation model based on fuzzy mathematics is presented to rank all candidates and to select the optimal football coach. Therefore, a novel and effective way is obtained to solve the problem of evaluating the comprehensive level of football coaches under the uncertain information.

Abstract: Using the Laplace transform and freezing time variable, the problem in the time domain into the frequency domain to solve the problem. The establishment of a crack unit model in the frequency domain, and the boundary integral equation and discrete form containing the crack unit has been deduced. While using Durbin algorithm suitable for transient dynamic response of the inverse Laplace transform, the amount of stress intensity factor of a set of transformation parameters corresponding to the frequency domain into a time domain to obtain the dynamic stress intensity factor of time curve, and calculate the stress intensity factor compared to the boundary finite element method has a Laplace transform high precision, easy to save CPU time and data preparation features, we recommend using this method to calculate the dynamic stress intensity factor.

Abstract: We consider the quasilinear elliptic equation in a finite ball in , where Motivated by the thin film equations, a solution is said to be a point rupture solution if for some , and for any . Our main result is a sufficient condition on for the existence of radial point rupture solutions.