A class of preconditioned iterative methods, i.e., preconditioned generalized accelerated overrelaxation （GAOR） methods, is proposed to solve linear systems based on a class of weighted linear least squares problems...A class of preconditioned iterative methods, i.e., preconditioned generalized accelerated overrelaxation （GAOR） methods, is proposed to solve linear systems based on a class of weighted linear least squares problems. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned iterative methods is better than that of the original methods. Furthermore, the effectiveness of the proposed methods is shown in the numerical experiment.展开更多
Based on the systematic theory and the system analytic method, this thesis expounds manifestly the evaluation target system and comprehensive evaluation method about the science and technology development of provinces...Based on the systematic theory and the system analytic method, this thesis expounds manifestly the evaluation target system and comprehensive evaluation method about the science and technology development of provinces (cities and districts). By putting it into practice of provinces (cities and districts) science and technology development, this set of target system and method may fully reflect the impact on the social development. The acceleration of transferring the extensive economy to the intensive one in province (cities and districts) and the relation of coordinated growth of science and technology, economy, society are of momentous current significance.展开更多
基金supported by the National Natural Science Foundation of China (No. 11071033)the Fundamental Research Funds for the Central Universities (No. 090405013)
文摘A class of preconditioned iterative methods, i.e., preconditioned generalized accelerated overrelaxation （GAOR） methods, is proposed to solve linear systems based on a class of weighted linear least squares problems. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned iterative methods is better than that of the original methods. Furthermore, the effectiveness of the proposed methods is shown in the numerical experiment.
文摘Based on the systematic theory and the system analytic method, this thesis expounds manifestly the evaluation target system and comprehensive evaluation method about the science and technology development of provinces (cities and districts). By putting it into practice of provinces (cities and districts) science and technology development, this set of target system and method may fully reflect the impact on the social development. The acceleration of transferring the extensive economy to the intensive one in province (cities and districts) and the relation of coordinated growth of science and technology, economy, society are of momentous current significance.
