In this paper, we present a nonmonotone smoothing Newton algorithm for solving the circular cone programming(CCP) problem in which a linear function is minimized or maximized over the intersection of an affine space w...In this paper, we present a nonmonotone smoothing Newton algorithm for solving the circular cone programming(CCP) problem in which a linear function is minimized or maximized over the intersection of an affine space with the circular cone. Based on the relationship between the circular cone and the second-order cone(SOC), we reformulate the CCP problem as the second-order cone problem(SOCP). By extending the nonmonotone line search for unconstrained optimization to the CCP, a nonmonotone smoothing Newton method is proposed for solving the CCP. Under suitable assumptions, the proposed algorithm is shown to be globally and locally quadratically convergent. Some preliminary numerical results indicate the effectiveness of the proposed algorithm for solving the CCP.展开更多
随着巡天观测计划的进行,传统的数据库技术无法满足海量天文数据的存储以及检索性能的需求。针对海量天文数据存储以及锥形检索的高并发、高性能问题,采用数据库中间件技术,当海量数据到达传统数据库存储阈值时,能够通过中间件技术以分...随着巡天观测计划的进行,传统的数据库技术无法满足海量天文数据的存储以及检索性能的需求。针对海量天文数据存储以及锥形检索的高并发、高性能问题,采用数据库中间件技术,当海量数据到达传统数据库存储阈值时,能够通过中间件技术以分库分表的形式存储到数据库集群,充分整合关系型数据库和分布式技术的优点。利用MySQL数据库集成动态索引工具(Dynamic Index Facility,DIF)插件,在分布式数据库中建立伪球面索引,能够满足海量天文数据锥形索引的需求。展开更多
基金supported by the National Natural Science Foundation of China(11401126,71471140 and 11361018)Guangxi Natural Science Foundation(2016GXNSFBA380102 and 2014GXNSFFA118001)+2 种基金Guangxi Key Laboratory of Cryptography and Information Security(GCIS201618)Guangxi Key Laboratory of Automatic Detecting Technology and Instruments(YQ15112 and YQ16112)China
文摘In this paper, we present a nonmonotone smoothing Newton algorithm for solving the circular cone programming(CCP) problem in which a linear function is minimized or maximized over the intersection of an affine space with the circular cone. Based on the relationship between the circular cone and the second-order cone(SOC), we reformulate the CCP problem as the second-order cone problem(SOCP). By extending the nonmonotone line search for unconstrained optimization to the CCP, a nonmonotone smoothing Newton method is proposed for solving the CCP. Under suitable assumptions, the proposed algorithm is shown to be globally and locally quadratically convergent. Some preliminary numerical results indicate the effectiveness of the proposed algorithm for solving the CCP.
文摘随着巡天观测计划的进行,传统的数据库技术无法满足海量天文数据的存储以及检索性能的需求。针对海量天文数据存储以及锥形检索的高并发、高性能问题,采用数据库中间件技术,当海量数据到达传统数据库存储阈值时,能够通过中间件技术以分库分表的形式存储到数据库集群,充分整合关系型数据库和分布式技术的优点。利用MySQL数据库集成动态索引工具(Dynamic Index Facility,DIF)插件,在分布式数据库中建立伪球面索引,能够满足海量天文数据锥形索引的需求。
