半定奇异系统的降阶精细积分算法  

A Reduced-Order High Precise Direct Integration Algorithm for Semidefinitely Singular System

作　　者：宋效林[1] 周钢[1] 刘晓梅[2] 

机构地区：[1]上海交通大学数学系,上海200240 [2]上海交通大学机械与动力工程学院,上海200240

出　　处：《东华大学学报（自然科学版）》2008年第6期761-765,770,共6页Journal of Donghua University(Natural Science)

基　　金：国家自然科学基金项目(50376039);教育部科学技术研究重点项目(03068)

摘　　要：大量动力学问题的数学模型都可以归结为半定奇异系统.针对这一系统,根据结构力学的观点,处理冗余项,建立了降阶直接精细算法,并进行相应的理论分析.数值算例表明,此算法十分有效、可行;计算量也比直接精细算法大大减少;数值结果令人满意.A large number of the mathematical models singular system. In light of the system and according of dynamics can be summed up as semidefinitely to the views of structural mechanics, redundant items were handled, reduced-order high precise direct integration algorithm and corresponding theoretical analysis were established. The numerical examples show that the algorithm is effective and feasible. Much more computation can be reduced than direct precise algorithm and the numerical result are satisfactory.

关 键 词：半正定矩阵 精细算法(HPD) 齐次扩容 

分 类 号：O241[理学—计算数学]