一类有理时变线性系统的齐次扩容时变精细算法  

Homogeneous Dilatancy Precision Algorithm for a Kind of Rational Variable Coefficient Linear System

作　　者：罗顺[1] 周钢[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《东华大学学报（自然科学版）》2007年第5期584-589,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：就一类特殊的非周期有理时变线性系统,突破这类问题常用的"区间精细算法",设计出一种"一步计算,终生使用"型齐次扩容时变精细算法(HHPD-P).这一算法不仅避免了HHPD-F算法中的矩阵求逆,计算量小,还易于推广、实现.两个典型算例表明,该算法的数值结果令人满意.For a kind of non-periodic rational variable coefficient linear system, a new ＂one step computation and lifetime used＂ precision algorithm HHPD-P has been devised, which breaks through the existing ＂interval precision algorithm＂. The new algorithm needs not to compute matrix inverse as in HHPD-F and has less computational complexity. Furthermore, it can be easily extended and realized. Two numerical examples indicate the new algorithm＇s computation result is satisfied.

关 键 词：齐次扩容 时变线性系统 精细算法 

分 类 号：O214.4[理学—概率论与数理统计] O342[理学—数学]