求约旦(Jordan)标准形和演化矩阵及其逆矩阵的新方法  

The New Method of Make Jordan Standard Form and Evolution Motrices and Inver Matrices

作　　者：范尚志[1] 

机构地区：[1]北京联合大学机械工程学院,北京100020

出　　处：《北京建筑工程学院学报》1995年第3期113-124,共12页Journal of Beijing Institute of Civil Engineering and Architecture

摘　　要：理论根据的出发点与一般书上有所不同,证明也比较简明。求约旦标准形的新方法与一般书上的方法完全不同。新方法是对λI—A作常数矩阵初等变换化为λI—J,由此得到矩阵A的约旦标准形J,同时又能求出演化矩阵及其逆矩阵,一举三得。有的书上说,求演化矩阵牵涉到比较复杂的计算,而新方法牵涉不到任何复杂的计算。The point of view on the theornitical basis is very different from books, it pzoof is simple, But the new method of make Jondan standard form is very differant from some books, the new method is treat λI- A to make constant matrices elementary transfomation to form λI-J , from this we obtain Jordan standard form J of matrices A. At same time we obtain evolution matrices, we get three from one.Some books said to treat evolution matrices we must touch some compticated accunt the new method do not complicated accunt.

关 键 词：约旦标准形 演化矩阵 逆矩阵 初等交换 

分 类 号：O241.6[理学—计算数学]