广义Vandermonde矩阵及其LU分解  

Generalized Vandermonde matrices and their LU factorization

作　　者：杨胜良[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2004年第1期116-119,共4页Journal of Lanzhou University of Technology

摘　　要：利用对称函数引入了两种广义Vandermonde矩阵,讨论了Vandermonde矩阵与广义Vandermonde矩阵之间的关系,并得到了广义Vandermonde矩阵的LU分解.Using elementary symmetric function and complete symmetric function,two kinds generalized Vandermonde matrices are introduced.The relationship between Vandermonde matrices and the generalized Vandermonde matrices is discussed, and the LU factorization of the generalized Vandermonde matrices is obtained.

关 键 词：广义VANDERMONDE矩阵 LU分解 初等对称函数 完全对称函数 

分 类 号：O151.21[理学—数学]