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非奇异三对角矩阵的显式逆(英文)
Explicit Inverses of Nonsingular Tridiagonal Matrices
【摘要】 三对角矩阵的可逆性在应用线性代数的不同领域有着广泛的应用。本文给出一般非奇异的三对角矩阵的逆矩阵的求解公式。其结果极大的改进了与三对角矩阵的逆矩阵有关的几个著名的结果 ,并且三对角矩阵的逆矩阵也容易计算
【Abstract】 We give explicit formulas for caluctating the elements of the inverse of a general nonsingular tridiagonal matrix which improve some well-known results concerning the inverse of a nonsingular tridiagonal matrix, and the inverse of a nonsingular general tridiagonal matrix can be easily computed.
【关键词】 三对角矩阵;
LU分解;
UL分解;
矩阵的可逆性;
【Key words】 tridiagonal matrix; LU decomposition; UL decomposition; invertibility of matrices;
【Key words】 tridiagonal matrix; LU decomposition; UL decomposition; invertibility of matrices;
【基金】 ThisworkissupportedbyNationalNaturalKeyProductFoundationsofChina (1 0 2 31 0 6 0 )
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2004年01期
- 【分类号】O151.21
- 【被引频次】1
- 【下载频次】110