摘要
讨论了非对称块三对角矩阵的求逆.首先由块三对角矩阵的块LU和UL分解给出了两个绞形块分解,基于这些块分解及块三对角矩阵逆矩阵的特殊结构,建立了一个块三对角矩阵求逆的算法.该算法比已有的块三对角矩阵求逆算法的计算复杂度低.
The inverse of a nonsymmetrical block tridiagonal matrix is investigated.Two twisted decompositions of a block tridiaognal matrix are firstly given according to LU and UL decompositions.Based on these block decompositions and the special structure of the inverse matrix,an algorithm for inverting a block tridiaognal matrix is established.The computing complexity of this algorithm is lower than that of some existed algorithm.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2007年第S1期340-342,共3页
Journal of University of Electronic Science and Technology of China
关键词
算法
块三对角矩阵
逆矩阵
绞形块分解
algorithm
block tridiaognal matrices
the inverse matrices
twisted decompositions of a block
