非奇异三对角矩阵的显式逆(英文)

Explicit Inverses of Nonsingular Tridiagonal Matrices

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 。

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.