EXPLICIT AND ASYMPTOTIC FORMULAS FOR LDM(T) FACTORIZATION OF BANDED TOEPLITZ MATRICES

被引：5

作者：

HAFNER, JL

机构：

[1] IBM Research Division, Almaden Research Center, San Jose, California, 95120-6099

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 222卷

关键词：

D O I：

10.1016/0024-3795(95)94777-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the LDM(t) factorization of banded Toeplitz matrices. We show that, under fairly general conditions, the L, M, and D factors exhibit exponential convergence along diagonals. We also give explicit formulas for the limiting values. Our method of proof involves a generalization to matrices of the theory of continued fractions of quadratic irrationals.

引用

收藏

页码：97 / 126

页数：30

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