Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices .1. Transformations

被引：30

作者：

Heinig, G ^{[1
]}

Bojanczyk, A ^{[1
]}

机构：

[1] CORNELL UNIV,SCH ELECT ENGN,ITHACA,NY 14853

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 254卷

关键词：

D O I：

10.1016/S0024-3795(96)00527-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Transformations of the form A --> C(1)(T)AG(2) are investigated that transform Toeplitz and Toeplitz-plus-Hankel matrices into generalized Cauchy matrices. C-1 and C-2, are matrices related to the discrete Fourier transformation or to various real trigonometric transformations. Combining these results with pivoting techniques, in paper II algorithms for Toeplitz and Toeplitz-plus-Hankel systems will be presented that are more stable than classical algorithms. (C) Elsevier Science Inc., 1997.

引用

页码：193 / 226

页数：34

共 28 条

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