BAND MATRICES WITH TOEPLITZ INVERSES

被引：12

作者：

GREVILLE, TNE ^{[1
]}

TRENCH, WF ^{[1
]}

机构：

[1] DREXEL UNIV,DEPT MATH,PHILADELPHIA,PA 19104

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1979年 / 27卷 / OCT期

关键词：

D O I：

10.1016/0024-3795(79)90042-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that a square band matrix H=(hij) with hij=0 for j- i>r and i-j>s, where r+s is less than the order of the matrix, has a Toeplitz inverse if and only if it has a special structure characterized by two polynomials of degrees r and s, respectively. © 1979.

引用

页码：199 / 209

页数：11

共 7 条

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[2] GREVILLE TNE, 1977, MRC1786 U WISC MATH
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[4] THRALL RM, 1957, VECTOR SPACES MATRIC
[5] AN ALGORITHM FOR THE INVERSION OF FINITE TOEPLITZ MATRICES
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[J]. JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1964, 12 (03): : 515 - 522
[6] WEIGHTING COEFFICIENTS FOR PREDICTION OF STATIONARY TIME SERIES FROM FINITE PAST
TRENCH, WF
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1967, 15 (06) : 1502 - &
[7] THE AUTOCORRELATION FUNCTION AND THE SPECTRAL DENSITY FUNCTION
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[J]. BIOMETRIKA, 1955, 42 (1-2) : 151 - 159

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