Eigenvalues of tridiagonal pseudo-Toeplitz matrices

被引：103

作者：

Kulkarni, D ^{[1
]}

Schmidt, D ^{[1
]}

Tsui, SK ^{[1
]}

机构：

[1] Oakland Univ, Dept Math Sci, Rochester, MI 48309 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 297卷 / 1-3期

关键词：

eigenvalues; Toeplitz matrices; tridiagonal matrices; Chebyshev polynomials; graphical method for location of roots;

D O I：

10.1016/S0024-3795(99)00114-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we determine the eigenvalues of sequences of tridiagonal matrices that contain a Toeplitz matrix in the upper left block. (C) 1999 Published by Elsevier Science Inc. All rights reserved.

引用

页码：63 / 80

页数：18

共 13 条

[1]

Atkinson KE, 1978, An introduction to numerical analysis

[2] THE ASYMPTOTIC SPECTRA OF BANDED TOEPLITZ AND QUASI-TOEPLITZ MATRICES [J].

BEAM, RM ;

WARMING, RF .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (04) :971-1006

[3] STEPWISE STABILITY FOR THE HEAT-EQUATION WITH A NONLOCAL CONSTRAINT [J].

CAHLON, B ;

KULKARNI, DM ;

SHI, P .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (02) :571-593

[4]

Franklin J.N., 1968, Matrix Theory

[5]

Golub G.H., 1996, Matrix Computations, Vthird

[6]

HOCHSTRASSER UW, 1966, HDB MATH FUNCTIONS F, P771

[7]

Horn R., 1985, Matrix analysis, DOI 10.1017/CBO9780511810817

[8]

KORSAK A, 1960, CANAD MATH B, V3, P243

[9]

RIVLIN TJ, 1974, CHEBYCHEV POLYNOMIAL

[10]

SCHOCHETMAN IE, 1997, IN PRESS MATH PROGRA

← 1 2 →