On the location of the eigenvalues of Jacobi matrices

被引：22

作者：

da Fonseca, C. M. ^{[1
]}

机构：

[1] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal

来源：

APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 11期

关键词：

Jacobi matrix; eigenvalues; orthogonal polynomials;

D O I：

10.1016/j.aml.2005.11.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using some well known concepts on orthogonal polynomials, some recent results on the location of eigenvalues of tridiagonal matrices of very large order are extended. A significant number of important papers are unified. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1168 / 1174

页数：7

共 9 条

[1] Interlacing properties of tridiagonal symmetric matrices with applications to parallel computing [J].

BarOn, I .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1996, 17 (03) :548-562

[2] ON SIEVED ORTHOGONAL POLYNOMIALS .10. GENERAL BLOCKS OF RECURRENCE RELATIONS [J].

CHARRIS, JA ;

ISMAIL, MEH ;

MONSALVE, S .

PACIFIC JOURNAL OF MATHEMATICS, 1994, 163 (02) :237-267

[3]

Chihara T, 1978, INTRO ORTHOGONAL POL

[4] Interlacing properties for Hermitian matrices whose graph is a given tree [J].

Da Fonseca, CM .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2005, 27 (01) :130-141

[5] Spectrally arbitrary patterns [J].

Drew, JH ;

Johnson, CR ;

Olesky, DD ;

van den Driessche, P .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 308 (1-3) :121-137

[6] Low rank perturbations and the spectrum of a tridiagonal sign pattern [J].

Elsner, L ;

Olesky, DD ;

van den Driessche, P .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 374 :219-230

[7]

HILL RO, 1992, SIAM J MATRIX ANAL A, V13, P239

[8] Eigenvalues of tridiagonal pseudo-Toeplitz matrices [J].

Kulkarni, D ;

Schmidt, D ;

Tsui, SK .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 297 (1-3) :63-80

[9] Upward extension of the Jacobi matrix for orthogonal polynomials [J].

Ronveaux, A ;

VanAssche, W .

JOURNAL OF APPROXIMATION THEORY, 1996, 86 (03) :335-357

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