Patterns with several multiple eigenvalues-Reference-Cited by-同舟云学术

Patterns with several multiple eigenvalues

Published:2014-01-01 Issue:1 Volume:2 Page:
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Dorsey J.¹,Johnson C.R.²,Wei Z.³

Affiliation:

1. Department of Mathematics, Case Western Reserve University, Ohio, USA

2. Department of Mathematics, College of William and Mary, Virginia, USA

3. Department of Mathematics, Imperial College London, UK

Abstract

Abstract Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further. This work generalizes earlier work on response matrices from circularlysymmetric models.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.2478/spma-2014-0020/pdf

Reference8 articles.

1. [1] M. Farber, C.R. Johnson, Z. Wei, Eigenvalue pairing in the response matrix for a class of network models with circular symmetry,The Electronic Journal of Combinatorics, 20(3) (2013) paper 17

2. [2] C.R. Johnson and A. Leal-Duarte, The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree. Linear and Multilinear Algebra 46:139-144 (1999)http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000244831400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3

3. [3] C.R. Johnson and A. Leal-Duarte, On the possible multiplicities of the eigenvalues of an Hermitian matrix whose graph is agiven tree. Linear Algebra and Its Applications 348:7-21 (2002)http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000271346400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3

4. [4] C.R. Johnson, A. Leal-Duarte and C.M. Saiago, The parter-Wiener theorem: refinement and generalization. SIAM Journal onMatrix Analysis and Applications 25(2):352-361 (2003)10.1137/S0895479801393320

5. [5] C.R. Johnson, A. Leal-Duarte and C.M. Saiago, Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matriceswhose graph is a tree: the case of generalized stars and double generalized stars. Linear Algebra and Its Applications373:311-330 (2003)http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000334146700015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3

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