Patterns with several multiple eigenvalues

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 matr...

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Bibliographic Details
Main Authors: Dorsey J., Johnson C.R., Wei Z.
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.2478/spma-2014-0020
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spelling doaj-1ade41b525424e63a2da856409179a442021-10-02T17:49:17ZengDe GruyterSpecial Matrices2300-74512014-02-012110.2478/spma-2014-0020spma-2014-0020Patterns with several multiple eigenvaluesDorsey J.0Johnson C.R.1Wei Z.2Department of Mathematics, Case Western Reserve University, Ohio, USADepartment of Mathematics, College of William and Mary, Virginia, USADepartment of Mathematics, Imperial College London, UKIdentified 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.https://doi.org/10.2478/spma-2014-0020multiple eigenvalues patterned matrix special periodic diagonal matrices (pdm) symmetric toeplitz matrices15a18 15b05 15b57 15b99
collection DOAJ
language English
format Article
sources DOAJ
author Dorsey J.
Johnson C.R.
Wei Z.
spellingShingle Dorsey J.
Johnson C.R.
Wei Z.
Patterns with several multiple eigenvalues
Special Matrices
multiple eigenvalues
patterned matrix
special periodic diagonal matrices (pdm)
symmetric toeplitz matrices
15a18
15b05
15b57
15b99
author_facet Dorsey J.
Johnson C.R.
Wei Z.
author_sort Dorsey J.
title Patterns with several multiple eigenvalues
title_short Patterns with several multiple eigenvalues
title_full Patterns with several multiple eigenvalues
title_fullStr Patterns with several multiple eigenvalues
title_full_unstemmed Patterns with several multiple eigenvalues
title_sort patterns with several multiple eigenvalues
publisher De Gruyter
series Special Matrices
issn 2300-7451
publishDate 2014-02-01
description 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.
topic multiple eigenvalues
patterned matrix
special periodic diagonal matrices (pdm)
symmetric toeplitz matrices
15a18
15b05
15b57
15b99
url https://doi.org/10.2478/spma-2014-0020
work_keys_str_mv AT dorseyj patternswithseveralmultipleeigenvalues
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