On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices

We show that the characteristic polynomial of a symmetric pentadiagonal Toeplitz matrix is the product of two polynomials given explicitly in terms of the Chebyshev polynomials. Mathematics Subject Classification 15B05 * 65F40 * 33C45

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Bibliographic Details
Published inArabian Journal of Mathematics Vol. 7; no. 2; pp. 91 - 99
Main Author Elouafi, Mohamed
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018
Springer
Springer Nature B.V
Subjects
Chebyshev approximation
Determinants (Mathematics)
Differential equations
Mathematical analysis
Mathematical research
Mathematics
Mathematics and Statistics
Matrices (Mathematics)
Matrix methods
Polynomials
Signal processing
15B05
65F40
33C45
Online AccessGet full text
ISSN2193-5343
2193-5351
2193-5351
DOI10.1007/s40065-017-0194-0

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Summary:We show that the characteristic polynomial of a symmetric pentadiagonal Toeplitz matrix is the product of two polynomials given explicitly in terms of the Chebyshev polynomials. Mathematics Subject Classification 15B05 * 65F40 * 33C45
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ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-017-0194-0