Integer powers of anti-tridiagonal matrices of the form antitridiag n (a, 0, b), a, b ∈ ℝ

João Lita Da Silva

doi:10.1016/j.camwa.2015.03.016

Integer powers of anti-tridiagonal matrices of the form antitridiag _n (a, 0, b), a, b ∈ ℝ

João Lita Da Silva

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper we use Chebyshev polynomials to derive a general expression for integer powers of real anti-tridiagonal matrices with constant anti-diagonals and null northeast-to-southwest diagonal.

Original language	English
Pages (from-to)	1313-1328
Number of pages	16
Journal	Computers and Mathematics with Applications
Volume	69
Issue number	11
DOIs	https://doi.org/10.1016/j.camwa.2015.03.016
Publication status	Published - 1 Jun 2015

Keywords

Anti-tridiagonal matrices
Chebyshev polynomials
Hankel matrices

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10.1016/j.camwa.2015.03.016Licence: CC BY-NC-ND

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title = "Integer powers of anti-tridiagonal matrices of the form antitridiag n (a, 0, b), a, b ∈ ℝ",

abstract = "In this paper we use Chebyshev polynomials to derive a general expression for integer powers of real anti-tridiagonal matrices with constant anti-diagonals and null northeast-to-southwest diagonal.",

keywords = "Anti-tridiagonal matrices, Chebyshev polynomials, Hankel matrices",

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AB - In this paper we use Chebyshev polynomials to derive a general expression for integer powers of real anti-tridiagonal matrices with constant anti-diagonals and null northeast-to-southwest diagonal.

KW - Anti-tridiagonal matrices

KW - Chebyshev polynomials

KW - Hankel matrices

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EP - 1328

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 11

ER -

Integer powers of anti-tridiagonal matrices of the form antitridiag _n (a, 0, b), a, b ∈ ℝ

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Keywords

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