Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices

• Autorzy: Jesús Gutiérrez-Gutiérrez , Marta Zárraga-Rodríguez
• Języki publikacji: EN

Abstrakty

EN

In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.

Słowa kluczowe

EN

Anti-tridiagonal matrices; Hankel matrices; orthogonal diagonalization; skew-persymmetric matrices

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2016
• Tom: 4
• Numer: 1
• Strony: 73-79

Daty

wydano

2016-01-01

otrzymano

2015-05-13

zaakceptowano

2015-11-12

online

2015-12-16

Twórcy

autor

Jesús Gutiérrez-Gutiérrez

• Ceit, Manuel Lardizábal 15, 20018 San Sebastián, Spain and Tecnun (University of Navarra), Manuel Lardizábal 13, 20018 San Sebastián, Spain,

autor

Marta Zárraga-Rodríguez

• ISSA (University of Navarra), Ediffcio Amigos, Campus Universitario, 31009 Pamplona, Spain and Tecnun (University of Navarra), Manuel Lardizábal 13, 20018 San Sebastián, Spain,

Bibliografia

• [1] J. Gutiérrez-Gutiérrez, Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals, Applied Mathematics and Computation 206 (2008) 919-924.[WoS]
• [2] J. Gutiérrez-Gutiérrez, Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals, Applied Mathematics and Computation 234 (2014) 333-338.[WoS]
• [3] M. Akbulak, C. M. da Fonseca, F. Yılmaz, The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices, Applied Mathematics and Computation 225 (2013) 352-357.[WoS]
• [4] J. Rimas, On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1, 1, 1, ..., 1; −1, −1, −1, ..., −1 in neighbouring diagonals, Applied Mathematics and Computation 204 (2008) 754-763.[WoS]
• [5] J. Rimas, On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1, 1, 1, ..., 1; −1, −1, −1, ..., −1 in neighbouring diagonals, Applied Mathematics and Computation 210 (2009) 64-71.[WoS]
• [6] C. D. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM, 2000.[WoS]
• [7] P. Lancaster, M. Tismenetsky, The Theory of Matrices, Academic Press, 1985.
• [8] J. Gutiérrez-Gutiérrez, Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals, Applied Mathematics and Computation 217 (2011) 6125-6132.[WoS]
• [9] J. Lita da Silva, Integer powers of anti-tridiagonal matrices of the form antitridiagn (a, c, −a), a, c ∈ ℂ, International Journal of Computer Mathematics (2015) DOI: 10.1080/00207160.2015.1073721.[Crossref]
• [10] J. Gutiérrez-Gutiérrez, Powers of tridiagonal matrices with constant diagonals, Applied Mathematics and Computation 206 (2008) 885-891.[WoS]
• [11] T. M. Apostol, Calculus, Vol. 1, John Wiley & Sons, 1967.

Identyfikatory

DOI

10.1515/spma-2016-0008