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Bounds for Eigenvalues of Matrix Polynomials Over Quaternion Division Algebra

  • Published:2016-02-08 Issue:4 Volume:26 Page:1095-1125
  • ISSN:0188-7009
  • Container-title:Advances in Applied Clifford Algebras
  • language:en
  • Short-container-title:Adv. Appl. Clifford Algebras

Author:

Ahmad Sk. Safique,Ali Istkhar

Funder

Council of Scientific and Industrial Research (IN)

Indian Institute of Technology Indore (IN)

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference31 articles.

1. Adler S.L.: Quaternionic quantum mechanics and quantum fields. Oxford University Press, New York (1995)

2. Ahmad, S.S., Ali, I.: Localization theorems of matrices and bounds for the zeros of polynomials over quaternion division algebra (2016) (preprint)

3. Baker A.: Right eigenvalues for quaternionic matrices: a topological approach. Linear Algebra Appl. 286, 303–309 (1999)

4. Bini D.A., Noferini V., Sharify M.: Locating the eigenvalues of matrix polynomials. SIAM J. Matrix Anal. Appl. No. 4(34), 1708–1727 (2013)

5. Brenner J.L.: Matrices of quaternions. Pacific J. Math. 1, 329–335 (1951)

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1. Bounds for the zeros of unilateral octonionic polynomials;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2021-11-01

2. Perturbation analysis of matrices over a quaternion division algebra;ETNA - Electronic Transactions on Numerical Analysis;2021

3. Bounds for the Right Spectral Radius of Quaternionic Matrices;Ukrainian Mathematical Journal;2020-11

4. Bounds for the right spectral radius of quaternionicmatrices;Ukrains’kyi Matematychnyi Zhurnal;2020-05-25

5. Location of Right Eigenvalues of Quaternionic Matrix Polynomials;Advances in Applied Clifford Algebras;2019-08-09
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