On the location of eigenvalues of quaternion matrix polynomials

Q: What type of study is this?

This is a Quantitative Study study.

Ovaisa Jan; Idrees Qasim

doi:10.2298/aadm240801018j

January 1, 2025Applicable Analysis and Discrete MathematicsOpen Access

On the location of eigenvalues of quaternion matrix polynomials

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Key Points

The findings present new bounds for the absolute values of right eigenvalues, enhancing understanding of quaternion matrices.
Important insights reveal the relationship between eigenvalues and subordinate norms, guiding potential applications.
The research proposes extended techniques to analyze eigenvalues, focusing on quaternionic polynomial structures.
This exploration highlights the significance of coefficient matrices in determining eigenvalue behavior and stability.

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Implication

This analysis extends bounds on eigenvalues from quaternionic matrix polynomials, suggesting implications for norm evaluations.

Abstract

In this paper we extend some results concerning (upper and lower) bounds for the absolute values of the right eigenvalues of quaternionic matrix polynomials based on the subordinate norm of their coefficient matrices.

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Jan et al. (2025) studied this question.

synapsesocial.com/papers/68d6cd63b1249cec298b3632 https://doi.org/10.2298/aadm240801018j

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On the location of eigenvalues of quaternion matrix polynomials

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

On the location of eigenvalues of quaternion matrix polynomials

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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