On the location of eigenvalues of quaternion matrix polynomials

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.