Location of right eigenvalues of quaternionic matrix polynomials
From MaRDI portal
Publication:2274763
DOI10.1007/s00006-019-0998-4zbMath1423.15009OpenAlexW2966722639MaRDI QIDQ2274763
Publication date: 1 October 2019
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-019-0998-4
left and right eigenvaluesquaternionic polynomialquaternionic block companion matrixquaternionic matrix polynomial
Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Skew fields, division rings (12E15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of invariant subspaces of quaternion matrices
- Geršgorin type theorems for quaternionic matrices
- Canonical forms for mixed symmetric-skewsymmetric quaternion matrix pencils
- Pairs of Hermitian and skew-Hermitian quaternionic matrices: canonical forms and their applications
- Polynomials and Vandermonde matrices over the field of quaternions
- Bounds for eigenvalues of matrix polynomials
- Norm inequalities of positive operator matrices
- Bounds for eigenvalues of matrix polynomials over quaternion division algebra
- On the determinant of quaternionic polynomial matrices and its application to system stability
- Quaternions, Spinors, and Surfaces
- Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra
- Tropical Roots as Approximations to Eigenvalues of Matrix Polynomials
- Locating the Eigenvalues of Matrix Polynomials
- Computing the zeros of quaternion polynomials.
- Quaternions and matrices of quaternions
This page was built for publication: Location of right eigenvalues of quaternionic matrix polynomials