A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems

DOI10.1016/j.camwa.2017.10.009zbMath1409.65022OpenAlexW2767362894MaRDI QIDQ1732364

Zheng-Jian Bai, Zhi-Gang Jia, Ru-Ru Ma

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.10.009

zbMATH Keywords

structure-preserving algorithmJacobi rotationquaternion Hermitian eigenvalue problemreal counterpart

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (11)

Randomized quaternion QLP decomposition for low-rank approximation ⋮ A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications ⋮ A structure-preserving one-sided Jacobi method for computing the SVD of a quaternion matrix ⋮ On the power method for quaternion right eigenvalue problem ⋮ An algorithm based on QSVD for the quaternion equality constrained least squares problem ⋮ Inequalities for generalized eigenvalues of quaternion matrices ⋮ A complex structure-preserving algorithm for split quaternion matrix \textit{LDU} decomposition In split quaternion mechanics ⋮ Arnoldi method for large quaternion right eigenvalue problem ⋮ The implicitly restarted multi-symplectic block-Lanczos method for large-scale Hermitian quaternion matrix eigenvalue problem and applications ⋮ A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications ⋮ A real structure-preserving algorithm based on the quaternion QR decomposition for the quaternion equality constrained least squares problem

Cites Work

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• On One-Sided Jacobi Methods for Parallel Computation
• Jacobi’s Method is More Accurate than QR
• Accurate Eigensystem Computations by Jacobi Methods
• Quaternions and matrices of quaternions

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