On condition numbers of quaternion matrix inverse and quaternion linear systems with multiple right-hand sides
From MaRDI portal
Publication:6202063
DOI10.13001/ela.2023.7799OpenAlexW4387059765MaRDI QIDQ6202063
Fengxia Zhang, Shan Wang, Qiaohua Liu
Publication date: 21 February 2024
Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.13001/ela.2023.7799
multiple right-hand sidesstructured condition numbernormwise condition numbercomponentwise condition numbermixed condition numberquaternion linear systemquaternion matrix inverse
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fast structure-preserving method for computing the singular value decomposition of quaternion matrices
- Real structure-preserving algorithms of Householder based transformations for quaternion matrices
- A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory
- A flexible condition number for weighted linear least squares problem and its statistical estimation
- The Kronecker product and stochastic automata networks
- Structured mixed and componentwise condition numbers of some structured matrices
- A contribution to the theory of condition
- A new real structure-preserving quaternion QR algorithm
- A real structure-preserving method for the quaternion LU decomposition, revisited
- Notes on quaternionic group representations
- On the condition number of linear least squares problems in a weighted Frobenius norm
- A new structure-preserving method for quaternion Hermitian eigenvalue problems
- Lanczos method for large-scale quaternion singular value decomposition
- On perturbation bounds of Kronecker product linear systems and their level-2 condition numbers
- Mixed, Componentwise, and Structured Condition Numbers
- On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
- Level-2 condition numbers for least-squares solution of Kronecker product linear systems
- Quaternionic representations of magnetic groups
- Structured Perturbations Part I: Normwise Distances
- Structured Perturbations Part II: Componentwise Distances
- Accuracy and Stability of Numerical Algorithms
- Robust quaternion matrix completion with applications to image inpainting
- On condition numbers for Moore–Penrose inverse and linear least squares problem involving Kronecker products
- On Condition Numbers for the Weighted Moore-Penrose Inverse and the Weighted Least Squares Problem involving Kronecker Products
- Condition numbers for linear systems and Kronecker product linear systems with multiple right-hand sides
- A Theory of Condition
- Quaternions and matrices of quaternions
- Accuracy and stability of quaternion Gaussian elimination
- Color Image Restoration by Saturation-Value Total Variation