Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C

DOI10.1080/03081087.2020.1752135zbMath1486.15022OpenAlexW3016739882MaRDI QIDQ5069200

Jianli Zhao, Yanzhen Zhang, Ying Li, Hong Zhao, Gang Wang

Publication date: 8 April 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1752135

zbMATH Keywords

real representationquaternion matrix equationleast-squares solutionbihermitianskew bihermitian

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Related Items (1)

Quaternion Two-Sided Matrix Equations with Specific Constraints

Cites Work

• Unnamed Item
• Hermitian tridiagonal solution with the least norm to quaternionic least squares problem
• Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications
• An iterative algorithm for least squares problem in quaternionic quantum theory
• The spectral theorem in quaternions
• The minimal norm least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\)
• Centrohermitian and skew-centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation \((AXB,DXE) = (C,F)\)
• The solution of a generalized Sylvester quaternion matrix equation and its application
• The least square solution with the least norm to a system of quaternion matrix equations
• Matrix LSQR algorithm for structured solutions to quaternionic least squares problem
• Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) with the least norm
• LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory
• Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations
• Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
• L-structured quaternion matrices and quaternion linear matrix equations
• Matrix iterative algorithms for least-squares problem in quaternionic quantum theory
• Least squares η-bi-Hermitian problems of the quaternion matrix equation (AXB,CXD) = (E,F)
• A new implementation of LSMR algorithm for the quaternionic least squares problem
• Hypercomplex correlation techniques for vector images

This page was built for publication: Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C