Special least squares solutions of the quaternion matrix equation \(AXB+CXD=E\)

DOI10.1016/j.camwa.2016.07.019zbMath1357.65041OpenAlexW2511816745MaRDI QIDQ516698

Fengxia Zhang, Jianli Zhao, Weisheng Mu, Ying Li

Publication date: 15 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.019

zbMATH Keywords

real representationMoore-Penrose generalized inverseleast squares solutionquaternion matrix equation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10)

Related Items (11)

An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E ⋮ An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C ⋮ A general method for solving linear matrix equations of elliptic biquaternions with applications ⋮ Least-squares solutions of generalized Sylvester-type quaternion matrix equations ⋮ On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\) ⋮ Matrices over Quaternion Algebras ⋮ Direct Methods of Solving Quaternion Matrix Equation Based on STP ⋮ Efficient iterative method for generalized Sylvester quaternion tensor equation ⋮ Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G)

Cites Work

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