Least squares η-bi-Hermitian problems of the quaternion matrix equation (AXB,CXD) = (E,F)

DOI10.1080/03081087.2014.977279zbMath1328.65103OpenAlexW2065734555MaRDI QIDQ2943852

Peng Wang, Shi-Fang Yuan, An-Ping Liao

Publication date: 4 September 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.977279

zbMATH Keywords

Kronecker productMoore-Penrose generalized inverseleast squares solutionquaternion matrix equationleast norm solution\(\eta\)-bi-Hermitian matrices

Mathematics Subject Classification ID

Related Items (11)

Several kinds of special least squares solutions to quaternion matrix equation \(AXB=C\) ⋮ Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C ⋮ Solution to a system of real quaternion matrix equations encompassing \(\eta\)-Hermicity ⋮ The \(\eta \)-anti-Hermitian solution to some classic matrix equations ⋮ Centrohermitian and skew-centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation \((AXB,DXE) = (C,F)\) ⋮ Algebraic techniques for the least squares problems in elliptic complex matrix theory and their applications ⋮ Matrix LSQR algorithm for structured solutions to quaternionic least squares problem ⋮ The least square solution with the least norm to a system of quaternion matrix equations ⋮ Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices ⋮ Pure PSVD approach to Sylvester-type quaternion matrix equations ⋮ Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm

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