An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations

DOI10.13001/1081-3810.2844zbMath1326.65054OpenAlexW1228198949MaRDI QIDQ3448197

Salman Ahmadi-Asl, Fatemeh Panjeh Ali Beik

Publication date: 23 October 2015

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.2844

zbMATH Keywords

iterative algorithmconvergence accelerationconjugate gradient methodpreconditionernumerical experimentleast squares problemleast squares methodill-conditioned matricesquaternion matrix equation\(\eta\)- Hermitian matrix\(\eta\)-anti-Hermitian matrix

Mathematics Subject Classification ID

Related Items (14)

A constrained system of matrix equations ⋮ Least-squares solutions of generalized Sylvester-type quaternion matrix equations ⋮ Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations ⋮ The \(\eta \)-anti-Hermitian solution to some classic matrix equations ⋮ Matrices over Quaternion Algebras ⋮ Direct Methods of Solving Quaternion Matrix Equation Based on STP ⋮ Efficient iterative method for generalized Sylvester quaternion tensor equation ⋮ An efficient method for solving a quaternionic least-squares problem ⋮ Matrix LSQR algorithm for structured solutions to quaternionic least squares problem ⋮ Iterative algorithms for least-squares solutions of a quaternion matrix equation ⋮ Least squares solution of the quaternion Sylvester tensor equation ⋮ The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer's rule ⋮ Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations ⋮ A direct method to Frobenius norm-based matrix regression

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