A real method for solving quaternion matrix equation \(\mathbf{X}-\mathbf{A}\hat{\mathbf{X}}\mathbf{B} = \mathbf{C}\) based on semi-tensor product of matrices

DOI10.1007/s00006-021-01180-1zbMath1478.15020OpenAlexW3209990524MaRDI QIDQ2052889

Yanyan Li

Publication date: 29 November 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-021-01180-1

zbMATH Keywords

least squares solutionsemi-tensor product of matricesquaternion matrix equationreal vector representation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69)

Related Items (5)

\(\mathcal{L_C}\) structure-preserving method based on semi-tensor product of matrices for the QR decomposition in quaternionic quantum theory ⋮ Direct Methods of Solving Quaternion Matrix Equation Based on STP ⋮ Solving quaternion linear system \(AXB=E\) based on semi-tensor product of quaternion matrices ⋮ New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems ⋮ Solving the least squares (anti)-Hermitian solution for quaternion linear systems

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