The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra
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Publication:5084723
DOI10.1080/03081087.2020.1779172zbMath1492.15017OpenAlexW3035066232MaRDI QIDQ5084723
Yang Zhang, Qing-Wen Wang, Ru-Yuan Lv
Publication date: 28 June 2022
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2020.1779172
Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69) Applications of generalized inverses (15A10)
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The consistency and the general common solution to some quaternion matrix equations ⋮ Adaptive parameter alternating direction algorithm for centrosymmetric solutions of a class of generalized coupled Sylvester-transpose matrix equations ⋮ Solving quaternion linear system \(AXB=E\) based on semi-tensor product of quaternion matrices ⋮ Semi‐tensor product of quaternion matrices and its application ⋮ The least squares solution with the minimal norm to a system of mixed generalized Sylvester reduced biquaternion tensor equations ⋮ Efficient iterative method for generalized Sylvester quaternion tensor equation ⋮ Reducible solution to a quaternion tensor equation ⋮ Solving the least squares (anti)-Hermitian solution for quaternion linear systems
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