A new algebraic technique for quaternion constrained least squares problems

DOI10.1007/s00006-018-0838-yzbMath1391.15099OpenAlexW2794006634MaRDI QIDQ1644453

Zhaozhong Zhang, Tong-Song Jiang, Zi-Wu Jiang

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0838-y

zbMATH Keywords

quaternion matrixsingular values decompositionconstrained least squares

Mathematics Subject Classification ID

Least squares and related methods for stochastic control systems (93E24) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear equations (linear algebraic aspects) (15A06)

Related Items (5)

An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ Octonionic Kerzman-Stein operators ⋮ A complex structure-preserving algorithm for split quaternion matrix \textit{LDU} decomposition In split quaternion mechanics

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• A new technique of quaternion equality constrained least squares problem
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• Algebraic method for inequality constrained quaternion least squares problem
• A Quaternion Widely Linear Adaptive Filter
• Quaternions and matrices of quaternions

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