Two novel algebraic techniques for quaternion least squares problems in quaternionic quantum mechanics

DOI10.1007/s00006-015-0581-6zbMath1338.65107OpenAlexW940920438MaRDI QIDQ284531

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

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00006-015-0581-6

zbMATH Keywords

real representationleast squaresquaternion matricesquaternionic quantum mechanicscomplex representationquaternion linear equations

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (8)

A new algebraic technique for quaternion constrained least squares problems ⋮ LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory ⋮ A new implementation of LSMR algorithm for the quaternionic least squares problem ⋮ Accuracy and stability of quaternion Gaussian elimination ⋮ Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity ⋮ An algorithm based on QSVD for the quaternion equality constrained least squares problem ⋮ A complex structure-preserving algorithm for split quaternion matrix \textit{LDU} decomposition In split quaternion mechanics ⋮ Solving the least squares (anti)-Hermitian solution for quaternion linear systems

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• Quaternionic differential operators
• Instantons and the buckyball
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• Quaternionic eigenvalue problem
• Quaternions and matrices of quaternions

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