Algebraic methods for least squares problem in split quaternionic mechanics

DOI10.1016/j.amc.2015.07.072zbMath1410.65118OpenAlexW1264718991MaRDI QIDQ668711

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

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.072

zbMATH Keywords

real representationleast squares problemcomplex representationsplit quaternionic matricessplit quaternionic mechanics

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items

On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics ⋮ An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics ⋮ \(2\times 2\) matrix representation forms and inner relationships of split quaternions ⋮ Matrices over Quaternion Algebras ⋮ Algebraic methods for equality constrained least squares problems in commutative quaternionic theory ⋮ Algebraic techniques for Schrödinger equations in split quaternionic mechanics ⋮ Cramer’s rule over quaternions and split quaternions: A unified algebraic approach in quaternionic and split quaternionic mechanics ⋮ Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\) ⋮ On the split quaternion matrix equation \(AX=B\) ⋮ A complex structure-preserving algorithm for split quaternion matrix \textit{LDU} decomposition In split quaternion mechanics ⋮ Elementary transformation and its applications for split quaternion matrices

Cites Work

• Algebraic algorithms for least squares problem in quaternionic quantum theory
• A new technique of quaternion equality constrained least squares problem
• Some algebraic and analytical properties of coquaternion algebra
• The roots of a split quaternion
• On complex split quaternion matrices
• On eigenvalues of split quaternion matrices
• Non-Hermitian Quantum Mechanics
• On complexified mechanics and coquaternions
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Algebraic methods for least squares problem in split quaternionic mechanics