Matrix iterative algorithms for least-squares problem in quaternionic quantum theory

DOI10.1080/00207160.2012.739684zbMath1276.65022OpenAlexW2013766533MaRDI QIDQ2852128

Si-Tao Ling, Zhi-Gang Jia

Publication date: 8 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.739684

zbMATH Keywords

iterative algorithmnumerical experimentsquaternion matrixleast norm solutionquaternionic least squares

Mathematics Subject Classification ID

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

Related Items (2)

Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C ⋮ Matrix LSQR algorithm for structured solutions to quaternionic least squares problem

Cites Work

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• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• A generalized LSQR algorithm
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Solving Generalized Least-Squares Problems with LSQR
• Quaternionic eigenvalue problem
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• A matrix LSQR iterative method to solve matrix equationAXB=C

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