An algorithm based on QSVD for the quaternion equality constrained least squares problem

DOI10.1007/s11075-020-01019-zzbMath1472.65048OpenAlexW3093298056MaRDI QIDQ2041518

Ying Li, Hong Zhao, Musheng Wei, Yanzhen Zhang

Publication date: 23 July 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-01019-z

zbMATH Keywords

real representationreal structure-preserving algorithmKarush-Kuhb-Tucker equationquaternion equality constrained least squares problemquaternion SVD

Mathematics Subject Classification ID

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

Related Items (2)

Accuracy and stability of quaternion Gaussian elimination ⋮ An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics

Cites Work

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• A fast structure-preserving method for computing the singular value decomposition of quaternion matrices
• Real structure-preserving algorithms of Householder based transformations for quaternion matrices
• Two novel algebraic techniques for quaternion least squares problems in quaternionic quantum mechanics
• A new double color image watermarking algorithm based on the SVD and Arnold scrambling
• Algebraic algorithms for least squares problem in quaternionic quantum theory
• An algebraic method for Schrödinger equations in quaternionic quantum mechanics
• An iterative algorithm for least squares problem in quaternionic quantum theory
• A new technique of quaternion equality constrained least squares problem
• Accuracy and stability of the null space method for solving the equality constrained least squares problem
• The equality constrained indefinite least squares problem: Theory and algorithms
• Equality constrained least squares problem over quaternion field
• A real structure-preserving method for the quaternion LU decomposition, revisited
• A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems
• A new structure-preserving method for quaternion Hermitian eigenvalue problems
• The hyperbolic elimination method for solving the equality constrained indefinite least squares problem
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• Stability of the MGS-like elimination method for equality constrained least squares problems
• The Direct Solution of Weighted and Equality Constrained Least-Squares Problems
• Error Analysis and Implementation Aspects of Deferred Correction for Equality Constrained Least Squares Problems
• Real structure‐preserving algorithm for quaternion equality constrained least squares problem

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