An efficient method for solving a quaternionic least-squares problem

DOI10.1007/s40819-017-0458-6zbMath1383.65032OpenAlexW2782587604MaRDI QIDQ1700487

Alireza Shojaei-Fard, Ali Nakhaei Amroudi

Publication date: 6 March 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0458-6

zbMATH Keywords

algorithmconvergencenumerical examplesmatrix equationquaternion matricesquaternionic least quares problem

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 (1)

Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity

Uses Software

• SparseMatrix

Cites Work

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• Iterative algorithms for least-squares solutions of a quaternion matrix equation
• Hermitian tridiagonal solution with the least norm to quaternionic least squares problem
• Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
• Iterative algorithm for solving a class of quaternion matrix equation over the generalized \((P, Q)\)-reflexive matrices
• Quaternions for Computer Graphics
• Rotation Transforms for Computer Graphics
• An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations
• Right eigenvalue equation in quaternionic quantum mechanics
• An efficient iterative algorithm for quaternionic least-squares problems over the generalized -(anti-)bi-Hermitian matrices

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