An algebraic technique for total least squares problem in quaternionic quantum theory

DOI10.1016/j.aml.2015.08.013zbMath1330.81115OpenAlexW1410540166MaRDI QIDQ900999

Tong-Song Jiang, Si-Tao Ling, Xue-Han Cheng

Publication date: 23 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.08.013

zbMATH Keywords

real representationtotal least squaresquaternionic quantum theoryquaternion total least squares

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

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 ⋮ Semi‐tensor product of quaternion matrices and its application ⋮ A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications ⋮ Solving the least squares (anti)-Hermitian solution for quaternion linear systems

Uses Software

• VanHuffel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An Analysis of the Total Least Squares Problem
• Algebraic algorithms for least squares problem in quaternionic quantum theory
• Algebraic relations between the total least squares and least squares problems with more than one solution
• Analysis of the generalized total least squares problem \(AX\approx B\) when some columns of \(A\) are free of error
• Equality constrained least squares problem over quaternion field
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory

This page was built for publication: An algebraic technique for total least squares problem in quaternionic quantum theory