Real and complex solutions of the total least squares problem in commutative quaternionic theory
摘要
As a very effective research tool, the commutative quaternion least squares (LS) problems, especially the commutative quaternion total least squares (TLS) problems, have a wide range of potential applications in mathematical physics, telecommunications, and image processing. This paper studies the commutative quaternion TLS problem using the real and complex representation of a commutative quaternion matrix and gives two algorithms for solving the real and complex solutions of the commutative quaternion TLS problem in commutative quaternionic theory.