Algebraic methods for least squares problem in split quaternionic mechanics

作者：Zhang Zhaozhong; Jiang Ziwu; Jiang Tongsong^*

来源：Applied Mathematics and Computation, 2015, 269: 618-625.

DOI：10.1016/j.amc.2015.07.072

• Least squares problem
• Split quaternionic matrices
• Complex representation
• Real representation
• Split quaternionic mechanics

A split quaternionic least squares problem is one method of solving overdetermined sets of split quaternion linear equations AX approximate to B that is appropriate when there is error in the matrix B. In this paper, by means of complex representation and real representation of a split quaternion matrix, we study the split quaternionic least squares problem, derive two algebraic methods for finding solutions of the problems in split quaternionic mechanics.

• 出版日期2015-10-15
• 单位山东大学