Algebraic Method for Inequality Constrained Quaternion Least Squares Problem

作者：Ling, Sitao^*; Xu, Xiangjian; Jiang, Tongsong

来源：Advances in Applied Clifford Algebras, 2013, 23(4): 919-928.

DOI：10.1007/s00006-013-0392-6

• Quaternion matrix
• Quaternionic quantum theory
• Inequality constrained least squares problem
• Complex representation

In this paper, we introduce a kind of complex representation of quaternion matrices (or quaternion vectors) and quaternion matrix norms, study quaternionic least squares problem with quadratic inequality constraints (LSQI) by means of generalized singular value decomposition of quaternion matrices (GSVD), and derive a practical algorithm for finding solutions of the quaternionic LSQI problem in quaternionic quantum theory.

• 出版日期2013-12
• 单位中国矿业大学（北京）; 南通大学; 山东大学