A New Algebraic Technique for Quaternion Constrained Least Squares Problems

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

来源：Advances in Applied Clifford Algebras, 2018, 28(1): 14.

DOI：10.1007/s00006-018-0838-y

• Equality constrained least squares
• Quadratic inequality constrained least squares
• Generalized singular values decomposition
• Quaternion matrix
• Complex representation

This paper studies the constrained least squares problems of quaternion matrices by means of complex representation of quaternion matrices, and derive a novel algebraic technique for the quaternion equality constrained least squares (LSE) and quadratic inequality constrained least squares (LSQI) problems by generalized singular values decomposition (GSVD) of complex matrices.

• 出版日期2018-3
• 单位菏泽学院