A note on an unusual type of generalized polar decomposition

作者：Li Hanyu; Yang Hu^*

来源：Linear Algebra and Its Applications, 2009, 431(5-7): 518-526.

DOI：10.1016/j.laa.2009.02.031

• Generalized polar decomposition
• Symmetric matrices
• Partial isometric matrices
• Conjugate-normal matrices

Inspired by the paper of Fassbender and Ikramov [H. Fassbender, Kh.D. Ikramov, A note on an unusual type of polar decomposition, Linear algebra appl. 429(2008) 42-49], in this note we introduce an unusual type of generalized polar decomposition for a rectangular matrix A of the form A = GE, where G is a complex symmetric matrix and E is a partial isometric matrix. Following the pattern used in the paper mentioned above, we call this decomposition a symmetric-partial-isometric generalized polar decomposition or an SPIGPD for short. Some properties of this decomposition are presented and results of SPIGPD related to conjugate-normal matrices are also obtained.

• 出版日期2009-8-1
• 单位重庆大学