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A note on an unusual type of generalized polar decomposition

✍ Scribed by Hanyu Li; Hu Yang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
138 KB
Volume
431
Category
Article
ISSN
0024-3795

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✦ Synopsis

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.

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