A criterion for simultaneous polar decomposibility of two rectangular compl
ex matrices is derived using the GL-ordering of Hauke and Markiewicz (J. Ha
uke, A. Markiewicz, On partial ordering on the set of rectangular matrices,
Linear Algebra Appl. 219 (1995) 187-193). A new characterization of this o
rdering is also given. (C) 1999 Elsevier Science Inc. All rights reserved.
AMS classification: 15A45; 15A18.