Abstract:

The author studied the polar factorization and generalized inverse of row (column) skew symmetric matrix, which leads to some new results. In addition, the formula of the polar factorization and generalized inverse of row (column) skew symmetric matrix were given, which makes calculation easier, and some perturbation bounds of polar factorization of row (column) skew symmetric matrix were also presented.

Key words:  row (column) skew symmetric matrix, polar factorization, generalized inverse, perturbation bound