Abstract:

The author studied the polar factorization and generalized inverse and perturbation bound of row (column) skew symmetric matrix. 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 the polar factorization of row (column) skew symmetric matrix were also presented.

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