Abstract:

The author considered the polar factorization, generalized inverse and perturbation bound of row (column) symmetric matrix, and gave the calculation formula of the polar factorization and generalized inverse of row (column) symmetric matrix. Some perturbation bounds of the polar factorization of row (column) symmetric matrix were presented. The results show that the algorithm is simple and fast, and it doesn’t reduce the numerical accuracy.

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