Abstract: The author considered the polar factorization, generalized inverse and perturbation bound of quasirow (column) symmetric matrix, analyzed some perturbation bounds of the polar factorization of quasirow (column) symmetric matrix, and obtained the calculation formula of the polar factorization and generalized inverse of quasirow (column) symmetric matrix. The results show that the method can not only reduce the calculated amount and memory space, but also can not reduce the numerical accuracy.

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