关键词: 泛延拓矩阵, 极分解, 广义逆, 扰动界

Abstract: By using the relevant properties of  matrix factorization and generalized inverse, some calculating formulas of the polar factorization, generalized inverse and perturbation bounds for universal extended matrix were given. The results of numerical examples show that this method can greatly reduce the calculation amount and storage capacity without changing the numerical accuracy.

Key words: universal extended matrix, polar factorization, generalized inverse, perturbation bound