关键词: 奇异值分解, 广义极分解, 半正定因子, 列满秩矩阵

Abstract: With the singular value decomposition and generalized polar decomposition of matrix，this paper obtained new perturbation bounds for the semi-definite factor of generalized polar decomposition of the matrices with full column rank. The conclusions improved the previous results，and the previous results can be viewed as a special case of the new perturbation bounds.

Key words: singular value decomposition, generalized polar decomposition, semi- definite factor, matrices with full column rank