On the Application of Sylvester Equation to Matrix Perturbation Problems
Sylvester方程在矩阵扰动分析中的应用

This paper deals with matrix perturbation problems by means of Sylvester matrix equations.The new approach is simple in the demonstration and the perturbation bounds obtained are moreaccurate for some problems, such as QR factorization, Cholesky factors, eigenvalues of a matrixand deflating-pairs of regular matrix-pencils. A new and straightforward proof for the pertur-bation theorem on polar decomposition is also given.