拟行(列)对称矩阵的极分解

Polar Factorization of Quasi-row(column)Symmetric Matrix

考虑拟行(列)对称矩阵的极分解、广义逆和扰动界,并对拟行(列)对称矩阵的极分解进行扰动分析,获得了拟行(列)对称矩阵的极分解和广义逆的计算公式.结果表明,该方法既能减少计算量与存储量,又不会降低数值精度.

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.