考虑行(列)对称矩阵的极分解与广义逆,给出了行(列)对称矩阵的极分解和广义逆的计算公式,并导出了行(列)对称矩阵极分解的系列扰动界.结果表明,所给方法既减少了计算量与存储量,又不会降低数值精度.
The author studied the polar factorization and generalized inverse of row(column)symmetric matrix.In addition,the formulae of the polar factorization and generalized inverse of row(column)symmetric matrix were given,which make calculation easier.And some perturbation bounds of the polar factorization of row(column)symmetric matrix were also presented.