拟行（列）对称矩阵的Schur分解及正交对角分解

Schur Factorization and Orthogonal Diagonal Factorization of Quasi-row(column)Symmetric Matrices

考虑拟行(列)对称矩阵的Schur分解、正交对角分解、Hermite矩阵分解和广义逆,给出拟行(列)对称矩阵的Schur分解、正交对角分解、Hermite矩阵分解和广义逆的计算公式.实例计算结果表明,该方法既减少了计算量与存储量,又不会降低数值精度.

The author considered the Schur factorization,orthogonal diagonal factorization,Hermite matrix factorization and generalized inverse of quasi-row(column)symmetric matrices,gave the formulas of the Schur factorization,orthogonal diagonal factorization,Hermite matrix factorization and generalized inverse of quasi-row(column)symmetric matrices.The calculation results show that the method not only reduces the amount of calculation and storage,but also does not reduce the numerical accuracy.