对称正定矩阵的分解

Decomposition of Symmetric Positive Definite Matrices

基于对称正定矩阵的特殊性质,利用谱分解、拉格朗日插值、矩阵的交换性三种不同的思想将对称正定矩阵的分解进行延拓,并将其运用于解决更多的数学问题。

Based on the special properties of symmetric positive definite matrix,the decomposition of symmetric positive definite matrix is extended by using three different ideas:spectral decomposi-tion,Lagrange interpolation and commutativity of matrix,and it is applied to solve more mathe-matical problems.