摘要
本文给出了利用低阶矩阵的亚半正定性来判定高阶矩阵的亚半正定性的几则新的判定定理,同时给出矩阵方程 AX=B 的反问题在亚半正定及亚正定矩阵类中解存在的几则新的充要条件及一般形式.
Inthis paper,we present several criterions for determine
the meta-semi-positive definite properties of high order matrices
by the meta-semi-positive definite properties of low order
matrices.We also present several new necessary and sufficient
conditions for the existence of solution in the meta-semi-positive
definite matrices and meta-semi-positive definite matrices for the
inverse problem of matrix equation AX=B,and give the general
form of the solution.
