流形上矩阵方程AX=B的正定及半正定阵的反问题

The inverse problems for positive definite and semipositive definite matrices of equation AX=B on manifold

文[1-5]中研究了对称、对称半正定及流形上的对称半正定的反问题,并说明了其应用背景.本文研究线性流形上的正定及半正定阵的反问题,说明了文[1-3]中的一些结果为本文的特例.

The inverse problems for symmetric?symmetric semipositive definite and symmetric semipositive definite matrices on manifold are discussed in papers and application background is given. In this paper,the inverse problems for positive definite and semipositive definite matrices are discussed and some results in papers are special examples of this paper.