2) semipositive subdefinite solution
亚半正定解
1.
The necessary and sufficient conditions for the matrix equation AXB=D having symmetric and semipositive subdefinite solutions are studied.
给出了矩阵方程AXB=D有对称解及亚半正定解的充分必要条件,在解存在时,讨论了解的一般表示。
2.
The necessary and sufficient conditions for thd matrix equation (XA,XB)=(C,D) having symmetric, semi-definite and semipositive subdefinite solutions are studied.
给出了矩阵方程(XA,XB)=(C,D)有对称解、半正定解和亚半正定解的充分必要条件;在有解的情况下,给出了通解的表达方式。
3) positive semi definite real part
实部半正定解
1.
s: By analyzing the necessary and sufficient conditions of parti tioned matrix as positive semi definite real part and using generalized singular value decomposition of matrixes as a tool, the necessary and sufficient conditions for the existence of the solutions with positive semi definite real part for matrix equations AXB=C are obtained together with the general forms of such solutions.
通过对分块矩阵为实部半正定阵的充要条件的分析 ,以矩阵的广义奇异值分解 (GSVD)作为工具 ,给出了矩阵方程AXB =C有实部半正定解的充要条件以及这种解的一般形式。
4) symmetric positive semidefinite solution
对称半正定解
1.
The symmetric positive semidefinite solutions of the matrix equation (ATXA,BTXB)=(C,D) is considered in this paper.
讨论了矩阵方程（ＡＴＸＡ，ＢＴＸＢ）＝（Ｃ，Ｄ）的对称半正定解。
5) Sem i-positive solution
半正解
6) Hermite positive semidefinite
Hermite半正定
1.
The complex matrix solutions with Hermite part positive semidefinite and Hermite positive semidefinite for the matrix equation(A*XA,B*XB)=(C,D) is investigated.
研究了复矩阵方程(A*XA,B*XB)=(C,D)有Hermite部分是半正定的解与Hermite半正定解的可解性条件。
补充资料：半解
1.剖分为二。 2.未全理解。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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