| 矩阵方程(XA,XB)=(C,D)的对称解、半正定解和亚半正定解 |
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| 引用本文： | 臧正松.矩阵方程(XA,XB)=(C,D)的对称解、半正定解和亚半正定解[J].安徽师范大学学报(自然科学版),2004,27(3):252-255. |
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| 作者姓名： | 臧正松 |
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| 作者单位： | 江苏科技大学,数理系,江苏,镇江,212003 |
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| 摘 要： | 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.
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| 关 键 词： | 矩阵方程 对称解 半正定解 亚半正定解 |
| 文章编号： | 1001-2443(2004)03-0252-04 |
| 修稿时间： | 2003年10月15日 |
SYMMETRIC,SEMI-DEFINITE AND SEMIPOSITIVE SUBDEFINITE SOLUTIONS OF MATRIX EQUATION(XA,XB)=(C,D) |
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| ZANG Zheng-song.SYMMETRIC,SEMI-DEFINITE AND SEMIPOSITIVE SUBDEFINITE SOLUTIONS OF MATRIX EQUATION(XA,XB)=(C,D)[J].Journal of Anhui Normal University(Natural Science Edition),2004,27(3):252-255. |
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| Authors: | ZANG Zheng-song |
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| Abstract: | The necessary and sufficient conditions for thd matrix equation (XA,XB)=(C,D) having symmetric, semi-definite and semipositive subdefinite solutions are studied. The explicit expression for general solutions are also given when the conditions hold. |
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| Keywords: | matrix equation symmetric solution semi-definite solution semipositive subdefinite solution |
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