| 矩阵方程X+A~TX~(-1)A=I的正规亚正定解 |
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| 引用本文： | 黄敬频.矩阵方程X+A~TX~(-1)A=I的正规亚正定解[J].广西师范学院学报(自然科学版),1998(3). |
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| 作者姓名： | 黄敬频 |
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| 作者单位： | 柳州师范高等专科学校数学系 |
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| 摘 要： | 推导出矩阵方程Ｘ＋ＡＴＸ－１Ａ＝Ｉ有正规亚正定解的充要条件，从而得到了它的反问题有解的充要条件及其解的一般形式，并给出其解的谱半径估计。
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| 关 键 词： | 矩阵方程 正规亚正定解 反问题 谱半径估计 |
THE NORMAL SUBPOSITIVE DEFINITE MATRIX SOLUTIONS OF THE MATRIX EQUATION X+A TX -1 A=I |
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| Huang JingPing.THE NORMAL SUBPOSITIVE DEFINITE MATRIX SOLUTIONS OF THE MATRIX EQUATION X+A TX -1 A=I[J].Journal of Guangxi Teachers Education University:Natural Science Edition,1998(3). |
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| Authors: | Huang JingPing |
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| Abstract: | In this paper,the sufficient and necessary condition for the consistency on the normal subpositive definite matrix solutions of the matrix equation X+A TX -1 A=I is derived,thus the sufficient and necessary condition for the consistency of it's inverse problem is obtained,and its general solutions are given,as well as an estimation of spectral radius about its solutions. |
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| Keywords: | matrix equation the normal subpositive definite matrix solutions inverse problem estimation of spectral radius |
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