| 一类算子方程的正算子解的研究 |
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| 引用本文： | 杨凯凡.一类算子方程的正算子解的研究[J].数学的实践与认识,2010,40(16). |
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| 作者姓名： | 杨凯凡 |
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| 基金项目： | 陕西省教育厅基金，四川省教育厅基金 |
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| 摘 要： | 对算子方程X+A~*X~(-2)A=Q有正算子解的条件做了进一步的研究,得到了方程有正算子解时A,Q,X的范数、谱半径之间新的关系.并给出了算子方程X+A~*X~(-t)A=Q有正算子解的一些条件.
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| 关 键 词： | 算子方程 正算子 谱 谱半径 |
Studies on the Positive Operator Solutions of Operator Equations |
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| YANG Kai-Fan.Studies on the Positive Operator Solutions of Operator Equations[J].Mathematics in Practice and Theory,2010,40(16). |
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| Authors: | YANG Kai-Fan |
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| Abstract: | In this paper,further studies on necessary conditions for the existence of positive operator solutions to the operator equation X+A*X~(-2)A=Q are given.And based on them,the relations of operator A,Q and X are established in form of norm and spetral radius when the equation has positive operator solutions.Also,some necessary conditions for the existence of positive operator solutions to the operator equation X+A*X~(-t)A = Q are derived. |
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| Keywords: | operator equation positive operator spectrum spectral radius |
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