| Hilbert空间中一个定理的证明和应用 |
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| 引用本文： | 王文远 袁东锦. Hilbert空间中一个定理的证明和应用[J]. 内蒙古师范大学学报(自然科学版), 1990, 0(2): 10-15 |
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| 作者姓名： | 王文远 袁东锦 |
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| 作者单位： | 内蒙师大计算中心(王文远)，扬州师院数学系(袁东锦) |
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| 摘 要： | 本文得到一个Hilbert空间中关于算子范数的定理,应用这个定理,可以导出列(或行)满秩时的长方矩阵求广义逆谱条件数在扰动问题中的优性的两个结果.
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| 关 键 词： | 希氏空间 连续算子 谱条件数 扰动 |
The Proof and Application For a Theorem In Hilbert Space |
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| Wang Wenyuan. The Proof and Application For a Theorem In Hilbert Space[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 1990, 0(2): 10-15 |
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| Authors: | Wang Wenyuan |
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| Affiliation: | centre of compute of INNER Mongolia Normal University) Yuan Dongjin epartment of Mathematics of Yangzhou Normal college) |
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| Abstract: | In this paper,We have derived a theorem on operator norm in Hilbert space.By use of this theorem,We may derive two results of optimum in pertuba-tion problems with respect to spectral Condition number to Generalized inv-erse of Column(or row)full rank matrix. |
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| Keywords: | Hilbrt space continuous operator Generalized inverse spectral condition number perturbation |
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