| 关于加权广义逆的上确界 |
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| 引用本文： | 魏木生.关于加权广义逆的上确界[J].应用数学学报,1998,21(1):74-83. |
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| 作者姓名： | 魏木生 |
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| 作者单位： | 华东师范大学数学系!上海，200062 |
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| 摘 要： | 设P为一类半正定实对称矩阵的集合，满足本文推导此上确界的若干等价性表达式，并具体讨论几种特殊情形．该问题在数学规划和约束最优化问题中具有重要意义
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| 关 键 词： | 加权广义逆 上确界 实对称矩阵 半正定矩阵 |
ON THE SUPREMUM OF WEIGHTED PSEUDOINVERSES |
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| WEI MUSHENG.ON THE SUPREMUM OF WEIGHTED PSEUDOINVERSES[J].Acta Mathematicae Applicatae Sinica,1998,21(1):74-83. |
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| Authors: | WEI MUSHENG |
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| Abstract: | Let P be a set of semi-positive definite real symmetric matrices, satisfying We derive several equivalent formulas of this supremumand discuss some special cases. This problem is important in studying mathematical programming and constrained optimization problems. |
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| Keywords: | Weighted pseudoinverses supremum semi-positive real symmetric matrix |
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