| 张宝善,蒋永泉.利用矩阵方程研究两类线性方程反问题[J].数学研究及应用,1997,17(4):626~628 |
| 利用矩阵方程研究两类线性方程反问题 |
| On Two Kinds of Inverse Problems of Linear Equations |
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| DOI：10.3770/j.issn:1000-341X.1997.04.032 |
| 中文关键词: 反问题Ⅱ Ⅱ矩阵方程 初等变换法 |
| 英文关键词:inverse problem Ⅱ Ⅲ matrix equation elementary operation. |
| 基金项目: |
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| 摘要点击次数: 1901 |
| 全文下载次数: 1567 |
| 中文摘要: |
| 将线性代数方程组反问题转化为解列满秩的矩阵方程ＹＢ＝Ｃ，利用矩阵方程解的结构简化反问题Ⅱ［６］的初等变换法，给出反问题Ⅲ［６］一个猜测的简单证明． |
| 英文摘要: |
| The inverse problems of linear equations is reduced to matrix equation YB=C, where β is a matrix of column full rank. By an elementary operation in inverse problem Ⅱ with the structure of solution of the matrix equation we give a simple proof for a conjecture of inverse problem Ⅲ in [6]. |
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