| 摘要: |
| Ｄ．Ｐ．Ｏ′Ｌｅａｒｙ在一定条件下证明了Ｂｒｏｙｄｅｎ方法在求解ｎ维线性方程线对至多２ｎ步终止，又指出当该条件不成立时终止将提前发生，本文中的后者证明了既存在的提前终止的情况，也存在着恰好２ｎ步终止的情况。 |
| 关键词: 线性方程组 Broyden方法 终止性 |
| DOI： |
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| 基金项目:国家自然科学基金，北京市自然科学基金 |
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| A Note on Termination of Broyden Method for Linear System of Equations |
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| Abstract: |
| D. P. O'Leary has proved that Broyden method must terminate in at most 2n steps on linear system of equations with n variables under certain conditions. He said that the termination would actually occur earlier when the conditions do not hold. It is proved that the Broyden method can be terminated earlier and/or terminated in 2n steps exactly when the conditions do not hold. |
| Key words: linear equations,Broyden's method,termination, |
