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hww1986116

金虫 (著名写手)

[求助] 矩阵所有元素减某一常数,矩阵秩减一,如何求这一常数?

已知: M维对称方阵R秩为K+1,其肯定可表示为K+1个线性无关的矢量与其共轭转置相乘的形式。且其中K个基底不可知,只有1个基底已知。已知的基底为全1矢量(即该矢量全部由1构成)。现要求该全1矢量对应的系数?
或者问题可以转化为:R中所有元素减去某一数,减之后其秩由K+1降为K,求被减的这个数是多少?
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wfls2008

铁杆木虫 (正式写手)

用优化的思路,求可行解?ampl。剩下的我也不知道了。祝好运。

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2楼2015-09-13 16:42:13
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