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Timeline for Modified interlacing of eigenvalues

Current License: CC BY-SA 3.0

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Apr 29, 2016 at 4:50 vote accept Sry
Apr 28, 2016 at 21:40 answer added Nik Weaver timeline score: 1
Apr 27, 2016 at 15:17 comment added Nik Weaver Okay, I misread the problem. I don't know the answer, but did you notice that you could put $B = 2v$ without changing nonzero eigenvalues? So the question is about interlacing between $\left[\matrix{A& v\cr v^T&0}\right]$ and $\left[\matrix{A& 2v\cr 2v^T& 0}\right]$.
Apr 27, 2016 at 7:24 comment added Sry I have edited the question to be more elaborated. Yesterday also I put those details in a comment but that comment is no more visible and I don't know why :(
Apr 27, 2016 at 7:16 history edited Sry CC BY-SA 3.0
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Apr 27, 2016 at 7:07 comment added Sry Yes, It can be zero. In particular, take $A=0$ and $A$ is a $n$ order principal submatrix of $D$. I don't understand why you took $n\le4$
Apr 26, 2016 at 16:09 comment added Nik Weaver $P$ is any order $n$ principal submatrix of $D$ $\ldots$ so if $n \leq 4$, could $P$ be the zero matrix?
Apr 26, 2016 at 7:50 history edited Sry CC BY-SA 3.0
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Apr 26, 2016 at 7:33 history edited Sry CC BY-SA 3.0
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S Apr 25, 2016 at 13:54 history suggested Amir Sagiv
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Apr 25, 2016 at 13:32 review Suggested edits
S Apr 25, 2016 at 13:54
Apr 25, 2016 at 12:32 history edited Sry CC BY-SA 3.0
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Apr 25, 2016 at 12:11 review First posts
Apr 25, 2016 at 12:33
Apr 25, 2016 at 12:03 history asked Sry CC BY-SA 3.0