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Question:

is there a special name for matrices whose rows and columns sum to zero?

I actually need information about those matrices and thus a keyword for online search.

Edit: as there apparently is no name for those kind of matrices, I would like to suggest ,"Vibration Matrices" for discussion, because vibrating membranes exhibit an analogous property with respect to the unexcited state as the zero-level.

Further edit:
Laplacian Matrices are integer valued examples of diagonally dominant matrices with vanishing row- and column sums.

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    $\begingroup$ This question looks relevant: mathoverflow.net/questions/293024/… $\endgroup$
    – Spencer Dembner
    Jul 25, 2019 at 14:28
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    $\begingroup$ That was not on intent, I had forgotten about my earlier question, but still I would appreciate a keyword for those kind of matrices or, if there isn't one in use, suggestions for such a name. $\endgroup$
    – Manfred Weis
    Jul 26, 2019 at 3:37
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    $\begingroup$ Note that if $S$ is doubly-stochastic, then $S-I$ is your matrix. Maybe useful? $\endgroup$
    – kjetil b halvorsen
    Jul 27, 2019 at 13:34
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    $\begingroup$ @kjetilbhalvorsen true, but not all of 'my' matrices are of that structure because $|a_{ij}|\le 1$ for doubly stochastic matrices, whereas no such restriction exists for 'my' matrices. Of course every zero linesum matrix can be scaled to satisfy $\max(|a_{ij})|\in \lbrace 0,1\rbrace$ $\endgroup$
    – Manfred Weis
    Jul 27, 2019 at 15:29
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    $\begingroup$ Yes i saw it here bkms.kms.or.kr/submission/Source/Download.php?FileDir=/201711/… $\endgroup$
    – Toni Mhax
    Jul 27, 2019 at 16:12

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