How Do You Write / Represent the 'All Ones Matrix'?

How Do You Write / Represent the 'All Ones Matrix'?
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Is there a convention to write the all ones matrix in formulas? I'm going to write about the following formular:

$$ A = B + XD + DX + N $$

Where D is a diagonal matrix and X the all ones matrix:

$$ X = \begin{pmatrix} 1 & 1 & \cdots & 1 \\ 1 & 1 & \cdots & 1 \\ \vdots & \vdots & \ddots & \vdots \\ 1 & 1 & \cdots & 1 \end{pmatrix} $$

Is there a greek letter or other convention?

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5

1 Answer

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Yes, I have seen the $n\times n$ all-ones matrix denoted $J_n$. I think this is somewhat conventional in algebraic combinatorics, but I have no idea whether it is commonly used elsewhere.

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Robert Thorne
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Robert Thorne

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.