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Is there a scientific name for such a matrix where elements have the same value except at the diagonal? For example:

$$ \begin{bmatrix}x+1 &x&x&...&x\\x&x+2&x&...&x\\x&x&x+3&...&x\\...&...&...&...&...\\x&x&x&...&x+n\end{bmatrix} $$

Note: this matrix appeared in This question. Thx.

Community
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NoChance
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    There's quite a big list on Wikipedia, but I see no definition there. I don't think such a matrix is used often enough to have a commonly agreed upon name. –  Feb 26 '16 at 01:04
  • @ChantryCargill, good list. Thanks. – NoChance Feb 26 '16 at 19:54

1 Answers1

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If anything, this is a representation of a symmetric matrix, and I believe that is the closest this we can get to a scientific name for this. I guess one could consider this a pseudo-diagonal matrix, in the sense that all elements are the same off the diagonal but the elements off the diagonal are not necessarily zero.

Jackson
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  • No, that's not the accepted meaning of pseudo-diagonal. A pseudo-diagonal matrix is an $m \times n$ matrix (where $m$ and $n$ can be different) such that $a_{ij} = 0$ if $i \ne j$. – Robert Israel Feb 26 '16 at 01:02