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I have a set of functions that map square matrices with $n$ rows and columns to square matrices with $k < n$ rows and columns. Is there a name for this property? I know that 'projection' would be the wrong word. Also I don't mean that the function only changes the size, it might also do other things.

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    Are you mapping a matrix to a square [submatrix](http://en.wikipedia.org/wiki/Submatrix)?2010-11-09
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    Not necessarily, but I would like 'taking a square submatrix' to be in the set of functions whose name I'm looking for.2010-11-09
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    I posted a new question, asking for a list of names of more specific functions.2010-11-09

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