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standard definition and notation for a truncated permutation

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0

$begingroup$

I am seeking the standard notations or the standard way to define a truncated uniform random permutation. Let $M$ be an $n times n$ matrix where each row and each column contain a single 1 and all other elements are 0. We keep only the first $m$ rows of the matrix with $m < n$ so as to have an $m times n$ matrix.

What is the rigorous way to define such a permutation matrix?

Thank you

matrices permutations terminology

share|cite|improve this question

edited Mar 13 at 19:48

Adam54

asked Mar 13 at 19:33

Adam54Adam54

915

$endgroup$

add a comment | 

0

$begingroup$

I am seeking the standard notations or the standard way to define a truncated uniform random permutation. Let $M$ be an $n times n$ matrix where each row and each column contain a single 1 and all other elements are 0. We keep only the first $m$ rows of the matrix with $m < n$ so as to have an $m times n$ matrix.

What is the rigorous way to define such a permutation matrix?

Thank you

matrices permutations terminology

share|cite|improve this question

edited Mar 13 at 19:48

Adam54

asked Mar 13 at 19:33

Adam54Adam54

915

$endgroup$

add a comment | 

$begingroup$

I am seeking the standard notations or the standard way to define a truncated uniform random permutation. Let $M$ be an $n times n$ matrix where each row and each column contain a single 1 and all other elements are 0. We keep only the first $m$ rows of the matrix with $m < n$ so as to have an $m times n$ matrix.

What is the rigorous way to define such a permutation matrix?

Thank you

matrices permutations terminology

share|cite|improve this question

edited Mar 13 at 19:48

Adam54

asked Mar 13 at 19:33

Adam54Adam54

915

$endgroup$

share|cite|improve this question

edited Mar 13 at 19:48

Adam54

asked Mar 13 at 19:33

Adam54Adam54

915

share|cite|improve this question

edited Mar 13 at 19:48

Adam54

asked Mar 13 at 19:33

Adam54Adam54

915

asked Mar 13 at 19:33

Adam54Adam54

915

asked Mar 13 at 19:33

Adam54Adam54

915