       Sorting of Matrixes and Lists

• To: mathgroup at smc.vnet.net
• Subject: [mg14454] Sorting of Matrixes and Lists
• From: David Lincoln <dlincoln at ici.net>
• Date: Wed, 21 Oct 1998 03:32:51 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```In response to a recent question on how to sort a matrix here are some
methods
for different possible criteria of sorting matrixes and lists.

1) Sort columns of a matrix in ascending order based on the columns
second entry.
This uses same method as sorting by second entry of rows with the
of a before and after transpose.

m = { { 6,9,4}, {5,8, 3}, {2, 11, 7}}

Transpose[
Sort[Transpose[m],
(#1[] <= #2[])&]]

{{4,6,9},{3,5,8},{7,2,11}}

2) Sort rows of a matrix by descending order according to sum of row
entries.

n := {  {1,2,3}, {4,5,6}, {7,8,9}}

Sort[n,(Apply[Plus,#1]>= Apply[Plus,#2])&]

{{7,8,9},{4,5,6},{1,2,3}}

3) Given a list v  of real numbers and a real number c sort in
ascending order according to
distance from c.

v:= { 1.2 , 6.3, 10.4,20.4,31.1,44.2,55.6,88.3} c:= 33.2

Sort[v,(Abs[c - #1] <= Abs[c - #2])&]
{31.1,44.2,20.4,55.6,10.4,6.3,1.2,88.3}

```

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