minimise the trace of a matrix over all column permutations
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I have a 10x10 positive symmetric matrix, I need to find the optimal permutation of the columns in order to minimise the trace. I can't try all permutations because that would be a 10! problem. Any ideas on how to tackle this problem?
linear-algebra matrices optimization trace
asked Jan 21 at 13:36
JNYCJNYC
61
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add a comment |
$begingroup$
I have a 10x10 positive symmetric matrix, I need to find the optimal permutation of the columns in order to minimise the trace. I can't try all permutations because that would be a 10! problem. Any ideas on how to tackle this problem?
linear-algebra matrices optimization trace
asked Jan 21 at 13:36
JNYCJNYC
61
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$begingroup$
See math.stackexchange.com/questions/2876711/….
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– jobe
Jan 21 at 14:08
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It's what Im looking for, thanks!
$endgroup$
– JNYC
Jan 21 at 14:57
add a comment |
$begingroup$
I have a 10x10 positive symmetric matrix, I need to find the optimal permutation of the columns in order to minimise the trace. I can't try all permutations because that would be a 10! problem. Any ideas on how to tackle this problem?
linear-algebra matrices optimization trace
asked Jan 21 at 13:36
JNYCJNYC
61
$endgroup$
I have a 10x10 positive symmetric matrix, I need to find the optimal permutation of the columns in order to minimise the trace. I can't try all permutations because that would be a 10! problem. Any ideas on how to tackle this problem?
linear-algebra matrices optimization trace
linear-algebra matrices optimization trace
asked Jan 21 at 13:36
JNYCJNYC
61
asked Jan 21 at 13:36
JNYCJNYC
61
asked Jan 21 at 13:36
JNYCJNYC
61
asked Jan 21 at 13:36
JNYCJNYC
61
asked Jan 21 at 13:36
JNYCJNYC
61
61
$begingroup$
See math.stackexchange.com/questions/2876711/….
$endgroup$
– jobe
Jan 21 at 14:08
$begingroup$
It's what Im looking for, thanks!
$endgroup$
– JNYC
Jan 21 at 14:57
add a comment |
$begingroup$
See math.stackexchange.com/questions/2876711/….
$endgroup$
– jobe
Jan 21 at 14:08
$begingroup$
It's what Im looking for, thanks!
$endgroup$
– JNYC
Jan 21 at 14:57
$begingroup$
See math.stackexchange.com/questions/2876711/….
$endgroup$
– jobe
Jan 21 at 14:08
$begingroup$
See math.stackexchange.com/questions/2876711/….
$endgroup$
– jobe
Jan 21 at 14:08
$begingroup$
It's what Im looking for, thanks!
$endgroup$
– JNYC
Jan 21 at 14:57
$begingroup$
It's what Im looking for, thanks!
$endgroup$
– JNYC
Jan 21 at 14:57
add a comment |
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$begingroup$
See math.stackexchange.com/questions/2876711/….
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– jobe
Jan 21 at 14:08
$begingroup$
It's what Im looking for, thanks!
$endgroup$
– JNYC
Jan 21 at 14:57