|
|
A098072
|
|
An example of a 3 X 3 matrix with nonnegative elements that produces the maximum possible number of 10080 different determinants if all 9! permutations of the matrix elements are performed. The target is to find a matrix for which the largest element becomes as small as possible.
|
|
3
|
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
In November 2004 this is the example with the smallest known largest element. It was found in a random search after 3 CPU (1.5 GHz Intel Itanium 2) months. No improvement was found in another 6 months of CPU time.
|
|
LINKS
|
|
|
PROG
|
FORTRAN program given at link.
|
|
CROSSREFS
|
Cf. A088021 maximal number of different determinants of an n X n matrix, A099834 different determinants of matrix with nonnegative entries <=n.
Optimal solution found by exhaustive search: A316601.
|
|
KEYWORD
|
fini,full,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|