Ratio of |Det R| to Ehlich/Wojtas bound: 1

M=R^{T}R=R R^{T}

| S 0 | M = | | | 0 S |with S = 100 I + 2 J where I is the 51×51 identity matrix and J is the 51×51 matrix with all entries 1.

There is one known matrix, R, composed of circulant blocks, A and B:

| A B | | | | T T| |-B A |The first rows of A and B are:

R:

+-+-++-+++--+++-+-+-+---+--++++++----++-++-++++-+++ -++++-++++--+-+-+---++-+--++-++-++--+++-----+++++++

Notes:

- The maximal matrix, R, was found by Cohn [C2]. It is of circulant block form.
- Are there other inequivalent matrices?

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Page created 1 June 2003.

Last modified 1 June 2003.

Comments: maxdet@indiana.edu