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Can anyone add to the introduction more information about what conference matrices are used for, and how? Zaslav 04:10, 15 November 2006 (UTC)
I have reversed the bold-facing of the matrix names, which seems to be due to a misunderstanding. The "C" in C-matrix is not a matrix, it is the abbreviation of the word "conference". Zaslav ( talk) 04:21, 10 January 2008 (UTC)
Obviously, the condition to have exactly one 0 on each row and column is a consequence of CC'=(n-1)I, (since diagonal elements are sum( Cij^2 , j=1..n) for any given i) but there are research papers that do not require the 0 to be on the diagonal, e.g. http://dx.doi.org/10.1016/j.jcta.2005.05.005 where we read:
or http://dx.doi.org/10.1016/j.endm.2004.03.036 where we read
A possibility of such a matrix which does not have the 0 on the diagonal is:
[1, 0, 1, 1] [0, -1, -1, 1] [1, -1, 0, -1] [1, 1, -1, 0]
If both definitions are used, it should be mentioned. — MFH: Talk 14:39, 14 March 2008 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
To-do list for Conference matrix:
|
Can anyone add to the introduction more information about what conference matrices are used for, and how? Zaslav 04:10, 15 November 2006 (UTC)
I have reversed the bold-facing of the matrix names, which seems to be due to a misunderstanding. The "C" in C-matrix is not a matrix, it is the abbreviation of the word "conference". Zaslav ( talk) 04:21, 10 January 2008 (UTC)
Obviously, the condition to have exactly one 0 on each row and column is a consequence of CC'=(n-1)I, (since diagonal elements are sum( Cij^2 , j=1..n) for any given i) but there are research papers that do not require the 0 to be on the diagonal, e.g. http://dx.doi.org/10.1016/j.jcta.2005.05.005 where we read:
or http://dx.doi.org/10.1016/j.endm.2004.03.036 where we read
A possibility of such a matrix which does not have the 0 on the diagonal is:
[1, 0, 1, 1] [0, -1, -1, 1] [1, -1, 0, -1] [1, 1, -1, 0]
If both definitions are used, it should be mentioned. — MFH: Talk 14:39, 14 March 2008 (UTC)