Redheffer matrix
In mathematics, a Redheffer matrix, studied by Redheffer (1977), is a (0,1) matrix whose entries aij are 1 if i divides j or if j = 1; otherwise, aij = 0.
The determinant of the nxn square Redheffer matrix is given by the Mertens function M(n).
Example
The matrix below is the 12 × 12 Redheffer matrix.
References
- Redheffer, Ray (1977), "Eine explizit lösbare Optimierungsaufgabe", Numerische Methoden bei Optimierungsaufgaben, Band 3 (Tagung, Math. Forschungsinst., Oberwolfach, 1976), Basel, Boston, Berlin: Birkhäuser, pp. 213–216, MR 0468170
External links
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