61 citations · 445 across the 59 of their papers we have counts for
Showing 2011 · math.COShow all
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math.CO2011★ 9 cited
Maximal determinants and saturated D-optimal designs of orders 19 and 37
Richard P. Brent, William Orrick, Judy-anne Osborn +1
A saturated D-optimal design is a {+1,-1} square matrix of given order with maximal determinant. We search for saturated D-optimal designs of orders 19 and 37, and find that known…
math.CO2011
Finding D-optimal designs by randomised decomposition and switching
Richard P. Brent
The Hadamard maximal determinant (maxdet) problem is to find the maximum determinant D(n) of a square {+1, -1} matrix of given order n. Such a matrix with maximum determinant is ca…
math.CO2011★ 15 cited
Fast computation of Bernoulli, Tangent and Secant numbers
Richard P. Brent, David Harvey
We consider the computation of Bernoulli, Tangent (zag), and Secant (zig or Euler) numbers. In particular, we give asymptotically fast algorithms for computing the first n such num…