44 citations · 104 across the 13 of their papers we have counts for
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math.CO2014★ 1 cited
Some binomial sums involving absolute values
Richard P. Brent, Hideyuki Ohtsuka, Judy-anne H. Osborn +1
We consider several families of binomial sum identities whose definition involves the absolute value function. In particular, we consider centered double sums of the form \[S_{α,β}…
math.CO2014★ 1 cited
Lower bounds on maximal determinants of binary matrices via the probabilistic method
Richard P. Brent, Judy-anne H. Osborn, Warren D. Smith
Let be the maximal determinant for -matrices, and be the ratio of to the Hadamard upper bound. We give severa…
math.NA2014★ 21 cited
Bounds on determinants of perturbed diagonal matrices
Richard P. Brent, Judy-anne H. Osborn, Warren D. Smith
We give upper and lower bounds on the determinant of a perturbation of the identity matrix or, more generally, a perturbation of a nonsingular diagonal matrix. The matrices conside…