We present some recent results from our research on methods for finding the minimal solutions to linear Diophantine equations over the naturals. We give an overview of a family of...
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
We have previously developed a method [1] for the inverse design of small ligands. This method can be used to design novel compounds with optimized properties (such as drugs) and ...
Shawn Martin, W. Michael Brown, Jean-Loup Faulon, ...
Abstract. A new algorithm for finding the minimal solutions of systems of linear Diophantine equations has recently been published. In its description the emphasis was put on the ...
Abstract. New algorithms are described and analysed for solving various problems associated with a large integer matrix: computing the Hermite form, computing a kernel basis, and s...
Mark Giesbrecht, Michael J. Jacobson Jr., Arne Sto...