AbstractWe consider the complexity of the LLL HNF algorithm Havas et al.(1998, Algorithm 4). This algorithm takes as input an m by n matrix G of integers and produces as output a matrixb∈GLm(Z) so thatA=bG is in Hermite normal form (upside down). The analysis is similar to that of an extended LLL algorithm as given in van der Kallen (1998)
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
This thesis presents a new algorithm for computing the Hermite form of a polynomial matrix. Given a...
AbstractWe consider the complexity of the LLL HNF algorithm Havas et al.(1998, Algorithm 4). This al...
Computing the Hermite Normal Form of an n x n integer matrix using the best current algorithms typic...
AbstractThis paper is about how to compute the Hermite normal form of a random integer matrix in pra...
AbstractLinear systems with structures such as Toeplitz, Vandermonde or Cauchy-likeness can be solve...
AbstractThis paper considers the problem of transforming a triangular integer input matrix to canoni...
International audienceLinear systems with structures such as Toeplitz, Vandermonde or Cauchy-likenes...
We verify two algorithms for which modular arithmetic plays an essential role: Storjohann's variant ...
Structured linear algebra techniques are a versatile set of tools; they enable one to deal at once w...
Structured linear algebra techniques are a versatile set of tools; they enable one to deal at once w...
A Las Vegas randomized algorithm is given to compute the Hermite normal form of a nonsingular intege...
AbstractA Las Vegas probabilistic algorithm is presented that finds the Smith normal form S ∈ Q[x]n ...
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
This thesis presents a new algorithm for computing the Hermite form of a polynomial matrix. Given a...
AbstractWe consider the complexity of the LLL HNF algorithm Havas et al.(1998, Algorithm 4). This al...
Computing the Hermite Normal Form of an n x n integer matrix using the best current algorithms typic...
AbstractThis paper is about how to compute the Hermite normal form of a random integer matrix in pra...
AbstractLinear systems with structures such as Toeplitz, Vandermonde or Cauchy-likeness can be solve...
AbstractThis paper considers the problem of transforming a triangular integer input matrix to canoni...
International audienceLinear systems with structures such as Toeplitz, Vandermonde or Cauchy-likenes...
We verify two algorithms for which modular arithmetic plays an essential role: Storjohann's variant ...
Structured linear algebra techniques are a versatile set of tools; they enable one to deal at once w...
Structured linear algebra techniques are a versatile set of tools; they enable one to deal at once w...
A Las Vegas randomized algorithm is given to compute the Hermite normal form of a nonsingular intege...
AbstractA Las Vegas probabilistic algorithm is presented that finds the Smith normal form S ∈ Q[x]n ...
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
International audienceThis paper is about how to compute the Hermite normal form of a random integer...
This thesis presents a new algorithm for computing the Hermite form of a polynomial matrix. Given a...