AbstractFor matrices with algebraic integer entries, this paper studies: (i) completions with prescribed determinant, (ii) the Hermite triangular form, (iii) the Schur triangular form, (iv) the Smith diagonal form, and (v) links connecting eigenvalues and Smith invariants
We establish that a pair of matrices, which determinants are primes powers, can be reduced over qua...
AbstractClassical Schur's matrix is a different evaluation, provided by Schur, of the quadratic Gaus...
We consider algorithms for computing the Smith normal form of integer matrices. A variety of differe...
AbstractFor matrices with algebraic integer entries, this paper studies: (i) completions with prescr...
AbstractWe consider a system of linear equations of the form A(x)X(x) = b(x), where A(x), b(x) are g...
Necessary and sufficient conditions are established on a ring for any matrix with elements in the ri...
Funding Information: The authors thank Alessia Cattabriga for insightful discussions on Brieskorn an...
We investigate the existence of integer matrices B satisfying the equation BBT = rI + sJ where T den...
Abstract. This paper surveys some combinatorial aspects of Smith normal form, and more generally, di...
The object of this work is to offer algorithm how can be solved systems of linear equations Ax=b ove...
We study the Smith forms of matrices of the form f(Cg) where f(t),g(t)∈R[t], where R is an elementar...
In the present paper, we study formal matrix rings over a given ring and determinants of such matric...
In the present paper, we study formal matrix rings over a given ring and determinants of such matric...
We consider integer matrices Nt whose rows are indexed by the t-subsets of an n-set and whose column...
AbstractThe set E(Z) of eigenvalues of symmetric matrices over Z is shown to be the set of all total...
We establish that a pair of matrices, which determinants are primes powers, can be reduced over qua...
AbstractClassical Schur's matrix is a different evaluation, provided by Schur, of the quadratic Gaus...
We consider algorithms for computing the Smith normal form of integer matrices. A variety of differe...
AbstractFor matrices with algebraic integer entries, this paper studies: (i) completions with prescr...
AbstractWe consider a system of linear equations of the form A(x)X(x) = b(x), where A(x), b(x) are g...
Necessary and sufficient conditions are established on a ring for any matrix with elements in the ri...
Funding Information: The authors thank Alessia Cattabriga for insightful discussions on Brieskorn an...
We investigate the existence of integer matrices B satisfying the equation BBT = rI + sJ where T den...
Abstract. This paper surveys some combinatorial aspects of Smith normal form, and more generally, di...
The object of this work is to offer algorithm how can be solved systems of linear equations Ax=b ove...
We study the Smith forms of matrices of the form f(Cg) where f(t),g(t)∈R[t], where R is an elementar...
In the present paper, we study formal matrix rings over a given ring and determinants of such matric...
In the present paper, we study formal matrix rings over a given ring and determinants of such matric...
We consider integer matrices Nt whose rows are indexed by the t-subsets of an n-set and whose column...
AbstractThe set E(Z) of eigenvalues of symmetric matrices over Z is shown to be the set of all total...
We establish that a pair of matrices, which determinants are primes powers, can be reduced over qua...
AbstractClassical Schur's matrix is a different evaluation, provided by Schur, of the quadratic Gaus...
We consider algorithms for computing the Smith normal form of integer matrices. A variety of differe...
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