AbstractIn this paper, we investigate lower and upper bounds for determinants. For diagonally dominant matrices, general H-matrices, and certain not diagonally dominant matrices, lower and upper bounds for determinants are obtained
AbstractWeakest linear conditions on the rows of a square matrix of arbitrary dimension to ensure th...
AbstractWe establish an upper bound for the absolute value of the determinant of the Hadamard (eleme...
AbstractWe estimate the difference of determinants of two square matrices in terms of the norms of t...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
AbstractSharp lower bounds for the determinant and the trace of a certain class of hermitian matrice...
We derive a lower bound on determinants, utilizing a theorem of linear programming. Let l and u be p...
Elsner L. Bounds for determinants of perturbed M-matrices. Linear Algebra and its Applications. 1997...
AbstractLet be an arithmetical function and S = x1, xn a set of distinct positive integers. Let ((xi...
AbstractThis paper studies bounds for the modulus and the argument of the determinant of certain str...
In this paper, we study the class of relatively $D$-stable matrices and provide the conditions, suff...
This article evaluates the determinants of two classes of special matrices, which are both from a nu...
AbstractA sharp upper bound for the relative error of the determinant of an M-matrix in terms of the...
et D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/nn/2 be the ratio of D(n...
Let D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/n<sup>n/2</sup> be the ...
AbstractWeakest linear conditions on the rows of a square matrix of arbitrary dimension to ensure th...
AbstractWe establish an upper bound for the absolute value of the determinant of the Hadamard (eleme...
AbstractWe estimate the difference of determinants of two square matrices in terms of the norms of t...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
AbstractSharp lower bounds for the determinant and the trace of a certain class of hermitian matrice...
We derive a lower bound on determinants, utilizing a theorem of linear programming. Let l and u be p...
Elsner L. Bounds for determinants of perturbed M-matrices. Linear Algebra and its Applications. 1997...
AbstractLet be an arithmetical function and S = x1, xn a set of distinct positive integers. Let ((xi...
AbstractThis paper studies bounds for the modulus and the argument of the determinant of certain str...
In this paper, we study the class of relatively $D$-stable matrices and provide the conditions, suff...
This article evaluates the determinants of two classes of special matrices, which are both from a nu...
AbstractA sharp upper bound for the relative error of the determinant of an M-matrix in terms of the...
et D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/nn/2 be the ratio of D(n...
Let D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/n<sup>n/2</sup> be the ...
AbstractWeakest linear conditions on the rows of a square matrix of arbitrary dimension to ensure th...
AbstractWe establish an upper bound for the absolute value of the determinant of the Hadamard (eleme...
AbstractWe estimate the difference of determinants of two square matrices in terms of the norms of t...