DOIAbstract
AbstractAn expansion for the square of the smallest singular value of a matrix is presented. The expansion includes second order terms in the pertubation and therefore remains accurate when the smallest singular value is zero
AbstractAn expansion for the square of the smallest singular value of a matrix is presented. The expansion includes second order terms in the pertubation and therefore remains accurate when the smallest singular value is zero
AbstractWe develop first order eigenvalue expansions of one-parametric perturbations of square singu...
AbstractA lower bound for the smallest singular value of Aϵnxn is given in terms of the determinant ...
AbstractBy using sufficient conditions which ensure the well conditioning of tridiagonal matrices, w...
AbstractAn expansion for the square of the smallest singular value of a matrix is presented. The exp...
AbstractThis paper gives SVD perturbation bounds and expansions that are of use when an m×n, m⩾n mat...
In this paper, we study the sensitivity and second order perturbation expansions of simple nonzero f...
By using sufficient conditions which ensure the well conditioning of tridiagonal matrices, we derive...
National Natural Science Foundation of China [11271308]; Natural Science Foundation of Fujian Provin...
AbstractIn this note a variant of the classical perturbation theorem for singular values is given. T...
AbstractA new O(n2) algorithm for estimating the least singular value of a matrix is presented. It i...
AbstractThis paper studies the asymptotic behavior of singular perturbations for systems of second o...
AbstractSome simple estimation theorems for singular values of a rectangular matrix A are given. The...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
The singular values of a perturbed complex-valued matrix A+epsilon B + O(epsilon2) are shown to have...
This paper concerns a quantity which is equal to the norm of the smallest structured perturbation to...
AbstractWe develop first order eigenvalue expansions of one-parametric perturbations of square singu...
AbstractA lower bound for the smallest singular value of Aϵnxn is given in terms of the determinant ...
AbstractBy using sufficient conditions which ensure the well conditioning of tridiagonal matrices, w...
AbstractAn expansion for the square of the smallest singular value of a matrix is presented. The exp...
AbstractThis paper gives SVD perturbation bounds and expansions that are of use when an m×n, m⩾n mat...
In this paper, we study the sensitivity and second order perturbation expansions of simple nonzero f...
By using sufficient conditions which ensure the well conditioning of tridiagonal matrices, we derive...
National Natural Science Foundation of China [11271308]; Natural Science Foundation of Fujian Provin...
AbstractIn this note a variant of the classical perturbation theorem for singular values is given. T...
AbstractA new O(n2) algorithm for estimating the least singular value of a matrix is presented. It i...
AbstractThis paper studies the asymptotic behavior of singular perturbations for systems of second o...
AbstractSome simple estimation theorems for singular values of a rectangular matrix A are given. The...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
The singular values of a perturbed complex-valued matrix A+epsilon B + O(epsilon2) are shown to have...
This paper concerns a quantity which is equal to the norm of the smallest structured perturbation to...
AbstractWe develop first order eigenvalue expansions of one-parametric perturbations of square singu...
AbstractA lower bound for the smallest singular value of Aϵnxn is given in terms of the determinant ...
AbstractBy using sufficient conditions which ensure the well conditioning of tridiagonal matrices, w...
Add to ORKG