Add to ORKGIn this paper, we study the sensitivity and second order perturbation expansions of simple nonzero finite generalized singular values of a complex matrix pair, which is analytically dependent on several parameters. Our results generalize the perturbation analysis given by Sun [J. Comput. Math., 6 (1988), pp. 258–266] for simple nonzero singular values
We study how singular values and singular vectors of a matrix A change, under matrix perturbations o...
We give the review of recent results in relative perturbation theory for eigenvalue and singular val...
The stability robustness of the generalized eigenvalues of matrix pairs with real perturbations is c...
National Natural Science Foundation of China [11271308]; Natural Science Foundation of Fujian Provin...
The singular values of a perturbed complex-valued matrix A+epsilon B + O(epsilon2) are shown to have...
Abstract. We study the sensitivity of the solution of a general type matrix equation Q ± AHXpA −X = ...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
AbstractIn this note a variant of the classical perturbation theorem for singular values is given. T...
AbstractAn expansion for the square of the smallest singular value of a matrix is presented. The exp...
This paper is devoted to the perturbation analysis for the matrix sign functions of the regular matr...
Abstract Rank-one perturbation of arbitrary matrices has many practical applications. In this paper,...
AbstractThis paper gives SVD perturbation bounds and expansions that are of use when an m×n, m⩾n mat...
this paper is for you! We present error bounds for eigenvalues and singular values that can be much ...
AbstractWe give relative perturbation bounds for singular values and perturbation bounds for singula...
AbstractA singular matrix A is perturbed algebraically to obtain a nonsingular matrix B. Particular ...
We study how singular values and singular vectors of a matrix A change, under matrix perturbations o...
We give the review of recent results in relative perturbation theory for eigenvalue and singular val...
The stability robustness of the generalized eigenvalues of matrix pairs with real perturbations is c...
National Natural Science Foundation of China [11271308]; Natural Science Foundation of Fujian Provin...
The singular values of a perturbed complex-valued matrix A+epsilon B + O(epsilon2) are shown to have...
Abstract. We study the sensitivity of the solution of a general type matrix equation Q ± AHXpA −X = ...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
AbstractIn this note a variant of the classical perturbation theorem for singular values is given. T...
AbstractAn expansion for the square of the smallest singular value of a matrix is presented. The exp...
This paper is devoted to the perturbation analysis for the matrix sign functions of the regular matr...
Abstract Rank-one perturbation of arbitrary matrices has many practical applications. In this paper,...
AbstractThis paper gives SVD perturbation bounds and expansions that are of use when an m×n, m⩾n mat...
this paper is for you! We present error bounds for eigenvalues and singular values that can be much ...
AbstractWe give relative perturbation bounds for singular values and perturbation bounds for singula...
AbstractA singular matrix A is perturbed algebraically to obtain a nonsingular matrix B. Particular ...
We study how singular values and singular vectors of a matrix A change, under matrix perturbations o...
We give the review of recent results in relative perturbation theory for eigenvalue and singular val...
The stability robustness of the generalized eigenvalues of matrix pairs with real perturbations is c...