AbstractA backward error analysis of approximate deflation pair systems of generalized eigenvalue problem is presented. The perturbation matrices obtained can be expressed by the residuals of the approximate deflation pair systems. Therefore, the corresponding error bounds with respect to the Frobenius norm and the spectral norm are computable
In this paper, we derive backward error formulas of two approximate eigenpairs of a semisimple eigen...
We perform a backward error analysis of polynomial eigenvalue problems solved via linearization. Thr...
International audienceIn this paper we apply simple GMRES bounds to the nearly singular systems that...
AbstractA backward error analysis of approximate deflation pair systems of generalized eigenvalue pr...
Backward errors and condition numbers are defined and evaluated for eigenvalues and eigenvectors of ...
We examine the behavior of Newton's method in floating point arithmetic, allowing for extended preci...
AbstractWe develop normwise backward errors and condition numbers for the polynomial eigenvalue prob...
The stability robustness of the generalized eigenvalues of matrix pairs with real perturbations is c...
We present a chart of structured backward errors for approximate eigenpairs of singly and doubly str...
Backward error analyses of algorithms for solving polynomial eigenproblems can be "local" or "global...
this paper is for you! We present error bounds for eigenvalues and singular values that can be much ...
Backward error analyses of the application of Householder transformations to both the standard and t...
We present a chart of structured backward errors for approximate eigenpairs of singly and doubly str...
Abstract. In this paper bounds for clusters of eigenvalues of non-selfadjoint matrices are investiga...
Perturbation bounds for the relative error in the eigenvalues of diagonalizable and singular matrice...
In this paper, we derive backward error formulas of two approximate eigenpairs of a semisimple eigen...
We perform a backward error analysis of polynomial eigenvalue problems solved via linearization. Thr...
International audienceIn this paper we apply simple GMRES bounds to the nearly singular systems that...
AbstractA backward error analysis of approximate deflation pair systems of generalized eigenvalue pr...
Backward errors and condition numbers are defined and evaluated for eigenvalues and eigenvectors of ...
We examine the behavior of Newton's method in floating point arithmetic, allowing for extended preci...
AbstractWe develop normwise backward errors and condition numbers for the polynomial eigenvalue prob...
The stability robustness of the generalized eigenvalues of matrix pairs with real perturbations is c...
We present a chart of structured backward errors for approximate eigenpairs of singly and doubly str...
Backward error analyses of algorithms for solving polynomial eigenproblems can be "local" or "global...
this paper is for you! We present error bounds for eigenvalues and singular values that can be much ...
Backward error analyses of the application of Householder transformations to both the standard and t...
We present a chart of structured backward errors for approximate eigenpairs of singly and doubly str...
Abstract. In this paper bounds for clusters of eigenvalues of non-selfadjoint matrices are investiga...
Perturbation bounds for the relative error in the eigenvalues of diagonalizable and singular matrice...
In this paper, we derive backward error formulas of two approximate eigenpairs of a semisimple eigen...
We perform a backward error analysis of polynomial eigenvalue problems solved via linearization. Thr...
International audienceIn this paper we apply simple GMRES bounds to the nearly singular systems that...
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