We define the condition operators and the condition numbers associated with a well-posed generalized eigenvalue problem, and we study the relationship between the condition numbers and the distance to the ill-posed problems.
%0 Journal Article
%1 dedieu1997condition
%A Dedieu, Jean-Pierre
%D 1997
%J Linear Algebra and its Applications
%K 15a12-conditioning-of-matrices 15a18-eigenvalues-singular-values-and-eigenvectors
%P 1 - 24
%R 10.1016/S0024-3795(96)00366-7
%T Condition operators, condition numbers, and condition number theorem for the generalized eigenvalue problem
%U http://www.sciencedirect.com/science/article/pii/S0024379596003667
%V 263
%X We define the condition operators and the condition numbers associated with a well-posed generalized eigenvalue problem, and we study the relationship between the condition numbers and the distance to the ill-posed problems.
@article{dedieu1997condition,
abstract = {We define the condition operators and the condition numbers associated with a well-posed generalized eigenvalue problem, and we study the relationship between the condition numbers and the distance to the ill-posed problems.},
added-at = {2020-07-09T05:53:55.000+0200},
author = {Dedieu, Jean-Pierre},
biburl = {https://www.bibsonomy.org/bibtex/24150720314259ae1e6f0feed39f8e323/gdmcbain},
doi = {10.1016/S0024-3795(96)00366-7},
interhash = {659a8c81b2054d4f7abebe1c00ffcd36},
intrahash = {4150720314259ae1e6f0feed39f8e323},
issn = {0024-3795},
journal = {Linear Algebra and its Applications},
keywords = {15a12-conditioning-of-matrices 15a18-eigenvalues-singular-values-and-eigenvectors},
pages = {1 - 24},
timestamp = {2020-07-09T05:53:55.000+0200},
title = {Condition operators, condition numbers, and condition number theorem for the generalized eigenvalue problem},
url = {http://www.sciencedirect.com/science/article/pii/S0024379596003667},
volume = 263,
year = 1997
}