Numerical Bounds for Inverses of Linear Operators
Publications de l'Institut Mathématique, _N_S_67 (2000) no. 81, p. 85
An effective way of computing bounds for inverses of linear
operators is discussed. It involves computing very fast a bound for the
inverse of linear Volterra and Fredholm integral operators. This
approach covers a wide class of ordinary and partial initial and
boundary value problems. It is demonstrated that this concept is
feasible in the framework of computer algebra systems.
Classification :
45L10 65G10
Keywords: Numerical bounds, inverse operator, computer algebra system
Keywords: Numerical bounds, inverse operator, computer algebra system
@article{PIM_2000_N_S_67_81_a7,
author = {H.-J. Dobner},
title = {Numerical {Bounds} for {Inverses} of {Linear} {Operators}},
journal = {Publications de l'Institut Math\'ematique},
pages = {85 },
year = {2000},
volume = {_N_S_67},
number = {81},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2000_N_S_67_81_a7/}
}
H.-J. Dobner. Numerical Bounds for Inverses of Linear Operators. Publications de l'Institut Mathématique, _N_S_67 (2000) no. 81, p. 85 . http://geodesic.mathdoc.fr/item/PIM_2000_N_S_67_81_a7/