Numerical Bounds for Inverses of Linear Operators
Publications de l'Institut Mathématique, _N_S_67 (2000) no. 81, p. 85
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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
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     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/}
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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/