Numerical bounds for inverses of linear operators. (English) Zbl 1265.65267

Dobner, H.-J.

Publ. Inst. Math., Nouv. Sér. 67(81), 85-91 (2000).

Summary: 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.

MSC:

65R20	Numerical methods for integral equations
45P05	Integral operators
68W30	Symbolic computation and algebraic computation
45B05	Fredholm integral equations
45D05	Volterra integral equations
45A05	Linear integral equations

Keywords:

computer algebra system; bounds for inverses; linear Volterra and Fredholm integral operators

Software:

PASCAL-XSC; INTPAK