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

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

### Software:

PASCAL-XSC; INTPAK