Direct methods of minimization in the problem of estimating the measure of incompatibility of operator equations. (English. Russian original) Zbl 0841.65040

Comput. Math. Math. Phys. 35, No. 2, 227-235 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 2, 282-293 (1995).
Summary: The use of direct gradient algorithms of minimization in the method of the least estimate of a discrepancy used to regularize computations of the measure of incompatibility of operator equations of the first kind is investigated. Computer results of the use of the method are given.


65J10 Numerical solutions to equations with linear operators
65J20 Numerical solutions of ill-posed problems in abstract spaces; regularization
47A50 Equations and inequalities involving linear operators, with vector unknowns