Estimates of the Solutions of Operator Equations Under Uncertainty

The paper focuses on finding the guaranteed estimates for rectangular matrices that satisfy the linear operator equations with unknown right-hand sides. Under certain assumptions, it is shown that guaranteed estimates of matrices can be found as the solutions to systems of operator equations. In the case where observation data are given with deterministic errors, which belong to certain bounded sets, we obtain the expressions for upper and lower bounds of the solutions of such equations, as well as expressions for the upper and lower errors of such bounds. The obtained results are illustrated by a test example.