This paper deals with the solution of linear inverse problems in magnetosta
tics. The case the authors have broached is finding the current density on
the basis of magnetic field values. Solving this kind of equation is an ill
-posed problem. Exact magnetic held values and measured values lead to diff
erent cases, each of which is presented. To solve them, the authors use the
conjugate gradient method with iterative regularization. They present nume
rical results for the design of magnets, gradient and shim coils, and numer
ical results for the problem of recovering current density values from meas
ured held values.