Non-negative least squares and the Tikhonov regularization methods for coil design problems

In this work, the problem of constrained coil design is studied. Two approaches to this problem, namely the non-negative least squares method (NNLSQ) and the Tikhonov regularization technique, are compared. Several one-dimensional and two-dimensional examples are considered. It is shown that the constrained LSQ method outperforms the Tikhonov regularization based approach both in terms of the quality of the solution and computation time.