Algorithm for solving unstable systems of linear equations by regularization method
1991-1992, project: me & my father (he was developing test model), 2 developers
result: written & tested, not implemented at blast furnace
OS/Hardware: DOS/PC; languages: C; tools: TC 2.0
Original task at blast furnace is the optimal control of gas flow. The key problem is that measured data for determining optimum gas flow is changed very slow and these changes are within measurement error. So this situation produces unstable systems of linear equations to get gas flow control.
Used algorithm is the part of A.N.Tikhonov’s work on regularization of ill-posed problems.
This program solves system of linear equations (20 variables, 3000 equations) with solution error about 10-20% while the same system solved by least-squares method gives error about 3000% (3 thousands %) – tested on model.