V. G. Glavny, A. V. Penenko, S. V. Dvoynishnikov, “On a statistical estimate of the operator error in linear equation system arising in the calibration problem for laser thickness measurements of hot metal sheet”, Sib. Èlektron. Mat. Izv., 2013, Volume 10,Pages <nobr>C.16

Proceedings of conferences

On a statistical estimate of the operator error in linear equation system arising in the calibration problem for laser thickness measurements of hot metal sheet

V. G. Glavny^a, A. V. Penenko^b, S. V. Dvoynishnikov^a

^a Institute of Thermophysics, Siberian Branch of the Russian Academy of Science
^b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: The problem for contactless thickness measurements of hot metal sheet has been considered. Measurement device calibration problem with the set of thickness measurements has been posed. The calibration problem has been recast to the linear ill-conditioned system $A_hx=b_\delta$ with both inaccurate matrix $A_h$ and right-hand side $b_\delta$. A method for estimation of operator error has been proposed.

Keywords: linear inverse problem, operator error, statistical estimation, laser thickness measurements, thickness gauge of metal sheet products.

UDC: 519.6

MSC: 65J20

Received February 1, 2013, published May 31, 2013