ABSTRACT
Engineers conduct experiments and collect data in the laboratories. To make use of the collected data, these data often need to be fitted with some particularly selected curves. For example, one may want to find a parabolic equation y = c 1 + c 2 x+c 3 x 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429126482/895870a7-d6bd-47c5-9310-bec37b5f2b8c/content/eq96.tif"/> which passes three given points (xi,yi) for i = 1,2,3. This is a problem of exact curve-fit. Or, since knowing in advance that these three points should all fall on a straight line, but the reason that they are not is because of bad calibration of the measuring equipment or because of presence of noises in the testing environment.
