Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion
نویسندگان
چکیده
The aim of physical sciences is to discover the minimal set of parameters which completely describe physical systems and the laws relating the values of these parameters to the results of any set of measurements on the system. A coherent set of such laws is named a physical theory. To the extent that the values of the parameters can only be obtained as a results of measurements, one may equivalently consider that physical theories impose some relationships between the results of some measurements. Theoretical relationships are often functional relationships, exactly relating the values of the parameters to the results of the measurements. Sometimes, theoretical relationships are probabilistic, as in geophysics when some property of the earth is statistically described, or as in quantum mechanics, where the probabilistic description of the results of the measurements
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