The problem of estimating temperature profiles in the atmosphere based on remote radiation measurements is usually stated as an integral equation of the first kind. Such an equation may be difficult to solve. This report shows that it is sensible to state the problem as a system identification problem. Quasilinearization is a feasible method of solution, illustrated by numerical examples. This approach makes use of the digital computer's ability to solve initial value (Cauchy) problems. It is important, in the new approach, either to avoid linear algebraic equations completely or to improve the ease with which they can be solved. Several methods have potentially direct effects on the integral equation of the first kind. Future work on new approaches to the temperature inversion problem is discussed.
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