The instability of matrix inversion algorithms, when applied to radiance data of limited accuracy, is well known. Constraints of one kind or another are required to counter this tendency and to yield physically meaningful temperature profiles. Differential inversion avoids this instability by relating the temperature inferred at a particular pressure to the local behavior of the radiance profile at the conjugate pressure level (principle of local causation).
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- Differential Inversion and the Limits of Objective Temperature Inferencing
Jean I. F. King
- American Meteorological Society