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Sensitivity of constrained linear inversions to the selection of the Lagrange multiplierThe influence of the choice of the Lagrange multiplier on constrained linear inversions is explored, with reference made to applications in inferring the columnar aerosol size distributions from spectral aerosol optical depth measurements. A range of the Lagrange multiplier is examined to find all positive solutions for the solution vector, which represents modifying factors to the assumed form of the size distribution. An iterative method is devised to constrain the calculations to consideration of only positive quantities and a requirement that the regression fit to data be consistent with measurement errors. The determination of the variances and covariances is formulated and applied to existing data sets for optical depth. Variances in the solution are found to be large for particle radii when the information content of the data is small.
Document ID
19820054762
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
King, M. D.
(NASA Goddard Space Flight Center Laboratory for Atmospheric Sciences, Greenbelt, MD, United States)
Date Acquired
August 10, 2013
Publication Date
June 1, 1982
Publication Information
Publication: Journal of the Atmospheric Sciences
Volume: 39
Subject Category
Geophysics
Accession Number
82A38297
Distribution Limits
Public
Copyright
Other

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