YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • AMS
    • Journal of the Atmospheric Sciences
    • View Item
    •   YE&T Library
    • AMS
    • Journal of the Atmospheric Sciences
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    Sensitivity of Constrained Linear Inversions to the Selection of the Lagrange Multiplier

    Source: Journal of the Atmospheric Sciences:;1982:;Volume( 039 ):;issue: 006::page 1356
    Author:
    King, Michael D.
    DOI: 10.1175/1520-0469(1982)039<1356:SOCLIT>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The sensitivity of constrained linear inversions to the selection of the Lagrange multiplier is demonstrated for the can of inferring columnar aerosol size distributions from spectral aerosol optical depth measurements. Since negative values of the aerosol size distribution constitute an unphysical solution, the Lagrange multiplier is varied within a restricted range until a range of values is reached for which all elements of the solution vector are positive. In addition to the constraint that the solution vector be positive, it is necessary for the final solution to be a smooth function and to satisfy the original integral equation to within the noise level of the measurements. An iterative method is presented whereby an initial estimate of the size distribution is modified until the final solution satisfies both the positivity constraint and the requirement that the regression fit to the data using the inverted size distribution he consistent with the measurement errors. A formula for calculating the variances and covariances in the inversion solution is derived and applied to optical depth measurements obtained at the University of Arizona and at Goddard Space Flight Center. In the former case an estimate of the measurement errors is available and thus the inversion formula and error analysis explicitly includes the magnitudes of the measurement variances. In the latter case the measurement errors are not known and the analysis assumes the errors in the measurements are equal and uncorrelated. Results of the error analysis show that the variances in the solution vector are large for radii where the information content of the measurements is small.
    • Download: (1.823Mb)
    • Show Full MetaData Hide Full MetaData
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      Sensitivity of Constrained Linear Inversions to the Selection of the Lagrange Multiplier

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4154375
    Collections
    • Journal of the Atmospheric Sciences

    Show full item record

    contributor authorKing, Michael D.
    date accessioned2017-06-09T14:23:11Z
    date available2017-06-09T14:23:11Z
    date copyright1982/06/01
    date issued1982
    identifier issn0022-4928
    identifier otherams-18377.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4154375
    description abstractThe sensitivity of constrained linear inversions to the selection of the Lagrange multiplier is demonstrated for the can of inferring columnar aerosol size distributions from spectral aerosol optical depth measurements. Since negative values of the aerosol size distribution constitute an unphysical solution, the Lagrange multiplier is varied within a restricted range until a range of values is reached for which all elements of the solution vector are positive. In addition to the constraint that the solution vector be positive, it is necessary for the final solution to be a smooth function and to satisfy the original integral equation to within the noise level of the measurements. An iterative method is presented whereby an initial estimate of the size distribution is modified until the final solution satisfies both the positivity constraint and the requirement that the regression fit to the data using the inverted size distribution he consistent with the measurement errors. A formula for calculating the variances and covariances in the inversion solution is derived and applied to optical depth measurements obtained at the University of Arizona and at Goddard Space Flight Center. In the former case an estimate of the measurement errors is available and thus the inversion formula and error analysis explicitly includes the magnitudes of the measurement variances. In the latter case the measurement errors are not known and the analysis assumes the errors in the measurements are equal and uncorrelated. Results of the error analysis show that the variances in the solution vector are large for radii where the information content of the measurements is small.
    publisherAmerican Meteorological Society
    titleSensitivity of Constrained Linear Inversions to the Selection of the Lagrange Multiplier
    typeJournal Paper
    journal volume39
    journal issue6
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/1520-0469(1982)039<1356:SOCLIT>2.0.CO;2
    journal fristpage1356
    journal lastpage1369
    treeJournal of the Atmospheric Sciences:;1982:;Volume( 039 ):;issue: 006
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian