id: 03924081
dt: a
an: 03924081
au: Smith, C.Ray; Inguva, Ramarao; Morgan, R.L.
ti: Maximum-entropy inverses in physics.
so: Inverse problems, Proc. Symp. Appl. Math., New York 1983, SIAM-AMS Proc.
    14, 127-137 (1984).
py: 1984
pu: 
la: EN
cc: 
ut: Bibliography; inverse problems; maximum entropy; ill-posed problems;
    Lagrange multipliers; partition functional; time-series analysis
ci: Zbl 0534.00010
li: 
ab: [For the entire collection see Zbl 0534.00010.] The authors explain maximum
    entropy as a method to solve ill-posed problems, especially operator
    equations of the first kind. The entropy $H(f)=-\int f(s)\log f(s)ds$
    is maximized for all f solving a linear Fredholm integral equation of
    the first kind. A solution is given in terms of Lagrange multipliers
    and a so-called partition functional. Also a discrete problem from
    time-series analysis is presented. Finally the paper contents a long
    bibliography. Comments on the performance and comparison with other
    methods are not made.
rv: A.K.Louis