International
Tables for Crystallography Volume F Crystallography of biological macromolecules Edited by M. G. Rossmann and E. Arnold © International Union of Crystallography 2006 |
International Tables for Crystallography (2006). Vol. F. ch. 16.2, p. 348
Section 16.2.3.4. The crystallographic maximum-entropy formalism
aLaboratory of Molecular Biology, Medical Research Council, Cambridge CB2 2QH, England |
It is possible to solve explicitly the maximum-entropy equations (ME1) to (ME3) derived in Section 16.2.2.4 for the crystallographic case that has motivated this study, i.e. for the purpose of constructing
from the knowledge of a set of trial structure-factor values
. These derivations are given in §3.4 and §3.5 of Bricogne (1984)
. Extensive relations with the algebraic formalism of traditional direct methods are exhibited in §4, and connections with the theory of determinantal inequalities and with the maximum-determinant rule of Tsoucaris (1970)
are studied in §6, of the same paper. The reader interested in these topics is invited to consult this paper, as space limitations preclude their discussion in the present chapter.
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