International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by G. Chapuis

International Tables for Crystallography (2023). Vol. B. ch. 1.1,

Figure 2 

Lukáš Palatinusa*

aInstitute of Physics of the CAS, v.v.i., Na Slovance 2, 182 21 Prague, Czechia
Correspondence e-mail: [email protected]

[Figure 2]
Figure 2

Convergence of selected dual-space algorithms on a two-dimensional example. (a) Two convex constraint sets with intersection. (b) Two non-convex constraint sets with several intersections. (c) Two non-convex constraint sets without intersection (unfeasible problem). All iterations start from the same point in the right-hand part of the plots. Symbols represent the actual iterates, the dotted lines connect consecutive iterates. ER = error-reduction algorithm (13)link to equation, CFA = charge flipping algorithm (14)link to equation, AAR = averaged alternating reflections (21)link to equation, RAAR = relaxed averaged alternating reflections (24)link to equation, DM = difference map [(20)link to equation, with γM = β−1, γD = −β−1].