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 Results for DC.creator="P." AND DC.creator="Main" in section 15.1.5 of volume F
The diagonal approximation
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.5.2.3, pp. 397-398 [ doi:10.1107/97809553602060000847 ]
... of solution to the electron-density shift in equation (15.1.5.4) (Main, 1990b). As with the full-matrix calculation, it can ... approximation much faster than by the full-matrix method. References Main, P. (1990b). The use of Sayre's equation with ...

The full-matrix solution
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.5.2.2, p. 397 [ doi:10.1107/97809553602060000847 ]
... International Tables for Crystallography (2012). Vol. F, ch. 15.1, p. 397 International Union of Crystallography 2012 | home | resources | advanced search ...

The conjugate-gradient method
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.5.2.1, p. 397 [ doi:10.1107/97809553602060000847 ]
... International Tables for Crystallography (2012). Vol. F, ch. 15.1, p. 397 International Union of Crystallography 2012 | home | resources | advanced search ...

Least-squares solution to the system of nonlinear constraint equations
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.5.2, pp. 396-398 [ doi:10.1107/97809553602060000847 ]
... of solution to the electron-density shift in equation (15.1.5.4) (Main, 1990b). As with the full-matrix calculation, it can ... approximation much faster than by the full-matrix method. References Main, P. (1990b). The use of Sayre's equation with ...

The system of nonlinear constraint equations
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.5.1, p. 396 [ doi:10.1107/97809553602060000847 ]
... be obtained by solving the systems of simultaneous equations (Zhang & Main, 1990b) Equation (15.1.5.2) represents a system of nonlinear simultaneous equations ... with fast Fourier transforms, as described in the next section (Main, 1990b). References Main, P. (1990b). The use of Sayre's equation ...

Combining constraints for phase improvement
Zhang, K. Y. J., Cowtan, K. D. and Main, P.  International Tables for Crystallography (2012). Vol. F, Section 15.1.5, pp. 396-398 [ doi:10.1107/97809553602060000847 ]
... all the constraints is obtained by a global minimization procedure (Main, 1990b; Zhang & Main, 1990b). 15.1.5.1. The system of nonlinear constraint equations | | The ... be obtained by solving the systems of simultaneous equations (Zhang & Main, 1990b) Equation (15.1.5.2) represents a system of nonlinear simultaneous ...

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