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- R. de Maria, F. Schmidt, P. K. Skowronski
CERN, Geneva
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A new matching algorithm and a new matching mode have been developped for MadX in order to increase its potentialities. The new algorithm (JACOBIAN) is able to solve a generalized matching problem with an arbitrary number of variables and constraints, aiming to solve the corresponding least square problem. The new mode (USE\MACRO) allows the user to construct his own macros and expressions for the definition of the constraints. The new algorithm and the new mode where succesfully used for finding optic transitions, tunability charts and non-linear chromaticity correction. They can be used as a general tool for solving inverse problems which can be defined in MadX using all the available modules (twiss, ptc,track, survey, aperture, etc).
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