The invention relates to a grinding machine tool comprising a machine control device which initially determines the wobbling of a blank (7) in relation to the ideal receiving axis (C) of tool receiving element by means of a suitable measuring device comprising, for example, a sensor (9) and a measuring module. When the blank (7) and/or tool are ground, said wobbling is taken into account and compensated, i.e. the grinding tools track a wobbling tool such that the tool is machined true to size and in a concentric manner.