A non-volatile memory device organized with memory cells arranged by rows and columns in a matrix structure comprising source lines for memory cell groups. A switch is set between at least two rows or columns or source lines, which has two no pilotable terminals connected respectively to each one of the two rows or columns or source lines and a pilotable terminal connected to a logic circuitry. The switch allows a precharge of one of the two rows or columns or source lines by capacitive means associated to a each one of the two rows or columns or source lines after the other of the two rows or columns or source lines is connected to a higher voltage than that of said one of the two rows or columns or source lines.