Matrix headlamp for motor vehicles, the matrix headlamp comprising - at least two LED branches (Z1, Z2, Zn), each of which has a series connection of LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LED3x), - controlled switches (S11...S1x; S21...S2x; Sn1...Snx), wherein at least one LED of each branch can be bypassed by one of the controlled switches (S11...S1x; S21...S2x; Sn1...Snx), - buck converters (T1, T2, Tn), wherein each LED branch (Z1, Z2, Zn) is supplied by one of the buck converters (T1, T2, Tn) assigned to it, wherein the buck converters are designed as constant current sources and are connected on the input side to a common intermediate circuit voltage (Uz), - wherein the intermediate circuit voltage (Uz) is generated by a voltage supply connected to an input voltage (Ue), characterized in that the matrix headlamp comprises a control unit which, as a function of the desired light image, activates the switches (511... S1x; S21...S2x; Sn1...Snx) as a function of the desired light image, the switching times of the LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LEDnx) of a branch being uniformly offset in time relative to one another within a PWM period, in that the control unit has a memory and a matrix IC, in which memory an assignment of the LEDs (LED11... LED1x; LED21...LED2x; LEDn1...LEDnx) of the matrix headlight is stored by the LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LEDnx) to spatial angles to be illuminated, in that the control unit is supplied with request signals (d) relating to a desired light image, and the control unit is set up to determine from the information originating from the memory relating to the assignment of the LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LEDnx) to the solid angles in combination with information present in the matrix IC of the assignment of the LEDs to their respective activated switches (S11... S1x; S21...S2x; Sn1... Snx) and their duty cycle, which determines the brightness of the individual LEDs, to calculate the maximum number of active LEDs of each branch (Z1, Z2, Zn) and thus also the maximum occurring flux voltage of these branches (Z1, Z2, Zn) and from this to determine the LED branch with the most active LEDs, which branch specifies the minimum necessary DC link voltage (Uz) and to supply the information relating to the LED branch determining the minimum necessary DC link voltage (Uz) as a command signal (b) to the power supply in order to dynamically adjust the power supply to output the minimum necessary DC link voltage (Uz). - at least two LED branches (Z1, Z2, Zn), each of which has a series connection of LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LED3x), - controlled switches (S11...S1x; S21...S2x; Sn1...Snx), wherein at least one LED of each branch can be bypassed by one of the controlled switches (S11...S1x; S21...S2x; Sn1...Snx), - buck converters (T1, T2, Tn), wherein each LED branch (Z1, Z2, Zn) is supplied by one of the buck converters (T1, T2, Tn) assigned to it, wherein the buck converters are designed as constant current sources and are connected on the input side to a common intermediate circuit voltage (Uz), - wherein the intermediate circuit voltage (Uz) is generated by a voltage supply connected to an input voltage (Ue), characterized in that the matrix headlamp comprises a control unit which, as a function of the desired light image, activates the switches (511... S1x; S21...S2x; Sn1...Snx) as a function of the desired light image, the switching times of the LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LEDnx) of a branch being uniformly offset in time relative to one another within a PWM period, in that the control unit has a memory and a matrix IC, in which memory an assignment of the LEDs (LED11... LED1x; LED21...LED2x; LEDn1...LEDnx) of the matrix headlight is stored by the LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LEDnx) to spatial angles to be illuminated, in that the control unit is supplied with request signals (d) relating to a desired light image, and the control unit is set up to determine from the information originating from the memory relating to the assignment of the LEDs (LED11...LED1x; LED21...LED2x; LEDn1...LEDnx) to the solid angles in combination with information present in the matrix IC of the assignment of the LEDs to their respective activated switches (S11... S1x; S21...S2x; Sn1... Snx) and their duty cycle, which determines the brightness of the individual LEDs, to calculate the maximum number of active LEDs of each branch (Z1, Z2, Zn) and thus also the maximum occurring flux voltage of these branches (Z1, Z2, Zn) and from this to determine the LED branch with the most active LEDs, which branch specifies the minimum necessary DC link voltage (Uz) and to supply the information relating to the LED branch determining the minimum necessary DC link voltage (Uz) as a command signal (b) to the power supply in order to dynamically adjust the power supply to output the minimum necessary DC link voltage (Uz).