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TPS61030: Booster and Buck Converter

Part Number: TPS61030

Hello ,
I have a main power supply from 8 to 32 volts. A DC/DC converter supplies 4.2 volts. If the main supply fails, the battery must supply the device further. The battery has only 2 to 3 V operating voltage and must boost with a booster the voltage to 4.2 Volt.
Can there be problems when the 2 DC / DC converters work together? Schottky diode separation has too high losses. What can I do?