Methods and systems are provided for increasing a temperature of a catalyst of an engine by operating the engine in a split lambda catalyst heating mode. In one example, a method may include, while operating an engine in a split lambda catalyst heating mode, adjusting a magnitude of a lambda split between a rich set of combustion events and a lean set of combustion events based on soot formation in the rich set of combustion events. In this way, catalyst temperature may be increased while maintaining engine efficiency and preventing soot formation in the cylinders.