Luxemburgo replaces Abel Braga, whose team lost five games in a row to see him lose his job.
Former Brazil and Real Madrid coach Luxemburgo has won five Brazilian titles, with Corinthians, Cruzeiro, Santos and Palmeiras (twice).
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.