The phrase "uncompromising approach" means sticking firmly to one's beliefs or principles without making any concessions or adjustments. Full definition
The presence of Andy Carroll was enough to terrier - ise Huddersfield but the Baggies uncompromising approach to defending is unlikely to be as easily rattled. (westhamway.net)
But it is in keeping with his promise of a more «muscular liberalism» in which the Lib Dems adopt a more confrontational, uncompromising approach with the Conservatives. (politics.co.uk)
Although not as overtly grisly as the outback horror Wolf Creek by Greg Mclean, the two films share a confidently uncompromising approach to pacing and a deft hand when it comes to cranking up narrative tension. (theguardian.com)