The phrase "an uncompromising approach" is correct and usable in written English.
It can be used when describing a method or attitude that does not allow for any concessions or flexibility.
Example: "The team adopted an uncompromising approach to quality control, ensuring that every product met the highest standards."
Alternatives: "a rigid approach" or "a strict methodology."
When Mohammed Morsi, the Muslim Brotherhood's candidate, won Egypt's 2012 presidential election, he took an uncompromising approach to pursuing the group's Islamist agenda, sparking mass protests.
Known for an uncompromising approach to theatre, she uncovers the bones of the play, heightening rather than trying to disguise its emblematic, morality-play crudeness.
Algeria takes an uncompromising approach to terrorist attacks.That battle, along with the escalating war in neighbouring Mali (see article), has raised the spectre of a new jihadism spreading across Africa.
The Trump administration remains divided internally between officials who want to take an uncompromising approach toward China — allying the European Union and other trading partners in a united front — and those who favor cutting some kind of deal.
And some networks were chafing at what the executives at all three described as an uncompromising approach to when and where Mr. Obama would grant the anchor interviews, which are to take place outside the war zone.
Jacob Rees-Mogg has urged Theresa May to revive her threat to leave the EU without a deal if Brussels continues to take an uncompromising approach in the Brexit negotiations.
He launched his debut album with a series of interwoven videos in which two male lovers confront homophobic parents, repression and suicide – an unusually uncompromising approach to the pop mainstream.
For the United States's part, while it has hewn closer its ANZUS partners than China, U.S. diplomats have tried to forge something of a middle ground by adopting a less uncompromising approach to sanctions and generally look for areas -- like crisis response and human trafficking -- through which to engage Fiji.
The term Thatcherism came to refer not just to these policies but also to certain aspects of her ethical outlook and personal style, including moral absolutism, fierce nationalism, a zealous regard for the interests of the individual, and a combative, uncompromising approach to achieving political goals.
Without a broad, uncompromising approach to improve public schools everywhere for all students, those who need the most help will end up, as usual, with the least opportunity.
He rebelled against the religious and political authorities by proposing an unusual and uncompromising approach to the Christian faith.
