01 - Remove the steaks from the refrigerator 20 minutes before cooking to bring them to room temperature. Pat both sides thoroughly dry with paper towels to ensure a proper sear.
02 - Season both sides of each steak generously with salt and freshly ground black pepper, pressing the seasonings gently into the surface.
03 - Heat the olive oil in a heavy skillet, preferably cast iron, over high heat until the oil just begins to shimmer and the pan is very hot.
04 - Carefully place the steaks in the skillet and sear for 2 to 3 minutes per side until a deep golden-brown crust forms across the surface.
05 - Reduce the heat to medium. Add the butter, minced garlic, and rosemary sprigs to the pan, allowing the butter to melt and begin foaming.
06 - Tilt the pan slightly and use a large spoon to continuously baste the steaks with the foaming garlic butter for 2 to 3 minutes, spooning it over the top repeatedly. Cook until the desired doneness is reached; for medium-rare, aim for an internal temperature of 130°F.
07 - Transfer the steaks to a warm plate and let them rest for 5 minutes to allow the juices to redistribute before slicing and serving.