Remove the ribeye from refrigerator 30-45 minutes before cooking to reach room temperature.
Pat the steak dry with paper towels and season generously with salt and black pepper on both sides.
Heat a stainless steel or cast-iron skillet or heavy-bottom pan over high heat until very hot.
Add 2 tablespoons of extra-virgin olive oil to the pan.
Place the steak in the hot pan and sear for 3 minutes on each side(don't move it)
Add the butter, crushed garlic and fresh rosemary to the side of the pan.
Baste the steak with the aromatic melted butter mixture for 1 minute on each side.
Remove the steak from the pan, and pour on top the melted butter and garlic. Let it rest for 5 minutes.