The 35-year-old McIlroy arrived at the year's first major, where in 2011 he blew a four-shot lead on the back nine, seeking his first major since August 2014 to end a barren run that came with its fair share of near misses.
World number three Rory McIlroy, eyeing a comeback next week from injury, continued his tune-up with a round with US President Donald Trump in south Florida on Sunday, it was reported.
Woods said amputation "was on the table" during the three-week hospital recovery in California.
The British Open will end on a Monday for the first time since the late Seve Ballesteros won at Royal Lytham in 1988 after high winds caused havoc on Saturday.
"I hope they both become ultra successful because at the end of the day, they will be humbled very quickly. If you become successful you cannot carry on like this.
Rory McIlroy will do jigsaw puzzles to kill the time before the opening round at the Masters on Thursday, but finding the final piece to a career grand slam is upper-most on the Northern Irishman's mind.
American Zach Johnson claimed the second major triumph of his career after winning a four-hole playoff at the end of a captivating, cliffhanger of a final round in the British Open on Monday.
A summary of sports events and persons who made news on Monday
Rory McIlroy and Tiger Woods dominated the build-up to this week's Masters but it was exciting American Jordan Spieth who produced the fireworks in a gripping opening round at Augusta National on Thursday.
Justin Rose produced remarkable poise and a Ben Hogan-like finish to win his first major title by two shots at the U.S. Open on Sunday after overhauling 54-hole leader Phil Mickelson in the final round.
Did you know the world's youngest director is an Indian?
A summary of sports events and sports persons, who made news on Monday