Rose won the Memorial Tournament in Ohio in June, 2010
-7 J Rose (Eng) -6 J Day (Aus) C Wi (South Korea)-4 C Hoffman (US), J Overton (US) Selected others: -3 L Westwood (Eng), I Poulter (Eng), O Wilson (Eng) +3 T Woods (US)
England's Justin Rose leads the AT&T National by one shot after the second round in Pennsylvania.
Rose, 29, carded a six-under 64 and is seven under for the tournament, one shot clear of Australia's Jason Day and South Korean Charlie Wi.
Tiger Woods just made the halfway cut after finishing with an even par 70 to record a three-over 143 halfway total.
"I've just got to put together two good rounds and see where that leaves me," Woods said afterwards.
"Greg [Norman] always said if you started six back on Sunday you could still win and that's certainly within reason."
Woods shot a respectable even-par 70 in the second round on the demanding Aronimink course but missed a putt from barely two feet at the eighth.
"If you don't make putts, no matter how good you hit the ball, you're not going to shoot good scores," he added.
"For some reason today I couldn't release the blade and couldn't get the toe moving. I have to work on that."
Woods' fellow American Jeff Overton picked up three birdies but dropped a shot on his final hole for a second successive two-under 68 to move to four under for the tournament alongside Charley Hoffman in a tie for fourth.
It has also been confirmed by tour officials that Woods has officially entered the US PGA Championship, the season's fourth major.
The American finished second at the event last year, surrendering a two-shot lead to South Korean Yang Yong-eun in the final round.
Meanwhile Rose, who relinquished a three-shot advantage on the final day of the Travelers Championship in Connecticut last week, put that disappointment behind him with his bogey-free 18 holes.
"I think mentally, probably, it was one of my better rounds of golf," Rose said.
"It just felt very patient. Even when I didn't hit a good shot, I accepted it. I didn't try to force the issue and get bullied by the golf course. So from that perspective things clicked today."
American pair Charley Hoffman (67) and Jeff Overton (68) were three strokes off the pace with world number 14 Robert Allenby, of Australia, one of eight players tied for sixth a further shot back.
Day's fellow first-round leaders Nick Watney (71), Arjun Atwal (72) and Joe Ogilvie (72) slipped down the leaderboard after failing to match their Thursday exploits.