Tiger Woods, whose winless streak was extended to eight PGA Tour events over the weekend, remains comfortably in first. He will be competing in the European Tour's Dubai Desert Classic this coming week.
Phil Mickelson, despite missing the cut at the Nissan Open, held on to second, followed by Ernie Els.
Lee Westwood, who tees it up for the first time in the 2001 campaign at the Dubai Desert Classic this week, jumped two spots to fourth.
Davis Love III finished the Nissan Open plus-four over his last four holes and missed the six-person playoff, but he maintained his fifth-place ranking.
Duval skipped last weekend's tournament near Los Angeles because of fatigue, but he is expected to play in this week's Genuity Championship in Florida.
Colin Montgomerie tied for third in Singapore over the weekend and held on to seventh. Vijay Singh, the winner of the Singapore Masters, stayed at eighth.
Hal Sutton moved up one place to ninth, while Jim Furyk, who will be defending his title this coming week at the Genuity Championship, climbed two notches to round out the top-10.
Darren Clarke fell two positions to 11th and Tom Lehman dropped one to come in at 12th this week.
Nick Price, Sergio Garcia and Jesper Parnevik rounded out the top 15. Michael Campbell and Stewart Cink remained in 16th and 17th, respectively.
Thomas Bjorn and Mike Weir switched rankings from last week with Bjorn coming in 18th this week and Weir in 19th. Ireland's Padraig Harrington closed out the top-20.
Robert Allenby survived the six-player playoff in rainy California and with the victory jumped 11 spots to 27th this week.
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