Roddick is attempting to become the first four-time winner of the tournament. Andre Agassi is the only other player to win the tourney three times.
Roddick, ranked No. 6 in the world, is looking for his first tourney win this year. He lost to Roger Federer in the semifinals of the Australian Open and lost to Andy Murray in the Qatar Open final.
Ryderstedt started serving better in the second set but Roddick dominated the 25-year-old Swede in the tiebreaker.
"There wasn't a whole lot of rhythm to be had in the match,'' Roddick said. "He pretty much made up his mind that he was going to take a rip at most shots and he started to go for a bunch of big second serves in the second set.
"I did what I had to do to win. I almost worked my way out of a feel for how he was playing. It was almost backwards. It was tough. I got on him early but I wasn't doing a whole lot. And when he stepped up his game it was tough to get in the moment again.''
In other first-round action, eighth-seeded Robby Ginepri was upset by qualifier Todd Widom.
Widom won 3-6, 7-6 (2), 6-4 for his first victory in an ATP event since he won a first-round match at Delray Beach in January 2006. The 25-year-old Widom, ranked 270th, has battled through two bouts of eye cancer, two knee surgeries and an elbow injury since 2006.
"It feels really good,'' Widom said. "This was a step in the right direction. I played the big points and tried to take the match to him and succeeded. This last year, I thought my career was over because of the various injuries I had suffered.''
The 44th-ranked Ginepri is 1-4 on the tour this year and hasn't won a match since Auckland Open in early January.
Widom will play Taylor Dent in the second round on Thursday.
In other matches, Denis Gremelmayr needed three sets to beat Roko Karanusic, 3-6, 7-6 (4), 6-2; Chris Guccione beat Guillermo Canas, 7-6 (7), 7-5 and Ernests Gulbis defeated Ricardo Mello 7-6 (4), 6-4.
Roddick wins first-round match
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Roddick wins first-round match
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