In promotions for new film Iron Man, star Robert Downey Jr has mentioned Matt and Bourne as influences - as seen here and here:
Q: What kind of image did you want to portray on the big screen? Downey Jr: Well, I talked to Matt Damon a little bit about this. We chatted about the director of Bourne Ultimatum who would often say to Matt: “Don't smile. Act more butch.” That's good advice, but I couldn't really stick to it.
Downey likens the role of Tony Stark to that of Jason Bourne (Matt Damon) in the "Bourne Ultimatum" and "Bourne Supremacy" movies that pair big Hollywood action with a flawed central character who is complicated and struggling to find himself and his place in the world.