A book I read recently, 'Fifteen Love' by Robert Corbet, switched between viewpoints of the main male and female character. Before each section, it would say the person's name, and then the scene would be described, dialogue would be included, etc. Sometimes the scene would be the same from the opposite perspective, and sometimes the scene would be the next one after what had happened to the previous person. This worked, but there are different ways I've seen this as well that I've liked just as much, if not more.
In 'Up Over Down Under' by Micol Ostow and Noah Harlan (part of the S.A.S.S. series of books), there are two main characters, Billie and Eliza. They are two girls who switch homes and schools for a semester as part of a study abroad program. Each chapter in the novel switched between perspectives, and the segues were made clear through e-mails the girls sent to each other. After the e-mail that kind of wrapped up what had happened in the previous chapter with kind of a question for the other character to answer to help lead into future chapters, a new chapter would begin with what was happening in the other location, not necessarily related to what was happening with the other person and where they were located.
If I was going to do write in dual viewpoint, I would choose to write more in the way of 'Up Over Down Under'. I liked how Ostow and Harlan switched between viewpoints but made the characters related in some way to each other.
There is one more example, but not all within the same book. Lisa Yee has written several novels (including 'Millicent Min, Girl Genius' and 'Stanford Wong Flunks Big Time') that are written from different perspectives, but tell the same story. I love this style, but it takes more than one book to do this. If you want to tell your story from different perspectives in one book, the 'Up Over Down Under' example is my favorite way of doing so. However, if the characters aren't really talking to each other yet, you can have them have a mutual friend who is kind of like the narrator, perhaps, and can tell their story(ies)?