Ivanovic appointed a new coach after falling from world number one to eight
Ana Ivanovic began life under new coach Craig Kardon with a revenge win over Russian Alisa Kleybanova at the Dubai Tennis Championships.
The 21-year-old Serb teamed up with Martina Navratilova's former coach after a shock defeat by Kleybanova at the Australian Open in January.
The world number eight saw off the hard-hitting Russian 7-5 6-4 on Monday.
But seventh seed Svetlana Kuznetsova and ninth seed Agnieszka Radwanska both crashed out at the first hurdle.
Kuznetsova lost 6-4 3-6 6-0 to fellow Russian Elena Vesnina, while Radwanska was beaten 6-4 6-3 by her younger sister Urszula in the first professional meeting between the pair.
The Dubai tournament has been overshadowed by the decision to deny Israeli Shahar Peer a visa to enter the country.
The WTA warned on Monday that the tournament risked exclusion from the 2010 calendar over the decision.
Peer had been due to face 15th seed Anna Chakvedatze in the first round, but her place in the draw was taken by Japan's Ayumi Morita, a lucky loser from the qualifying tournament.
Morita caused another upset on day one of the tournament by beating Chakvedatze 7-5 6-2.