The Restaurant at The Alexander, a Dolce by Wyndham
The Alexander's restaurant is mentioned by professionals. Out of 7 reviews tracked on TripExpert, 5 referenced the restaurant, including Gayot, Jetsetter and Star Service.
The Alexander, a Dolce by Wyndham 
Gayot
Jetsetter
Star Service Star Service
Oyster
Gayot "The hotel’s location in the mixed-use CityWay complex on the south side of downtown is close to theaters, shopping and restaurants, and the mod Cerulean restaurant provides destination dining for lunch and dinner right on-site"
Jetsetter "Top off the day at restaurants like contemporary Italian Blue Beard, which has a daily-changing menu, or Libertine, for gastropub fare such as octopus or a bacon flight, and award-winning cocktails"
Star Service "The entrance from the plaza leads to the Market Table restaurant and to an escalator up to the lobby"
Star Service "The entrance from the plaza leads to the Market Table restaurant and to an escalator up to the lobby"
Oyster "For something with more features, check out JW Marriott Indianapolis, which has a pool, two restaurants, and a Starbucks -- but Wi-Fi incurs a fee"
