Angelique Kerber advances
The fifth-seeded Kerber took advantage of five double-faults to defeat Torro-Flor at Ariake Colosseum.
In other second-round matches, seventh-seeded Petra Kvitova of the Czech Republic beat Belinda Bencic of Switzerland 7-5, 6-4, and Lucie Safarova of the Czech Republic defeated eighth-seeded Roberta Vinci of Italy 7-5, 6-4.
The No. 11-seeded Ivanovic lost the first game of each set but bounced back with six straight games to beat Beck.
Also, Misaki Doi rallied from 5-3 down in the third set to beat Varvara Lepchenko 6-7 (3), 6-0, 7-5 and Kimiko Date-Krumm defeated Australian qualifier Anastasia Rodionova, who retired due to an abdominal injury in the second set with Date-Krumm leading 6-2, 4-1.