What kind of trees have purple flowers?

Several kinds of trees with purple flowers:

Paulownia tree: skin gray, brown or black. Young trees have smooth bark, but obvious lenticels. The tree gradually splits longitudinally, with sparse branches and leaves and a conical or umbrella crown. Most tree species belong to pseudo-branched branches, and their terminal buds wither after overwintering. The leaves are opposite, large and long-stalked, and the leaf area gradually decreases with the increase of tree age. Inflorescence thyrsoid, flowers stalked, calyx fleshy. Jacaranda: Deciduous tree of Osmundaceae, up to15m. Brazil, native to South America, has been introduced and cultivated in China in recent years for viewing. Jacaranda jacaranda is an ornamental, foliage and flowering tree species, which is widely planted as a street tree in tropical and warm subtropical regions. Its wood is yellowish white to gray, soft and light, straight in texture and easy to process, and can be used as furniture material. This species has both ornamental value and economic value. Lagerstroemia speciosa: alias "itch flower, itch tree, purple flower, purple orchid, mosquito flower, water hyacinth, zinnia, skinless tree, deciduous shrub or small tree. It belongs to Lysimachiaceae and Lagerstroemia, with a tree height of 7 meters, smooth bark, gray or grayish brown, twisted branches, slender branches, alternate or sometimes opposite leaves, paper, oval, rectangular or obovate.