LOS ANGELES — In the caverns of her memory, Tiffany Jackson recalls the job she held, fleetingly, after leaving the military, when she still wore stylish flats and blouses with butterfly collars and worked in a high-rise with a million-dollar view.

Two years later, she had descended into anger and alcohol and left her job. She started hanging out with people who were using cocaine and became an addict herself, huddling against the wind on Skid Row here.

“You feel helpless to stop it,” she said of the cascade of events in which she went from having her own apartment to sleeping in seedy hotels and then, for a year, in the streets, where she joined the growing ranks of homeless female veterans.

Even as the Pentagon lifts the ban on women in combat roles, returning servicewomen are facing a battlefield of a different kind: they are now the fastest growing segment of the homeless population, an often-invisible group bouncing between sofa and air mattress, overnighting in public storage lockers, living in cars and learning to park inconspicuously on the outskirts of shopping centers to avoid the violence of the streets.