eye strain is caused by the eyes working to focus on a given object. Glossy screens which are highly reflective may cause the eyes/brain to work harder at processing the images you are seeing, which may cause eye strain.
Matte screens do not have the same reflective nature so its possible that they will reduce the amount of possible eye strain. By the same token if the lighting, computer position or distance from your eyes is not ideal, you still can incur eye strain on a matte (anti-glare) screen.
What I'm saying is there are many factors and variables that impact how eyes work and over-work (which causes eye strain). Highly reflective displays that are not positioned with proper lighting is just one example