Simone helped me to understand the difference using below image. Basically what distinguishes these two types of yoga is the Suryanamaskar A and B. Both Iyengar and Vinyasa follow the 8 limbs of the ashtanga path; yama, niyama, asana, pranayama, pratyahara, dharana, dhyana and Samadhi. While Vinyasa incorporates sun salutation in between standing, seating and finishing poses, Iyengar focuses mostly on the body alignment using props.
Iyengar is also widely known for its therapeutic effect on nervous system, cardio vascular and respiratory systems. Recent studies showed that practicing Iyengar yoga resulted in an overall improvement in mobility of patient with chronic low back pain. Due to its effect on hip extension, Iyengar yoga is recommended as an alternative approach to reduce age related gait problems. It is also a good start for people who intend to work on their body strength.
Simone teaches a verity of yoga classes including Gentle Hatha, Iyengar Hatha, Restorative Yoga and Meditative Hatha Flow with Therapeutic Elements. Her classes are on Wednesdays, Fridays, Saturdays and Sundays.