Linda Joan Metheny-Mulvihill (born August 12, 1947) is a retired American artistic gymnast.

She competed at the 1964, 1968 and 1972 Olympics with the best individual result of fourth place on the balance beam in 1968, becoming the first American gymnast to qualify to an Olympic event final.

[3] Metheny started competing in 1962, and between 1964 and 1973 was a member of the national team.

After the 1964 Olympics she enrolled at the University of Illinois as their only female gymnast.

Together with her husband she has run the National Academy of Artistic Gymnastics in Eugene, Oregon, since 1973.