We investigate iterative methods for solving linear systems arising fr
om the kinetic theory and providing transport coefficients of dilute p
olyatomic gas mixtures, These linear systems are obtained in their nat
urally constrained, singular, and symmetric form, using the formalism
of Waldmann and Trubenbacher. The transport coefficients associated wi
th the systems obtained by Monchick, Yun, and Mason are also recovered
, if two misprints are corrected in the work of these authors, Using t
he recent theory of Ern and Giovangigli, all the transport coefficient
s are expressed as convergent series. By truncating these series, new,
accurate, approximate expressions are obtained for all the transport
coefficients. Finally, the computational efficiency of the present tra
nsport algorithms in multicomponent Row applications is illustrated wi
th several numerical experiments. (C) 1995 Academic Press, Inc.