For the solution of the generalized complex non-Hermitian eigenvalue proble
ms Ax = lambda Bx occurring in the spectral study of linearized resistive m
agnetohydrodynamics (MHD) a new parallel solver based on the recently devel
oped Jacobi-Davidson [SIAM J. Matrix Anal. Appl. 17 (1996) 401] method has
been developed. A brief presentation of the implementation of the solver is
given here. The new solver is very well suited for the computation of some
selected interior eigenvalues related to the resistive Alfven wave spectru
m and is well parallelizable. All features of the spectrum are easily and a
ccurately computed with only a few target shifts. (C) 2001 Elsevier Science
B.V. All rights reserved.