We examine the linear stability of the Ginzburg-Landau operator with s
patially varying coefficients, which mimics strongly nonparallel open
flows such as wakes, jets, and boundary layers. The streamwise non-nor
mality of the global eigenmodes explains the observed large transient
growths, classically interpreted in terms of local convective instabil
ity. The use of pseudospectra provides an exact measure of spatial amp
lification and aids in the determination of when entrance noise domina
tes the open-flow dynamics.