The steady-state phase diagram of the one-dimensional reaction-diffusion mo
del 2A --> 3A, 2A-->0 is studied through the non-Hermitian density matrix r
enormalization group: In the absence of single-particle diffusion the model
reduces to the pair-contact process, which has a phase transition in the u
niversality class of directed percolation (DP) and an infinite number of ab
sorbing steady states. When single-particle diffusion is added, the number
of absorbing steady states is reduced to 2 and the model no longer shows DP
critical behavior. The exponents theta=nu (parallel to)/nu (perpendicular
to) and beta/nu (perpendicular to) are calculated numerically. The value of
beta/nu (perpendicular to), is close to the value of the parity conserving
universality class, in spite of the absence of local conservation laws.