  In this work, the double and triple poles soliton solutions for the
Gerdjikov-Ivanov(GI) type of derivative nonlinear Schr\"{o}dinger equation with
zero boundary conditions(ZBCs) and nonzero boundary conditions(NZBCs) are
studied via Riemann-Hilbert (RH) method. Though spectral problem analysis, we
first give out the Jost function and scattering matrix under ZBCs and NZBCs.
Then according to the analyticity, symmetry and asymptotic behavior of Jost
function and scattering matrix, the Riemann-Hilbert problem(RHP) with ZBCs and
NZBCs are constructed. Further, the obtained RHP with ZBCs and NZBCs can be
solved in the case that reflection coefficients have double or triple poles.
Finally, we derive the general precise formulae of N-double and N-triple poles
solutions corresponding to ZBCs and NZBCs, respectively. The dynamical
behaviors for these solutions are further discussed by image simulation.
