Context : Observations of the Sunyaev-Zel ’ dovich effect ( SZE ) from galaxy clusters are emerging as a powerful tool in cosmology .
Besides large cluster surveys , resolved SZE images of individual clusters can shed light on the physics of the intra-cluster medium ( ICM ) and allow accurate measurements of the cluster gas and total masses .

Aims : We used the APEX-SZ and LABOCA bolometer cameras on the APEX telescope to map both the decrement of the SZE at 150 GHz and the increment at 345 GHz toward the rich and X-ray luminous galaxy cluster Abell 2163 at redshift 0.203 .
The SZE images were used , in conjunction with archival XMM-Newton X-ray data , to model the radial density and temperature distribution of the ICM , as well as to derive the gas mass fraction in the cluster under the assumption of hydrostatic equilibrium .

Methods : We describe the data analysis techniques developed to extract the faint and extended SZE signal .
We used the isothermal \beta model to fit the SZE decrement/increment radial profiles .
We performed a simple , non-parametric de-projection of the radial density and temperature profiles , in conjunction with X-ray data , under the simplifying assumption of spherical symmetry .
We combined the peak SZE signals derived in this paper with published SZE measurements of this cluster to derive the cluster line-of-sight bulk velocity and the central Comptonization , using priors on the ICM temperature .

Results : We find that the best-fit isothermal model to the SZE data is consistent with the ICM properties implied by the X-ray data , particularly inside the central 1 Mpc radius .
Inside a radius of \sim 1500 kpc from the cluster center , the mean gas temperature derived from our SZE/X-ray joint analysis is 10.4 \pm 1.4 keV .
The error budget for the derived temperature profile is dominated by statistical errors in the 150 GHz SZE image .
From the isothermal analysis combined with previously published data , we find a line-of-sight peculiar velocity consistent with zero ; v _ { r } = -140 \pm 460 km/s , and a central Comptonization y _ { 0 } = 3.42 \pm 0.32 \times 10 ^ { -4 } for Abell 2163 .

Conclusions : Although the assumptions of hydrostatic equilibrium and spherical symmetry may not be optimal for this complex system , the results obtained under these assumptions are consistent with X-ray and weak-lensing measurements .
This shows the applicability of the simple joint SZE and X-ray de-projection technique described in this paper for clusters with a wide range of dynamical states .