Table 1: Reconstructed cluster mass within a cylinder of $340~ {h^{-1}}\mbox{ kpc}$ radius around the cluster centre from simulations of mock catalogues resembling I-band ( left) and R-band ( right) weak lensing data and one 4-image system. Three different initial conditions are used. We use the best fit model from the multiple image system IM (see Sect. 4.2), the IC model (NIS with same scaling and core radius as IM) and I0 with $\kappa ^{(0)}=0$ on all grid points. In the last line the input mass $M_{\rm s}$ from the simulation is given. The variance of the mass estimate is given and in brackets we give for comparison the velocity dispersion of an SIS having the same enclosed mass within $340~ {h^{-1}}\mbox{ kpc}$ .
$M_{I,~\rm s}$ $[\sigma_{\rm I,~SIS}]$ $M_{R,~\rm s}$ $[\sigma_{\rm R,~SIS}]$

$[10^{15}~ M_{\odot}]$ $[{\rm km ~s^{-1}}]$ $[10^{15}~ M_{\odot}]$ $[{\rm km ~s^{-1}}]$

IM $1.07 \pm 0.02$ [1720] $1.04 \pm 0.02$ [1710]

IC $1.04 \pm 0.02$ [1700] $1.00 \pm 0.02$ [1670]

I0 $0.88 \pm 0.03$ [1560] $0.82 \pm 0.03$ [1510]

$M_{\rm s}({<}340~ {h^{-1}}\mbox{ kpc})$ 0.99 [1670]

**Table 1:** Reconstructed cluster mass within a cylinder of $340~ {h^{-1}}\mbox{ kpc}$ radius around the cluster centre from simulations of mock catalogues resembling I-band ( *left*) and R-band ( *right*) weak lensing data and one 4-image system. Three different initial conditions are used. We use the best fit model from the multiple image system IM (see Sect. 4.2), the IC model (NIS with same scaling and core radius as IM) and I0 with $\kappa ^{(0)}=0$ on all grid points. In the last line the input mass $M_{\rm s}$ from the simulation is given. The variance of the mass estimate is given and in brackets we give for comparison the velocity dispersion of an SIS having the same enclosed mass within $340~ {h^{-1}}\mbox{ kpc}$ .
	$M_{I,~\rm s}$	$[\sigma_{\rm I,~SIS}]$	$M_{R,~\rm s}$	$[\sigma_{\rm R,~SIS}]$
	$[10^{15}~ M_{\odot}]$	$[{\rm km ~s^{-1}}]$	$[10^{15}~ M_{\odot}]$	$[{\rm km ~s^{-1}}]$
IM	$1.07 \pm 0.02$	[1720]	$1.04 \pm 0.02$	[1710]
IC	$1.04 \pm 0.02$	[1700]	$1.00 \pm 0.02$	[1670]
I0	$0.88 \pm 0.03$	[1560]	$0.82 \pm 0.03$	[1510]
$M_{\rm s}({<}340~ {h^{-1}}\mbox{ kpc})$	0.99	[1670]

Source LaTeX | All tables | In the text

	1 Introduction
	2 Gravitational lensing preliminaries
	3 The cluster mass reconstruction method
	4 Cluster mass reconstruction from simulated data
	5 Conclusions
	References
	Online Material
	Appendix A: The linear problem for $\psi _{k}$