An easy to use interface allowing usage of MOSEK from MATLAB is included in the MOSEK distribution. The main features of the MOSEK optimization toolbox for MATLAB are:
Using MOSEK optimization toolbox you can solve large-scale
optimization problems. Moreover, the toolbox can be used to solve
problems. The optimization toolbox supports many different versions of MATLAB. Moreover, the optimization toolbox for MATLAB includes extensive documentation that makes it easy to use.
A MOSEK license can be used with any of the supported interface, you are not constrained to use MATLAB only so you develop the prototype in MATLAB and later build the final application in C or Java for instance with purchasing additional licenses.