TOMLAB is a Matlab 5 development environment for research and teaching in optimization, running on both Unix and PCsystems. One motivation for TOMLAB is to simplify research on practical optimization problems, giving easy access to all types of solvers; at the same time having full access to the power of Matlab. In this paper we discuss the design and contents of TOMLAB, as well as some applications where TOMLAB has been successfully applied. TOMLAB includes routines for linear, integer and nonlinear programming, nonlinear parameter estimation and global optimization. More than 65 algorithms are implemented, together with graphical and computational utilities, menu systems and a graphical user interface. It is possible to call solvers in the Math Works Optimization Toolbox and, using MEX-file interfaces, general-purpose solvers implemented in Fortran or C. TOMLAB implements powerful and robust state-of-the-art routines for nonlinear parameter estimation and global optimization; areas of special interest in applied research. Results on practical applications in these areas will be discussed. Our new algorithms for constrained nonlinear least squares algorithms are out-performing the state-of-the-art commercial solvers on classical test problems. For exponential sum model fitting on real-life data from radiotherapy planning our new separable nonlinear least squares algorithm is converging> 35 % faster than other solvers. 1

The TOMLAB /SOL v3.0 optimization environment is a powerful optimization tool in Matlab, which incooperates manyresults from the last 40 years of research in the field. More than 65 different algorithms for linear, discrete, global and nonlinear optimization are implemented in Matlab, and 14 Fortran solvers are integrated with the use of MEX file interfaces. It has been developed in cooperation with the SOL group