A MEX64-interface for solving inverse problems in MATLAB

The results of research and development of a 64-bit program for solving problems of spectroscopy and spectrometry consisting of a 64-bit calculator and a MEX64-interface (MatLab EXecutable) for connecting a calculator with MatLab64 program are presented. The MEX64-interfaces written on MatLab m-codes were developed and created using the following problem-solving methods: the simplex method, the generalized residual method, and the conditional gradient method on compact sets. A MEX64-interface and dynamic library written in the Intel Fortran language (2018) was developed to solve spectroscopy feedback by analyzing the reflection spectra of optical dielectrics using the Kramers-Krönig transformation method. The optical spectra of a wide-gap dielectric (beryllium oxide) obtained by processing the experimental data of the reflection spectra measured in the energy region of a vacuum ultraviolet created by the program package are presented.