Increase of efficiency of information-measuring and operating systems of laser technological installations is considered at sharp materials. The generalised block diagramme of information-measuring and operating system of laser technological installation is presented for are sharp materials. The analysis of mathematical methods of the decision of a problem open materials in the course of laser is passed are sharp. The algorithm of the decision of an optimising problem laser is described are sharp by means of a mathematical method of replacements. The practical example open a material is presented for laser technological installation LTI-1