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Information × Registration Number 0121U107981, R & D request Title To develop theoretical bases of mathematical modeling of physical processes on the basis of generalized inverse matrices Head Vareniuk Nataliia А., Кандидат фізико-математичних наук Registration Date 08-02-2021 Organization V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine popup.description1 The aim of the work is to construct and study various developments and representations of weighted generalized inverse matrices (matrix power series and products, boundary representations, representation in terms of coefficients of characteristic polynomials of symmetrized matrices, etc.). Develop and investigate new effective direct and iterative methods for calculating normal pseudo-solutions. Create new mathematical models to identify the parameters of stationary and non-stationary thermal processes, which are described by mathematical problems, for the solution of which it is necessary to calculate normal pseudo-solutions. Develop effective methods for detecting various parameters of mathematical models of the thermal state of spatial bodies, which will allow external observation of changes in the thermal state of objects in a non-destructive way to determine the characteristics of individual components of multicomponent bodies to solve problems of design and extension of the resource of complex modern objects for various purposes, to determine the characteristics of new materials. popup.nrat_date 2024-12-09 Close