ON NEW MATHEMATICAL RESULTS IN RESEARCHING OF LINEAR TRANSFORMATIVE SYSTEMS
Journal Title: Молодий вчений - Year 2018, Vol 2, Issue 54
Abstract
The problem of construction and research of solutions’ multitude (if they are) or root-mean-square approximations to them for the system of linear algebraic equations is set and solved. Obtained mathematical results on pseudo-inversion of these classically known algebraic systems are spread on linear integral and functionally transformed systems. The evalution of accuracy of the obtained in this paper pseudo-inversions’ analytical dependencies of these three practically important discrete and discretely-continuous transformers is conducted. Conditions of uniquiness of pseudo-solutions, constructed in this way, are formulated. The form of the considered problems’ solutions is quite simple and convenient for practical implementation.
Authors and Affiliations
V. A. Stoyan, K. M. Palamarchuk
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