@article{Simonyan_Ayvazyan_2017, title={TO THE SOLUTION OF ONE-PARAMETRIC MATRIX EQUATIONS OF A(T)⋅X(T)+ X*(T) ⋅B(T) =C(T) TYPE}, url={http://ric.zntu.edu.ua/article/view/90278}, DOI={10.15588/1607-3274-2016-4-6}, abstractNote={We consider the one-parameter conjugated analogs of Sylvester type matrix equations. On the basis of simple transformations we obtain<br />the equivalent matrix equation containing only the unknown matrix which should be determined. Next, using the apparatus of Kronecker<br />products of matrices, the analytical solution of the problem was obtained, which is limited in practical applications, but serves as a basis for the development of numerical-analytical methods for solving the original problem. Serial and parallel numerical and analytical solution methods are proposed based on the differential transformations G. E. Pukhov. With sequential numerical-analytical method we operate with numeric recursive procedures in the first stage of the calculation, and analytical relations – in the second stage. In parallel numerical-analytical method we operate with linear hypersystem of numerical equations in the first stage of the calculation, and analytical relations – in the second stage. For all the methods the relevant conditions for the unique solvability of the problem were obtained. A model example was considered for which using numerical and analytical methods an exact solution of the Taylor was obtained. The proposed numerical-analytical techniques can be efficiently implemented by means of modern information technology.}, number={4}, journal={Radio Electronics, Computer Science, Control}, author={Simonyan, S. H. and Ayvazyan, A. A.}, year={2017}, month={Jan.} }