COMPARATIVE ANALYSIS OF THE METHODS FOR SOLVING SYLVESTER TYPE A(t)X(t)+X(t)B(t)=C(t)ONE-PARAMETRIC MATRIX EQUATIONS
Keywords:
comparative analysis, one parametric Sylvester type matrix continuous equation, frozen coefficient method, Newton’s interpolation, differential transformations, sequential and parallel numerical- analytical methodsAbstract
The comparative characteristics of the methods for solving continuous one-parameter Sylvester-type matrix equations are analyzed: The method of frozen coefficients (FC using Newton interpolation), as well as the parallel and serial numerical-analytical methods based on the differential transformations. The analysis is carried out by three main parameters- the working time of the methods, the memory usage and the number of function calls.
