The generalized matrix equation for systematic evaluation of oral Russian self-study

Generalized Lyapunov matrix equations appear in the fields of controllability analysis and model reduction of bilinear systems, stability analysis and optimal stabilization of linear stochastic systems, etc. The author studies the numerical solution of the generalized Lyapunov matrix equation combined with the evaluation of the Russian spoken language self-study system. Taking the empirical analysis as the research object, we selected 120 oral test samples from 12 colleges and universities in the 2020 national four-level unified test of Russian majors, compared with the teaching syllabus and the examination syllabus, the data were analyzed from the perspectives of speech speed, vocabulary, grammar and vocabulary errors, and a series of important conclusions were drawn, according to the specific problems exposed by the students in the oral test, the current situation of oral Russian teaching is discussed from the aspects of oral teaching materials, oral teachers and oral teaching methods.