Asymptotic Stability Analysis Of Numerical Solutions For A Class Of Linear Differential Algebra Systems With Rectangular Coefficient Matrices

Differential-algebraic equations(DAEs)is generally applied to the science and technol-ogy engineering.Here,the 'rectangular coefficient matrix of differential-algebraic equations has become an increasing requirement.Therefore,it is meaningful and valuable to make a deep research on the analytic solutions and numerical solutions for this system.Using nu-merical methods to solve this kind of system has become an important means.In order to use the numerical methods effectively,we should study various properties of the solutions.Here,the research of the asymptotic stability is considered to be an important method.In this paper,we study the numerical solutions of the rectangular coefficient ma-trix of differential-algebraic equations by discussing in block.The sufficient conditions for the asymptotic stability of numerical solutions is achieved by using the linear multi-step methods and Runge-Kutta methods.