Solving the Constant Coefficient Homogeneous Linear Difference Equation by Matrix
Kelong Zheng
Abstract
Kelong Zheng
Abstract
The constant coefficient homogeneous linear difference equation is changed to multiplication of a matrix and a vector.By computing the power of Jordan matrix and the theory of similar matrix,the analytic formulation of the general solution of the constant coefficient homogeneous linear difference equation is presented.
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The constant coefficient homogeneous linear difference equation is changed to multiplication of a matrix and a vector.By computing the power of Jordan matrix and the theory of similar matrix,the analytic formulation of the general solution of the constant coefficient homogeneous linear difference equation is presented.
Key concepts: Coefficient matrix, Mathematics, Constant coefficients, Constant (computer programming), Homogeneous differential equation, Matrix (chemical analysis), Mathematical analysis, Homogeneous