| [ KAIST ] in KIDS 글 쓴 이(By): mkjung (한눈안팜 ) 날 짜 (Date): 2000년 9월 1일 금요일 오전 03시 23분 03초 제 목(Title): Re: 쉬운 수학 문제인데 어떻게 풀어야 � X(n+1) = X(n) + p*Y(n) - p*Z(n) Y(n+1) =p*X(n) + Y(n) Z(n+1) = p*Y(n) + Z(n) ============= this form is called homogeneous difference equations. as other people said, transform it to M(n+1) = CM(n). where C is a matrix. if you have constant terms, it is called inhomogeneous and can be solved again by matrix form. M(n+1) = CM(n) + D, where D is a constant vector. The solution will be given by M(n) = \sum a_i C^i M(0) + a_0. for some constants a_i's. See "Ordinary Differential Equations" for reference. |