2015年3月5日星期四

Difference Equations

Difference Equations

Recurrence relation

Fibonacci numbers

$F_0 = 0$

$F_1 = 1$

$F_n = F_{n-1}+F_{n-2}$

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...

Linear homogeneous recurrence relations with constant coefficients

$a_n = c_1a_{n-1} + c_2a_{n-2}+\cdots+c_da_{n-d},$

the solution:

$a_n = k_1 r_1^n + k_2 r_2^n + \cdots + k_d r_d^n,$

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http://ryteach.blogspot.tw/2015/03/rydsp-002-difference-equations.html

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