Chapter 6 Recurrence and Solution

6.2 Recurrence Relation 6.3 Solve Homogeneous Recurrence 6.4 Solve Nonhomogeneous Recurrence

6.2 Recurrence Relation

Example 2 Region partition for n lines.

6.3 Solve Homogeneous Recurrence Try. Is that O.K.? Yes! Definition: Fibonacci Sequence: 0,1,1,2,3,5,8,… Fibonacci Sequence:

Characteristic Equation: Using boundaries: and

We have

e.g. 3.3 (NTU) Solve with and

6.4 Solve Nonhomogeneous Recurrence Example 1 Solve with and

Uisng We have Let, we have It yields, and then we have

Finally, we have From