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Lecture 7. Solving linear recurrence relations
1.
Solving linear recurrencerelations
Irina
Prosvirnina
Linear homogeneous
recurrence relations
with constant coefficients
Solving linear homogeneous recurrence relations
with constant coefficients
Solving linear homogeneous recurrence relations
with constant coefficients of degree two and of
degree three
Linear nonhomogeneous recurrence relations
with constant coefficients
Generating functions
Using generating functions to solve recurrence
relations
2.
Linear homogeneous recurrence relationswith constant coefficients
3.
Linear homogeneous recurrence relationswith constant coefficients
4.
Linear homogeneous recurrence relationswith constant coefficients
5.
Linear homogeneous recurrence relationswith constant coefficients
6.
Linear homogeneous recurrence relationswith constant coefficients
7.
Linear homogeneous recurrence relationswith constant coefficients
8.
Linear homogeneous recurrence relationswith constant coefficients
9.
Linear homogeneous recurrence relationswith constant coefficients
10.
Solving linear homogeneous recurrence relationswith constant coefficients
11.
Solving linear homogeneous recurrence relationswith constant coefficients
12.
Solving linear homogeneous recurrence relationswith constant coefficients
13.
Solving linear homogeneous recurrence relationswith constant coefficients
14.
Solving linear homogeneous recurrence relationswith constant coefficients
As we will see, these characteristic roots can be used to
give an explicit formula for all the solutions of the
recurrence relation.
15.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
16.
Proof of theorem 117.
Proof of theorem 118.
Proof of theorem 119.
Proof of theorem 120.
Proof of theorem 121.
Proof of theorem 122.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
23.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
24.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
25.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
26.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
27.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
28.
Solving linear homogeneous recurrence relations withconstant coefficients of degree two
29.
Solving linear homogeneous recurrence relations withconstant coefficients of degree three
30.
Solving linear homogeneous recurrence relations withconstant coefficients of degree three
31.
Solving linear homogeneous recurrence relations withconstant coefficients of degree three
32.
Linear nonhomogeneous recurrence relationswith constant coefficients
33.
Linear nonhomogeneous recurrence relationswith constant coefficients
34.
Linear nonhomogeneous recurrence relationswith constant coefficients
35.
Linear nonhomogeneous recurrence relationswith constant coefficients
36.
Linear nonhomogeneous recurrence relationswith constant coefficients
37.
Linear nonhomogeneous recurrence relationswith constant coefficients
38.
Proof of theorem 439.
Proof of theorem 440.
Proof of theorem 441.
Linear nonhomogeneous recurrence relationswith constant coefficients
42.
Linear nonhomogeneous recurrence relationswith constant coefficients
43.
Linear nonhomogeneous recurrence relationswith constant coefficients
44.
Linear nonhomogeneous recurrence relationswith constant coefficients
45.
Linear nonhomogeneous recurrence relationswith constant coefficients
46.
Linear nonhomogeneous recurrence relationswith constant coefficients