Solving linear recurrence relations презентация

Содержание

Linear homogeneous recurrence relations with constant coefficients  

Слайд 1 Solving linear recurrence relations

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


Слайд 2Linear homogeneous recurrence relations with constant coefficients
 


Слайд 3Linear homogeneous recurrence relations with constant coefficients
 


Слайд 4Linear homogeneous recurrence relations with constant coefficients
 


Слайд 5Linear homogeneous recurrence relations with constant coefficients
 


Слайд 6Linear homogeneous recurrence relations with constant coefficients
 


Слайд 7Linear homogeneous recurrence relations with constant coefficients
 


Слайд 8Linear homogeneous recurrence relations with constant coefficients
 


Слайд 9Linear homogeneous recurrence relations with constant coefficients
 


Слайд 10Solving linear homogeneous recurrence relations with constant coefficients
 


Слайд 11Solving linear homogeneous recurrence relations with constant coefficients
 


Слайд 12Solving linear homogeneous recurrence relations with constant coefficients
 


Слайд 13Solving linear homogeneous recurrence relations with constant coefficients
 


Слайд 14Solving linear homogeneous recurrence relations with 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.

Слайд 15Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 16Proof of theorem 1
 


Слайд 17Proof of theorem 1
 


Слайд 18Proof of theorem 1
 


Слайд 19Proof of theorem 1
 


Слайд 20Proof of theorem 1
 


Слайд 21Proof of theorem 1
 


Слайд 22Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 23Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 24Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 25Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 26Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 27Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 28Solving linear homogeneous recurrence relations with constant coefficients of degree two
 


Слайд 29Solving linear homogeneous recurrence relations with constant coefficients of degree three
 


Слайд 30Solving linear homogeneous recurrence relations with constant coefficients of degree three
 


Слайд 31Solving linear homogeneous recurrence relations with constant coefficients of degree three
 


Слайд 32Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 33Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 34Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 35Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 36Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 37Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 38Proof of theorem 4
 


Слайд 39Proof of theorem 4
 


Слайд 40Proof of theorem 4
 


Слайд 41Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 42Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 43Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 44Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 45Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 46Linear nonhomogeneous recurrence relations with constant coefficients
 


Слайд 47Generating functions
 


Слайд 48Generating functions
 


Слайд 49Generating functions
 


Слайд 50Generating functions
 


Слайд 51Generating functions
 


Слайд 52Generating functions
 


Слайд 53Generating functions
 


Слайд 54Generating functions
 


Слайд 55Generating functions
 


Слайд 56Using generating functions to solve recurrence relations
 


Слайд 61Using generating functions to solve recurrence relations
 


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