Math 2.0

Difference and functional equations Linear difference equations Concept

Characteristic polynomial of a linear recurrence

Summary

The characteristic polynomial of a linear recurrence encodes its coefficients as a polynomial. Its roots give the geometric solutions, and they lead to closed formulas for all solutions. The node characteristic polynomial of a linear recurrence gives the precise definition.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Linear_recurrence_with_constant_coefficients, Characteristic polynomial and roots
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