Lecture 8: Solving Recurrence Equations

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Taught by ArsDigita
  • Currently 4.0/5 Stars.
10678 views | 3 ratings
Lesson Description:

Learn some methods for attacking and solving recurrence equations.

More information about this course:
http://www.aduni.org/courses/discrete
Licensed under Creative Commons Attribution ShareAlike 2.0:
http://creativecommons.org/licenses/by-sa/2.0/

Additional Resources:
Questions answered by this video:
  • How do you solve recurrence equations?
  • How do you use a divide and conquer algorithm to split a problem into two halves?
  • What are some method for solving recurrence equations?
  • How can you use repeated substitution to solve recurrence equations?
  • What is the Master Theorem for solving divide and conquer recurrence equations, and how is it used instead of repeated substitution to analyze complexity more simply?
  • How is change of variables used to solve recurrence equations?
  • How can guessing the time complexity and proving by induction be used to solve recurrence equations?
  • What are linear homogeneous equations and how can they be used to solve recurrence equations?
  • How can you use Linear Algebra and diagonalization to solve recurrence equations?
  • How do you find order, magnitude, or time complexity of sorts and other algorithms?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lecture focuses on solving recurrence equations using a variety of different methods. The different methods and an explanation of how to use them and when they are useful are explained with a variety of problems in this lesson. Some really great example problems are done to solidify understanding of these concepts. For the most part, however, this video gets bogged down with a lot of really in-depth calculations.
  • twistedchaos

    • Currently 5.0/5 Stars.
    This is the most thorough video I've found on the web regarding recurrence equations.