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Lec 3 | MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503), Fall 2005

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Uploaded by on Jan 7, 2009

Lecture 03: Divide-and-Conquer: Strassen, Fibonacci, Polynomial Multiplication

View the complete course at: http://ocw.mit.edu/6-046JF05

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  • 00:24 that's it, I'm fed up with algorithms. I quit.

  • The algorithm he says is "completely impractical" at 54:30 is called the Coppersmith–Winograd algorithm. The running time is O(n^2.376). However, the constant coefficient hidden by the Big O notation is so large that the Coppersmith–Winograd algorithm is only worthwhile for matrices that are too large to handle on present-day computers.

    As a side note: Since any algorithm for multiplying two n×n-matrices has to process all 2×n2-entries, there is an asymptotic lower bound of Ω(n^2) operations.

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  • 3:53 me too. 

  • very nice teacher.. i like the way it being explained.

  • sooo confusing

  • Nice lecture, but he is always in such a hurry, writes fast and seems stressed it makes me anxious. I want to tell him "chill!!"

  • What a damn chalk sound on 47:33

  • 20:43 - he could not even explain well enough what fibonacci sequence is.

  • American lectures are like rappers... body language , hand gestures are funny.

  • i can not believe that the naive matrix multiplication can be improved

    i do not think there is any waste in the naive algorithm

  • Only in Algebra 2 at my High School, but I think I'm excited to learn algorithms. :)

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