Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 4.2, Problem 5E
Program Plan Intro

To find the method that gives best asymptotic running when using divide and conquer algorithm, and to compare it with Strassen’s algorithm.

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Computer Science How would you modify Strassen's algorithm to multiply n n matrices in which n is not an exact power of 2? Explain how your algorithm works for the case where n = 30.
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Suppose that a Professor were to develop a method of multiplying two 12 x 12 matrices using 150 scalar multiplications and a constant number of scalar additions and subtractions: What is the recurrence equation that describes the resulting divide and conquer algorithm for multiplying two n x n matrices? And what is the asymptotic solution of the equation (use big O notation)?
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