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 26.4, Problem 1E
Program Plan Intro

To prove that the procedure INITIALIZE-PREFLOW( G,s ) returns s.e|f*| , where f* is the maximum flow of the network.

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Let f(x) = x¹ Hx-x¹b, where H and b are constant, independent of x, and H is symmetric positive definite. Given vectors x0) and p0), find the value of the scalar a that minimizes f(x0) + ap0)). This is the formula for the stepsize ak in the linear conjugate gradient algorithm.
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