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Consider the quadratic function Ga+ba in four variables, where 2 -1 -1 2 --(-:-) -1 -1 2 -1 -1 G = 2 and b = (-1,0, 2, √5)". Apply the conjugate gradient method to this problem with x(¹) (0,0,0,0) and show that it converges in two = iterations.

Consider the quadratic function Ga+ba in four variables, where 2 -1 -1 2 --(-:-) -1 -1 2 -1 -1 G = 2 and b = (-1,0, 2, √5)". Apply the conjugate gradient method to this problem with x(¹) (0,0,0,0) and show that it converges in two = iterations.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 20EQ
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2. Consider the quadratic function a Ga+ba in four variables, where 2 -1 G = -1 2 = -1 -1 2 -1 2 −1 and b= (-1,0, 2, √5)". Apply the conjugate gradient method to this problem with x(¹) (0,0,0,0) and show that it converges in two iterations.
Transcribed Image Text:2. Consider the quadratic function a Ga+ba in four variables, where 2 -1 G = -1 2 = -1 -1 2 -1 2 −1 and b= (-1,0, 2, √5)". Apply the conjugate gradient method to this problem with x(¹) (0,0,0,0) and show that it converges in two iterations.
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