Use conjugate gradient algorithm to derive the next iteration for the system: (2x1 + x₂ = 5 (x₁+ 2x2 = 1 when the initial guess is оо (0.5,-1) (2.5,0) (0,2.5) (1,-3) (3,-1) (-1,-1) (2.5,-2.5) (6,3) (3,0) = (1,0). =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 13E
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Use conjugate gradient algorithm to derive the next iteration for the system:
(2x1 + x2
when the initial
(0.5,-1)
(2.5,0)
(0,2.5)
(1,-3)
(3,-1)
(-1,-1)
(2.5,-2.5)
(6,3)
(3,0)
= 5
x₁ + 2x₂ = 1
guess is
x = (1,0).
Transcribed Image Text:Use conjugate gradient algorithm to derive the next iteration for the system: (2x1 + x2 when the initial (0.5,-1) (2.5,0) (0,2.5) (1,-3) (3,-1) (-1,-1) (2.5,-2.5) (6,3) (3,0) = 5 x₁ + 2x₂ = 1 guess is x = (1,0).
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