Solve the system x? + xy3 = 9 3x?y - y' = 4 using Newton's method for nonlinear systems. Use each of the initial guesses (xо, Уo) — (1.2, 2.5), (— 2, 2.5), (-1.2, - 2.5), (2, — 2.5). Observe which root to which the method converges, the number of iterates required, and the speed of convergence.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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51.
Solve the system
x2 + xy = 9
3x?y - y³ = 4
using Newton's method for nonlinear systems. Use each of the initial
guesses (xo, Y) = (1.2,2.5), (-2,2.5), (-1.2, -- 2.5), (2, –2.5). Observe
which root to which the method converges, the number of iterates required,
and the speed of convergence.
Transcribed Image Text:51. Solve the system x2 + xy = 9 3x?y - y³ = 4 using Newton's method for nonlinear systems. Use each of the initial guesses (xo, Y) = (1.2,2.5), (-2,2.5), (-1.2, -- 2.5), (2, –2.5). Observe which root to which the method converges, the number of iterates required, and the speed of convergence.
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