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Let S, (x, y, z) denote a sphere with center (x, y, z) and radius r > 0. The spheres S√(1,0,1), S√(0, 2, 2), and S(0, 3, 3) intersect in a single point. Find this point using the multivariable Newton iteration in MATLAB. Stop the iteration when the absolute backward error in the 2-norm is less than 10-6.

Let S, (x, y, z) denote a sphere with center (x, y, z) and radius r > 0. The spheres S√(1,0,1), S√(0, 2, 2), and S(0, 3, 3) intersect in a single point. Find this point using the multivariable Newton iteration in MATLAB. Stop the iteration when the absolute backward error in the 2-norm is less than 10-6.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Let S, (x, y, z) denote a sphere with center (x, y, z) and radius r > 0. The spheres S(1,0,1), S (0, 2, 2), and S(0, 3, 3) intersect in a single point. Find this point using the multivariable Newton iteration in MATLAB. Stop the iteration when the absolute backward error in the 2-norm is less than 10-6.
Transcribed Image Text:3. Let S, (x, y, z) denote a sphere with center (x, y, z) and radius r > 0. The spheres S(1,0,1), S (0, 2, 2), and S(0, 3, 3) intersect in a single point. Find this point using the multivariable Newton iteration in MATLAB. Stop the iteration when the absolute backward error in the 2-norm is less than 10-6.
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