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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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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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