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Use the Steepest Descent method with x) = (0,0,0)' to find a reasonable starting approx- imation to the solution of the nonlinear system f1(x1, x2, x3) = 3x1 - cos(x2x3) = 0, f2(x1, x2, x3)=x²-81(x2 +0.1)² + sin x3 + 1.06 = 0, 10л - 3 3 f3(x1, x2, x3) = ex1x2 + 20x3 + = 0.

Use the Steepest Descent method with x) = (0,0,0)' to find a reasonable starting approx- imation to the solution of the nonlinear system f1(x1, x2, x3) = 3x1 - cos(x2x3) = 0, f2(x1, x2, x3)=x²-81(x2 +0.1)² + sin x3 + 1.06 = 0, 10л - 3 3 f3(x1, x2, x3) = ex1x2 + 20x3 + = 0.

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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Please give a hand written solution of the problem. Solve this using steepest descent method. Not in a code, I want hand written solution.   

Use the Steepest Descent method with x) = (0,0,0)' to find a reasonable starting approx- imation to the solution of the nonlinear system ƒ1 (x₁, x2, x3) = 3x₁ − cos(x2x3) — ½ = 0, f2(x1, x2, x3)=x²-81(x2 +0.1)² + sin x3 + 1.06 = 0, 10л - 3 3 f3(x1, x2, x3) = ex1x² + 20x3 + = 0.
Transcribed Image Text:Use the Steepest Descent method with x) = (0,0,0)' to find a reasonable starting approx- imation to the solution of the nonlinear system ƒ1 (x₁, x2, x3) = 3x₁ − cos(x2x3) — ½ = 0, f2(x1, x2, x3)=x²-81(x2 +0.1)² + sin x3 + 1.06 = 0, 10л - 3 3 f3(x1, x2, x3) = ex1x² + 20x3 + = 0.
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