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Update: +1 = Xi Yi+1=Yi - Gradient: Vf(xi, Yi) fx (xi, Yi) |▼ f(xi, Yi)|* fy (xi, Yi) |V f (xi, Yi)|* As -As (fx(xi, Yi))² + (fy(xi, Yi))²

Update: +1 = Xi Yi+1=Yi - Gradient: Vf(xi, Yi) fx (xi, Yi) |▼ f(xi, Yi)|* fy (xi, Yi) |V f (xi, Yi)|* As -As (fx(xi, Yi))² + (fy(xi, Yi))²

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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Your ID's last three digits are "abc". Let f(x,y) = 2x²+y²-xy-6x. Find the minimum of function by applying the Gradient Descent method twice with the initial point (1,1). First iteration stepsize is m=(1+a+b+c)/10 and the second iteration stepsize is 0.1. Use two decimals in your calculations. Update: +1 = Xi Yi+1=Yi - fx (xi, Yi) |▼ f (xi, Yi)| fy (xi, Yi) Vf(xi, Yi) As -As Gradient: Vf (₁, y) = √(x(i, Yi))² + (fy (i, Yi))² 27 a=0,b=3,c=9 please solve that numerical analysis question on that information.
Transcribed Image Text:Your ID's last three digits are "abc". Let f(x,y) = 2x²+y²-xy-6x. Find the minimum of function by applying the Gradient Descent method twice with the initial point (1,1). First iteration stepsize is m=(1+a+b+c)/10 and the second iteration stepsize is 0.1. Use two decimals in your calculations. Update: +1 = Xi Yi+1=Yi - fx (xi, Yi) |▼ f (xi, Yi)| fy (xi, Yi) Vf(xi, Yi) As -As Gradient: Vf (₁, y) = √(x(i, Yi))² + (fy (i, Yi))² 27 a=0,b=3,c=9 please solve that numerical analysis question on that information.
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