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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 18OE
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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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