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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d6167a8-3880-4dcb-ba20-eea3b96b31aa%2F9bb484f9-2804-40bb-95d5-c96762b6f63b%2F0sacody.jpeg&w=3840&q=75)
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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