Compute direction of deepest descent using direction of the

Reference no: EM13473119

Given the Unconstrained Function,

F = x1² + 1/x1 + x2 + 1/x2

Question(a) At x1 =2 & x2 = 2, calculate gradient of F.

Question(b) And then, calculate the direction of the deepest descent.

Question(c) Using the direction of the steepest descent from (b), update the design by the standard formula: x¹ = x° + αS¹

Evaluate x1, x2& F for α=0, 0.2, 0.5, & 1.0 and plot the curve of F versus α.

Question(d) Write the equation for F in terms of α alone. Discuss the character of the function.

Question(e) From (d), calculate dF/dα at α=0.

Question(f) Calculate the scalar product ∇F•S using the results of (a) and (b) and compare this with the result of (e).

Reference no: EM13473119

Questions Cloud

Olivia goes to egypt and saw a model of triangle shaped : olivia goes to egypt and saw a model of triangle shaped pyramid. she enlarged it using a scale factor of 1.2. what will

What percentage of the total variability in monthly rent is : in the spring of 2013 data was collected for 30 randomly selected apartments in the san diego area in an attempt to

In a sample with mean x 12 and standard deviation s 35 a : 1. which of the following statements is true?a. when taking a sample from the population the variable involved will

Describe how the guidelines for growth would align with the : imagine you are the newly appointed microsoft hrl who works in the u.s. but is responsible for the singapore operation.

Compute direction of deepest descent using direction of the : given the unconstrained functionf nbspnbsp x1sup2nbsp nbsp 1x1nbsp nbsp x2nbsp nbsp 1x2questiona atnbsp x1

A population of 200 voters contains 78 republicans 120 : a population of 200 voters contains 78 republicans 120 democrats and 2 independents and members of other parties. a

Assume that your organizations president has been asking : imagine that your organizations president has been asking you as the human resource leadership practitioner to ensure

Based on our sample data set perform a 2-sample t-test to : complete the problems below and submit your work in an excel document. be sure to show all of your work and clearly

Determine the indefinite integral using the formulas from : find the indefinite integral using the formulas from theorem 5.20. remember to use ln u where appropriate. dx x 9

User Account

All Pages