6.26 Let f : R² -- R. Consider the problem minimize f(æ) subject to r1, r2 2 0, where a = [r1, r2]T. Suppose that Vf(0) # 0, and se (0) < 0, se dx2 Show that 0 cannot be a minimizer for this problem.
6.26 Let f : R² -- R. Consider the problem minimize f(æ) subject to r1, r2 2 0, where a = [r1, r2]T. Suppose that Vf(0) # 0, and se (0) < 0, se dx2 Show that 0 cannot be a minimizer for this problem.
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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![6.26 Let f : R² -- R. Consider the problem
minimize f(æ)
subject to r1, r2 2 0,
where a = [r1, r2]T. Suppose that Vf(0) # 0, and
se
(0) < 0,
se
dx2
Show that 0 cannot be a minimizer for this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4abeee3d-c79d-4492-b4d7-52bc9de0d6f3%2F6a111d5e-b305-419d-889d-debe62966953%2Fx2dgkrb.jpeg&w=3840&q=75)
Transcribed Image Text:6.26 Let f : R² -- R. Consider the problem
minimize f(æ)
subject to r1, r2 2 0,
where a = [r1, r2]T. Suppose that Vf(0) # 0, and
se
(0) < 0,
se
dx2
Show that 0 cannot be a minimizer for this problem.
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