making sure we found all the extremals
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I am curios to know whether there is anyway to be sure that we found all the stationary points using Lagrange multiplier method.?
Thank you.
derivatives lagrange-multiplier maxima-minima
asked Nov 11 at 13:52
sam soft
176
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show 1 more comment
up vote
0
down vote
favorite
I am curios to know whether there is anyway to be sure that we found all the stationary points using Lagrange multiplier method.?
Thank you.
derivatives lagrange-multiplier maxima-minima
asked Nov 11 at 13:52
sam soft
176
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 at 13:53
not so sure always.
– sam soft
Nov 11 at 13:54
Your title and your question seem to be about two different things. Are you asking how can you be sure that you find all the maximizers and/or minimizers using the Lagrange multiplier mehtod, or are you asking how can you be sure you found all the stationary points of the Lagrangean? (These are different questions because the maximizer and/or minimizer may not be stationary points of the Lagrangean.)
– smcc
Nov 11 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 at 15:23
|
show 1 more comment
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am curios to know whether there is anyway to be sure that we found all the stationary points using Lagrange multiplier method.?
Thank you.
derivatives lagrange-multiplier maxima-minima
asked Nov 11 at 13:52
sam soft
176
I am curios to know whether there is anyway to be sure that we found all the stationary points using Lagrange multiplier method.?
Thank you.
derivatives lagrange-multiplier maxima-minima
derivatives lagrange-multiplier maxima-minima
asked Nov 11 at 13:52
sam soft
176
asked Nov 11 at 13:52
sam soft
176
asked Nov 11 at 13:52
sam soft
176
asked Nov 11 at 13:52
sam soft
176
asked Nov 11 at 13:52
sam soft
176
176
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 at 13:53
not so sure always.
– sam soft
Nov 11 at 13:54
Your title and your question seem to be about two different things. Are you asking how can you be sure that you find all the maximizers and/or minimizers using the Lagrange multiplier mehtod, or are you asking how can you be sure you found all the stationary points of the Lagrangean? (These are different questions because the maximizer and/or minimizer may not be stationary points of the Lagrangean.)
– smcc
Nov 11 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 at 15:23
|
show 1 more comment
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 at 13:53
not so sure always.
– sam soft
Nov 11 at 13:54
Your title and your question seem to be about two different things. Are you asking how can you be sure that you find all the maximizers and/or minimizers using the Lagrange multiplier mehtod, or are you asking how can you be sure you found all the stationary points of the Lagrangean? (These are different questions because the maximizer and/or minimizer may not be stationary points of the Lagrangean.)
– smcc
Nov 11 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 at 15:23
1
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 at 13:53
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 at 13:53
not so sure always.
– sam soft
Nov 11 at 13:54
not so sure always.
– sam soft
Nov 11 at 13:54
Your title and your question seem to be about two different things. Are you asking how can you be sure that you find all the maximizers and/or minimizers using the Lagrange multiplier mehtod, or are you asking how can you be sure you found all the stationary points of the Lagrangean? (These are different questions because the maximizer and/or minimizer may not be stationary points of the Lagrangean.)
– smcc
Nov 11 at 15:21
Your title and your question seem to be about two different things. Are you asking how can you be sure that you find all the maximizers and/or minimizers using the Lagrange multiplier mehtod, or are you asking how can you be sure you found all the stationary points of the Lagrangean? (These are different questions because the maximizer and/or minimizer may not be stationary points of the Lagrangean.)
– smcc
Nov 11 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 at 15:22
Do you have a specific example in mind?
– saulspatz
Nov 11 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 at 15:23
@smcc Yes i meant the same
– sam soft
Nov 11 at 15:23
|
show 1 more comment
1 Answer
1
active
oldest
votes
up vote
0
down vote
Following the procedure going, without any guessing involved, and not dropping any solutions on the way(for example, +- issue) one can be sure, that there were no stationary points left out. You can be sure in that, for example, if you look at the derivation of Euler-Lagrange theorem.
answered Nov 21 at 11:57
Farid Hasanov
13
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Following the procedure going, without any guessing involved, and not dropping any solutions on the way(for example, +- issue) one can be sure, that there were no stationary points left out. You can be sure in that, for example, if you look at the derivation of Euler-Lagrange theorem.
answered Nov 21 at 11:57
Farid Hasanov
13
add a comment |
up vote
0
down vote
Following the procedure going, without any guessing involved, and not dropping any solutions on the way(for example, +- issue) one can be sure, that there were no stationary points left out. You can be sure in that, for example, if you look at the derivation of Euler-Lagrange theorem.
answered Nov 21 at 11:57
Farid Hasanov
13
add a comment |
up vote
0
down vote
up vote
0
down vote
Following the procedure going, without any guessing involved, and not dropping any solutions on the way(for example, +- issue) one can be sure, that there were no stationary points left out. You can be sure in that, for example, if you look at the derivation of Euler-Lagrange theorem.
answered Nov 21 at 11:57
Farid Hasanov
13
Following the procedure going, without any guessing involved, and not dropping any solutions on the way(for example, +- issue) one can be sure, that there were no stationary points left out. You can be sure in that, for example, if you look at the derivation of Euler-Lagrange theorem.
answered Nov 21 at 11:57
Farid Hasanov
13
answered Nov 21 at 11:57
Farid Hasanov
13
answered Nov 21 at 11:57
Farid Hasanov
13
answered Nov 21 at 11:57
Farid Hasanov
13
13
add a comment |
add a comment |
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1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 at 13:53
not so sure always.
– sam soft
Nov 11 at 13:54
Your title and your question seem to be about two different things. Are you asking how can you be sure that you find all the maximizers and/or minimizers using the Lagrange multiplier mehtod, or are you asking how can you be sure you found all the stationary points of the Lagrangean? (These are different questions because the maximizer and/or minimizer may not be stationary points of the Lagrangean.)
– smcc
Nov 11 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 at 15:23