Mixing
making sure we found all the extremals
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 '18 at 13:52
sam soft
176
|
show 1 more comment
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 '18 at 13:52
sam soft
176
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 '18 at 13:53
not so sure always.
– sam soft
Nov 11 '18 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 '18 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 '18 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 '18 at 15:23
|
show 1 more comment
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 '18 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 '18 at 13:52
sam soft
176
asked Nov 11 '18 at 13:52
sam soft
176
asked Nov 11 '18 at 13:52
sam soft
176
asked Nov 11 '18 at 13:52
sam soft
176
asked Nov 11 '18 at 13:52
sam soft
176
176
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 '18 at 13:53
not so sure always.
– sam soft
Nov 11 '18 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 '18 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 '18 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 '18 at 15:23
|
show 1 more comment
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 '18 at 13:53
not so sure always.
– sam soft
Nov 11 '18 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 '18 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 '18 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 '18 at 15:23
1
1
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 '18 at 13:53
By being careful not to drop any solutions on the way?
– Hagen von Eitzen
Nov 11 '18 at 13:53
not so sure always.
– sam soft
Nov 11 '18 at 13:54
not so sure always.
– sam soft
Nov 11 '18 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 '18 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 '18 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 '18 at 15:22
Do you have a specific example in mind?
– saulspatz
Nov 11 '18 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 '18 at 15:23
@smcc Yes i meant the same
– sam soft
Nov 11 '18 at 15:23
|
show 1 more comment
1 Answer
1
active
oldest
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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 '18 at 11:57
Farid Hasanov
13
add a comment |
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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 '18 at 11:57
Farid Hasanov
13
add a comment |
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 '18 at 11:57
Farid Hasanov
13
add a comment |
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 '18 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 '18 at 11:57
Farid Hasanov
13
answered Nov 21 '18 at 11:57
Farid Hasanov
13
answered Nov 21 '18 at 11:57
Farid Hasanov
13
answered Nov 21 '18 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 '18 at 13:53
not so sure always.
– sam soft
Nov 11 '18 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 '18 at 15:21
Do you have a specific example in mind?
– saulspatz
Nov 11 '18 at 15:22
@smcc Yes i meant the same
– sam soft
Nov 11 '18 at 15:23