The optimum of a function based on directional optimals
In a problem of minimizing a (linear funtion) under (nonlinear) constraints, I found that a solution $x*$ solves the problem in each of the directions.
Can I say that $x*$ solves the problem in a neighberhood of $x*$ as well?
If not, what are the conditions on the functions/constraints to make such a conclusion?
optimization nonlinear-optimization
asked Nov 27 '18 at 16:31
yas are
556
add a comment |
In a problem of minimizing a (linear funtion) under (nonlinear) constraints, I found that a solution $x*$ solves the problem in each of the directions.
Can I say that $x*$ solves the problem in a neighberhood of $x*$ as well?
If not, what are the conditions on the functions/constraints to make such a conclusion?
optimization nonlinear-optimization
asked Nov 27 '18 at 16:31
yas are
556
add a comment |
In a problem of minimizing a (linear funtion) under (nonlinear) constraints, I found that a solution $x*$ solves the problem in each of the directions.
Can I say that $x*$ solves the problem in a neighberhood of $x*$ as well?
If not, what are the conditions on the functions/constraints to make such a conclusion?
optimization nonlinear-optimization
asked Nov 27 '18 at 16:31
yas are
556
In a problem of minimizing a (linear funtion) under (nonlinear) constraints, I found that a solution $x*$ solves the problem in each of the directions.
Can I say that $x*$ solves the problem in a neighberhood of $x*$ as well?
If not, what are the conditions on the functions/constraints to make such a conclusion?
optimization nonlinear-optimization
optimization nonlinear-optimization
asked Nov 27 '18 at 16:31
yas are
556
asked Nov 27 '18 at 16:31
yas are
556
asked Nov 27 '18 at 16:31
yas are
556
asked Nov 27 '18 at 16:31
yas are
556
asked Nov 27 '18 at 16:31
yas are
556
556
add a comment |
add a comment |
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