Meaning of $lambda$ on convex fnction definition
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What is the meaning (pratical/visual example) and significance of $lambda$ on the definition of a convex function and why is it set on $[0,1]$?
convex-optimization
asked Nov 12 at 16:24
mgani
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What is the meaning (pratical/visual example) and significance of $lambda$ on the definition of a convex function and why is it set on $[0,1]$?
convex-optimization
asked Nov 12 at 16:24
mgani
223
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What is the meaning (pratical/visual example) and significance of $lambda$ on the definition of a convex function and why is it set on $[0,1]$?
convex-optimization
asked Nov 12 at 16:24
mgani
223
What is the meaning (pratical/visual example) and significance of $lambda$ on the definition of a convex function and why is it set on $[0,1]$?
convex-optimization
convex-optimization
asked Nov 12 at 16:24
mgani
223
asked Nov 12 at 16:24
mgani
223
asked Nov 12 at 16:24
mgani
223
asked Nov 12 at 16:24
mgani
223
asked Nov 12 at 16:24
mgani
223
223
add a comment |
add a comment |
1 Answer
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It parameterizes the line segment between two points. For example, part of the definition is $lambda x_1 + (1-lambda)x_2$. For $lambda=1$ this is $x_1$, while for $lambda=0$ this is $x_2$. For $lambda=0.5$ you get the midpoint.
answered Nov 12 at 16:39
LinAlg
7,4941520
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
It parameterizes the line segment between two points. For example, part of the definition is $lambda x_1 + (1-lambda)x_2$. For $lambda=1$ this is $x_1$, while for $lambda=0$ this is $x_2$. For $lambda=0.5$ you get the midpoint.
answered Nov 12 at 16:39
LinAlg
7,4941520
add a comment |
up vote
0
down vote
accepted
It parameterizes the line segment between two points. For example, part of the definition is $lambda x_1 + (1-lambda)x_2$. For $lambda=1$ this is $x_1$, while for $lambda=0$ this is $x_2$. For $lambda=0.5$ you get the midpoint.
answered Nov 12 at 16:39
LinAlg
7,4941520
add a comment |
up vote
0
down vote
accepted
up vote
0
down vote
accepted
It parameterizes the line segment between two points. For example, part of the definition is $lambda x_1 + (1-lambda)x_2$. For $lambda=1$ this is $x_1$, while for $lambda=0$ this is $x_2$. For $lambda=0.5$ you get the midpoint.
answered Nov 12 at 16:39
LinAlg
7,4941520
It parameterizes the line segment between two points. For example, part of the definition is $lambda x_1 + (1-lambda)x_2$. For $lambda=1$ this is $x_1$, while for $lambda=0$ this is $x_2$. For $lambda=0.5$ you get the midpoint.
answered Nov 12 at 16:39
LinAlg
7,4941520
answered Nov 12 at 16:39
LinAlg
7,4941520
answered Nov 12 at 16:39
LinAlg
7,4941520
answered Nov 12 at 16:39
LinAlg
7,4941520
7,4941520
add a comment |
add a comment |
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