Local maximum and minimum
Summary
A function of several real variables has a local maximum at a point when no nearby point of the domain gives a larger value. It has a local minimum when no nearby point gives a smaller value, and a local extremum is either of the two.
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What this needs
To read this node, read these 4 nodes in this order. The foundations come first, and the list ends with this node.
- no evidence level
- Euclidean space object
- Function concept
- Function of several variables concept
- Local maximum and minimum concept
What depends on this
4 nodes use this node, directly or through other nodes.
- Lagrange multiplier with one constraint 04A2XEX4D4
- Constrained optimisation 0EPW94MJ1P
- Saddle point 0JW6MDHAZD
- Lagrange multipliers 0VKKP8X6Q6
Sources
What links here
Definitions
- Local maximum and minimum 04CPG9K1C4
Used by
- Constrained optimisation 0EPW94MJ1P
- Saddle point 0JW6MDHAZD