Definition:Quadratic Functional
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Definition
Let $B \sqbrk {x, y}$ be a bilinear functional.
Let $x = y$.
Then the functional $A \sqbrk x = B \sqbrk {x, x}$ is called a quadratic functional.
Sources
- 1963: I.M. Gelfand and S.V. Fomin: Calculus of Variations ... (previous) ... (next): $\S 5.24$: Quadratic Functionals. The Second Variation of a Functional