Linear and multilinear algebra; matrix theory Bilinear and quadratic forms Concept
Bilinear form
Summary
A bilinear form on a vector space is a map of two vectors to the scalars. It is linear in each vector when the other vector is fixed.
Where this leads
20 pages build on this one.
- Céa's lemma
- Hyperbolic law of cosines
- Hyperboloid model
- Lax–Milgram theorem
- Coercive bilinear form
- Frobenius algebra
- Minimum total potential energy principle
- Lie sphere geometry
- Finite element method
- Mixed finite element method
- Stiffness matrix
- Dirichlet form
- Polarity
- Galerkin method
- Classical group
- Geometric algebra
- Petrov–Galerkin method
- Ladyzhenskaya–Babuška–Brezzi condition
- Dual pair
- Symplectic vector space
Further reading
- Web https://en.wikipedia.org/wiki/Bilinear_form, lead section
About this page
| Tag | 0SQZMXB6GP |
|---|---|
| URI | m2://0SQZMXB6GP |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A63 |
| Specializes | Multilinear map |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Definitions
Used by
- Céa's lemma
- Hyperboloid model
- Lax–Milgram theorem
- Coercive bilinear form
- Frobenius algebra
- Lie sphere geometry
- Finite element method
- Mixed finite element method
- Stiffness matrix
- Dirichlet form
- Polarity
- Galerkin method
- Classical group
- Geometric algebra
- Petrov–Galerkin method
- Ladyzhenskaya–Babuška–Brezzi condition
- Dual pair
- Symplectic vector space