Linear and multilinear algebra; matrix theory Special matrices Concept
Positive definite matrix
Summary
A positive definite matrix is a Hermitian matrix with for every nonzero vector .
Where this leads
49 pages build on this one.
- Positive-definite function on a group
- Derivation of the conjugate gradient method
- Conjugate residual method
- Elliptic partial differential equation
- Minimal residual method
- Minimum degree algorithm
- Loewner order
- Siegel upper half-space
- Successive over-relaxation
- Modified Richardson iteration
- Incomplete Cholesky factorization
- Siegel modular form
- Nested dissection
- Discrete-time algebraic Riccati equation
- Positive line bundle
- Generalized minimal residual method
- Minimum total potential energy principle
- Multigrid method
- Conjugate gradient method
- Algebraic Riccati equation
- Canonical correlation
- Baily–Borel compactification
- Positivity of Hankel matrices of moments
- Linear-quadratic-Gaussian control
- Mixed model
- Riccati differential equation of optimal control
- Gauss–Seidel method
- Linear discriminant analysis
- Mahalanobis distance
- Biconjugate gradient method
- Linear-quadratic regulator
- Ridge regression
- Biconjugate gradient stabilized method
- Radial basis function interpolation
- LOBPCG
- Chebyshev iteration
- Schur complement method
- Verification theorem
- Levenberg–Marquardt algorithm
- Domain decomposition methods
- Schur product theorem
- Separation principle
- Stein equation
- Additive Schwarz method
- Balancing domain decomposition
- Preconditioner
- Generalized least squares
- Symmetric successive over-relaxation
- Chebyshev–Markov–Stieltjes inequalities
Further reading
- Web https://en.wikipedia.org/wiki/Definite_matrix, Definitions
About this page
| Tag | 0KX66CZMBB |
|---|---|
| URI | m2://0KX66CZMBB |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15B57, 15A63 |
| Specializes | Positive semidefinite matrix |
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What this page needs for W2
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- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Definitions
Used by
- Positive-definite function on a group
- Derivation of the conjugate gradient method
- Conjugate residual method
- Elliptic partial differential equation
- Minimum degree algorithm
- Loewner order
- Siegel upper half-space
- Successive over-relaxation
- Modified Richardson iteration
- Incomplete Cholesky factorization
- Nested dissection
- Discrete-time algebraic Riccati equation
- Positive line bundle
- Minimum total potential energy principle
- Conjugate gradient method
- Algebraic Riccati equation
- Canonical correlation
- Positivity of Hankel matrices of moments
- Linear-quadratic-Gaussian control
- Mixed model
- Riccati differential equation of optimal control
- Gauss–Seidel method
- Linear discriminant analysis
- Mahalanobis distance
- Biconjugate gradient method
- Linear-quadratic regulator
- Ridge regression
- Radial basis function interpolation
- LOBPCG
- Chebyshev iteration
- Schur complement method
- Levenberg–Marquardt algorithm
- Domain decomposition methods
- Schur product theorem
- Stein equation
- Additive Schwarz method
- Preconditioner
- Generalized least squares
- Symmetric successive over-relaxation
- Chebyshev–Markov–Stieltjes inequalities