Linear and multilinear algebra; matrix theory Special matrices Concept
Hermitian matrix
Summary
A Hermitian matrix is a complex square matrix that is equal to its conjugate transpose.
Where this leads
24 pages build on this one.
- Derivation of the conjugate gradient method
- Conjugate residual method
- Minimal residual method
- Interlacing of zeros of orthogonal polynomials
- Loewner order
- Cauchy interlacing theorem
- Poincaré group
- Courant–Fischer characterization of characteristic values
- Generalized minimal residual method
- Arnoldi iteration
- Courant–Fischer min-max theorem
- Wigner's classification
- SL(2,C)
- Biconjugate gradient stabilized method
- Kleinian group
- Operator monotone function
- Löwner's theorem
- Lorentz group
- Representation theory of the Lorentz group
- Weyl's inequality
- Stein equation
- Schur–Horn theorem
- Golden–Thompson inequality
- Lyapunov equation
Further reading
- Web https://en.wikipedia.org/wiki/Hermitian_matrix, lead section
About this page
| Tag | 0P17NGQQMQ |
|---|---|
| URI | m2://0P17NGQQMQ |
| Aliases | self-adjoint-matrix |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15B57 |
| Specializes | Normal matrix |
| 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)
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What links here
Special cases
Definitions
Used by
- Loewner order
- Cauchy interlacing theorem
- Arnoldi iteration
- Courant–Fischer min-max theorem
- SL(2,C)
- Operator monotone function
- Löwner's theorem
- Weyl's inequality
- Stein equation
- Schur–Horn theorem
- Golden–Thompson inequality
- Lyapunov equation