Примеры использования Hermitian на Английском языке и их переводы на Русский язык
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The Cholesky decomposition for Hermitian matrices.
Hermitian and generalized Hermitian geometry;
Thus the covariance matrix is a Hermitian matrix.
QR algorithm for complex Hermitian matrices as implemented in SCALAPACK.
For example, it can also be employed for the case of Hermitian matrices.
This means that J is Hermitian, but K is anti-Hermitian.
The representations of A andB used in the construction are Hermitian.
This implies that commutator of two Hermitian matrices is skew-Hermitian.
For Hermitian matrices there is a notable theorem related to the trace of matrix exponentials.
The inverse of an invertible Hermitian matrix is Hermitian as well.
Let M{\displaystyle M} be an n× n{\displaystyle n\times n} Hermitian matrix.
Discrete convexity and Hermitian matrices(with G. Koshevoy).
For Hermitian random matrices with independent entries, this is the Wigner semicircle law.
Among complex matrices, all unitary, Hermitian, and skew-Hermitian matrices are normal.
A Riemannian symmetric space which is additionally equipped with a parallel complex structure compatible with the Riemannian metric is called a Hermitian symmetric space.
Recall that a Hermitian(or real symmetric) matrix has real eigenvalues.
Householder(reflections) method for reducing a complex Hermitian matrix to symmetric tridiagonal form.
It is called hermitian if it is equal to its adjoint:A* A. All hermitian matrices are normal.
Similar constructions can be performed with unitary groups of hermitian forms, a well-known example is the Picard modular group.
For Hermitian matrices, the Divide-and-conquer eigenvalue algorithm is more efficient than the QR algorithm if both eigenvectors and eigenvalues are desired.
If the original matrix was symmetric or hermitian, then the resulting matrix will be tridiagonal.
The CPT theorem says that CPT symmetry holds for all physical phenomena, or more precisely,that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have CPT symmetry.
Every finite-dimensional unitary representation on a Hermitian vector space V{\displaystyle V} is the direct sum of irreducible representations.
Such a manifold is an almost contact metric manifold that is locally equivalent to the direct product of a contact metric manifold and an Hermitian manifold.
An implementation of a block version of the Cholesky decomposition for Hermitian matrices is similar to the case of the block versions for real matrices.
In the QR algorithm for a Hermitian matrix(or any normal matrix), the orthonormal eigenvectors are obtained as a product of the Q matrices from the steps in the algorithm.
If A has only real elements,then the adjoint is just the transpose, and A is hermitian if and only if it is symmetric.
A Hermitian matrix has all real eigenvalues and can always be diagonalized by a unitary matrix P, according to the spectral theorem.
The corresponding object for a complex inner product space is a Hermitian matrix with complex-valued entries, which is equal to its conjugate transpose.
The Tracy-Widom distribution, introduced by Craig Tracy and Harold Widom(1993, 1994),is the probability distribution of the normalized largest eigenvalue of a random Hermitian matrix.