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searching for Conjugate transpose 26 found (142 total)

Complex Wishart distribution (1,761 words) [view diff] no match in snippet view article find links to article

samples and ( . ) H {\displaystyle (.)^{H}} is an Hermitian (complex conjugate) transpose. If the covariance of G is E [ G G H ] = M {\displaystyle \mathbb

Unitary operator (1,264 words) [view diff] exact match in snippet view article find links to article

circuit in quantum computing Unitary matrix – Complex matrix whose conjugate transpose equals its inverse Unitary transformation – Endomorphism preserving

Antihomomorphism (644 words) [view diff] exact match in snippet view article find links to article

involution, one can instead ask φ to be conjugate-linear, as in conjugate transpose, below. It is frequently the case that antiautomorphisms are involutions

Half-power point (702 words) [view diff] exact match in snippet view article find links to article

A ( θ 0 ) ∗ {\displaystyle \mathrm {A} (\theta _{0})^{*}} is the conjugate transpose of A {\displaystyle \mathrm {A} } at the reference angle θ 0 {\displaystyle

Transpose of a linear map (2,716 words) [view diff] exact match in snippet view article find links to article

Composition operator – Linear operator in mathematics Hermitian adjoint – Conjugate transpose of an operator in infinite dimensions Riesz representation theorem –

Regressive discrete Fourier series (1,135 words) [view diff] exact match in snippet view article find links to article

{X}}=(W^{H}W)^{-1}W^{H}x\,} where X H {\displaystyle X^{H}} is the conjugate transpose of X {\displaystyle X} , and the smoothed signal is obtained from:

Jacobi method for complex Hermitian matrices (1,176 words) [view diff] exact match in snippet view article find links to article

})&n=q\end{cases}}\end{aligned}}} A Hermitian matrix, H is defined by the conjugate transpose symmetry property: H † = H ⇔ H i , j = H j , i ∗ {\displaystyle

Generalized inverse (2,592 words) [view diff] exact match in snippet view article find links to article

}A)^{*}=A^{\mathrm {g} }A,} where ∗ {\displaystyle {}^{*}} denotes conjugate transpose. If A g {\displaystyle A^{\mathrm {g} }} satisfies the first condition

Weingarten function (1,407 words) [view diff] exact match in snippet view article find links to article

U_{ji}^{*}=(U^{\dagger })_{ij}} where U † {\displaystyle U^{\dagger }} is the conjugate transpose of U {\displaystyle U} , so one can interpret the above expression

Fourier transform on finite groups (2,039 words) [view diff] no match in snippet view article find links to article

{\displaystyle U=AA^{*}} , where ∗ {\displaystyle ^{*}} denotes conjugate-transpose with respect to x ↦ x q {\displaystyle x\mapsto x^{q}} conjugation

Two-state quantum system (6,605 words) [view diff] exact match in snippet view article find links to article

Multiplying by a Pauli matrix σ i {\displaystyle \sigma _{i}} and the conjugate transpose of the wavefunction, and subsequently expanding the product of two

Rank (linear algebra) (4,390 words) [view diff] exact match in snippet view article

{\displaystyle {\overline {A}}} denotes the complex conjugate of A and A∗ the conjugate transpose of A (i.e., the adjoint of A), then rank ⁡ ( A ) = rank ⁡ ( A ¯ )

Unbounded operator (4,629 words) [view diff] exact match in snippet view article find links to article

this corresponds to the fact that the adjoint of a matrix is its conjugate transpose.) Note that this gives the definition of adjoint in terms of a transpose

Synthetic-aperture radar (11,073 words) [view diff] exact match in snippet view article find links to article

∗ {\displaystyle h_{\omega _{1},\omega _{2}}^{*}} is the complex conjugate transpose of the impulse response of the FIR filter, a ω 1 , ω 2 {\displaystyle

Block matrix (4,799 words) [view diff] exact match in snippet view article find links to article

and the same equation holds with the transpose replaced by the conjugate transpose. A special form of matrix transpose can also be defined for block

Wi-Fi positioning system (3,265 words) [view diff] exact match in snippet view article find links to article

\mathbf {X} ^{H}} (where X H {\displaystyle \mathbf {X} ^{H}} is the conjugate transpose of X {\displaystyle \mathbf {X} } ) and using the vectors corresponding

Characteristic function (probability theory) (5,206 words) [view diff] exact match in snippet view article

{Re} (t^{*}\!X))\right],} where t ∗ {\textstyle t^{*}} is the conjugate transpose of the vector t {\textstyle t} , If X(s) is a stochastic process

Estimation of signal parameters via rotational invariance techniques (2,847 words) [view diff] exact match in snippet view article find links to article

order. The operator † {\textstyle \dagger } denotes the complex-conjugate transpose (Hermitian transpose). Let us assume that T ≥ M {\textstyle T\geq

CP violation (7,592 words) [view diff] exact match in snippet view article find links to article

introducing primed parameters. To construct the CKM matrix, the conjugate transpose of the U {\displaystyle U} matrix for up-type quarks, denoted as

Photon polarization (4,944 words) [view diff] exact match in snippet view article find links to article

† {\displaystyle U^{\dagger }} is the adjoint of U, the complex conjugate transpose of the matrix. The fraction of energy that emerges from the crystal

Rayleigh–Ritz method (5,732 words) [view diff] exact match in snippet view article find links to article

{\displaystyle V^{*}AV} , where V ∗ {\displaystyle V^{*}} denotes the complex-conjugate transpose of V {\displaystyle V} Solve the eigenvalue problem V ∗ A V y i =

Determinant (13,915 words) [view diff] exact match in snippet view article find links to article

conjugate of a complex matrix (which is also the determinant of its conjugate transpose) is the complex conjugate of its determinant, and for integer matrices:

Classical group (7,823 words) [view diff] exact match in snippet view article find links to article

n complex matrix and g ∗ {\displaystyle g^{*}} is defined as the conjugate transpose of g, what physicists call g † {\displaystyle g^{\dagger }} . As

Feynman diagram (16,038 words) [view diff] no match in snippet view article find links to article

k x {\displaystyle A_{kx}^{-1}=e^{-ikx}\,} which is the complex conjugate-transpose, up to factors of 2π. On a finite volume lattice, the determinant

Quantum computational chemistry (3,351 words) [view diff] exact match in snippet view article find links to article

specific quantum state and ⟨ G | {\displaystyle \langle G|} is its conjugate transpose. The efficiency of this method comes from the fact that the unitary

MRI artifact (8,126 words) [view diff] exact match in snippet view article find links to article

{\displaystyle E_{0}=UFC} and E 0 H {\displaystyle E_{0}^{H}} is the conjugate transpose of E 0 {\displaystyle E_{0}} . We have discussed the notion of separating