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Longer titles found: Skew-Hermitian matrix (view), Moore determinant of a Hermitian matrix (view)

searching for hermitian matrix 24 found (138 total)

EP matrix (577 words) [view diff] exact match in snippet view article find links to article

In mathematics, an EP matrix (or range-Hermitian matrix or RPN matrix) is a square matrix A whose range is equal to the range of its conjugate transpose

Concurrence (quantum computing) (650 words) [view diff] exact match in snippet view article

..,\lambda _{4}} are the eigenvalues, in decreasing order, of the Hermitian matrix R = ρ ρ ~ ρ {\displaystyle R={\sqrt {{\sqrt {\rho }}{\tilde {\rho }}{\sqrt

Hadamard variation formula (734 words) [view diff] exact match in snippet view article find links to article

of differential equations for how the eigenvalues of a time-varying Hermitian matrix with distinct eigenvalues change with time. Consider the space of n

Nathan Jacobson (1,198 words) [view diff] exact match in snippet view article find links to article

Jacobson, N. (1939). "An application of E. H. Moore's determinant of a hermitian matrix". Bull. Amer. Math. Soc. 45 (10): 745–748. doi:10.1090/s0002-9904-1939-07072-9

Superadditivity (776 words) [view diff] exact match in snippet view article find links to article

f(x)+f(y).} The determinant is superadditive for nonnegative Hermitian matrix, that is, if A , B ∈ Mat n ( C ) {\displaystyle A,B\in {\text{Mat}}_{n}(\mathbb

Rayleigh quotient iteration (816 words) [view diff] exact match in snippet view article find links to article

0 {\displaystyle \mu _{0}} as an initial eigenvalue guess for the Hermitian matrix A {\displaystyle A} . An initial vector b 0 {\displaystyle b_{0}} must

Accidental symmetry (722 words) [view diff] exact match in snippet view article find links to article

in the Hydrogenic eigenspectrum. For another example, consider the Hermitian matrix: [ 0 − 0.5 − 0.5 0.5 − 0.5 − 2 0 0 − 0.5 0 0 0 0.5 0 0 2 ] {\displaystyle

Plurisubharmonic function (1,268 words) [view diff] exact match in snippet view article find links to article

, then f {\displaystyle f} is plurisubharmonic if and only if the hermitian matrix L f = ( λ i j ) {\displaystyle L_{f}=(\lambda _{ij})} , called Levi

Determinantal point process (1,537 words) [view diff] exact match in snippet view article find links to article

} for every bounded Borel A ⊆ Λ. The eigenvalues of a random m × m Hermitian matrix drawn from the Gaussian unitary ensemble (GUE) form a determinantal

Bernstein inequalities (probability theory) (1,399 words) [view diff] exact match in snippet view article

{Re} (g^{H}a)} be a scalar where A {\displaystyle A} is a complex Hermitian matrix and a {\displaystyle a} is complex vector of size N {\displaystyle

MUSIC (algorithm) (2,161 words) [view diff] exact match in snippet view article

eigenspace method. Since R x {\displaystyle \mathbf {R} _{x}} is a Hermitian matrix, all of its M {\displaystyle M} eigenvectors { v 1 , v 2 , … , v M

Quantum spacetime (3,166 words) [view diff] exact match in snippet view article find links to article

defined here for real values of q {\displaystyle q} as a 'braided hermitian matrix' of generators and relations ( α β γ δ ) = ( α β γ δ ) † , β α = q

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

these four matrix elements H i j {\displaystyle H_{ij}} produce a 2×2 hermitian matrix, H = ( ⟨ 1 | H | 1 ⟩ ⟨ 1 | H | 2 ⟩ ⟨ 2 | H | 1 ⟩ ⟨ 2 | H | 2 ⟩ ) =

Grand Unified Theory (4,149 words) [view diff] exact match in snippet view article find links to article

octonion being an 8-vector. If the 3 generations are then put in a 3x3 hermitian matrix with certain additions for the diagonal elements then these matrices

Dirac algebra (2,342 words) [view diff] exact match in snippet view article find links to article

transposing is done with respect to the spacetime greek indices) gives a 'Hermitian matrix' of sigma generators only 6 of which are non-zero due to antisymmetry

Grassmann number (3,868 words) [view diff] exact match in snippet view article find links to article

unitarity, we can evaluate a general Gaussian integral involving a Hermitian matrix B with eigenvalues bi, ( ∏ i ∫ d θ i ∗ d θ i ) e − θ i ∗ B i j θ j

Dirac spinor (4,743 words) [view diff] exact match in snippet view article find links to article

Pauli 4-vectors and ⋅ {\displaystyle {\sqrt {\cdot }}} denotes the Hermitian matrix square-root. In many practical calculations, it is convenient to choose

Robert Charles Thompson (1,305 words) [view diff] exact match in snippet view article find links to article

1080/03081089108818072. Thompson, Robert C. (1992). "The eigenvalue spreads of a hermitian matrix and its principal submatrices". Linear and Multilinear Algebra. 32

Lie algebra (10,471 words) [view diff] exact match in snippet view article find links to article

not over C {\displaystyle \mathbb {C} } . (Indeed, i times a skew-hermitian matrix is hermitian, rather than skew-hermitian.) Likewise, the unitary group

Michael Atiyah (8,812 words) [view diff] exact match in snippet view article find links to article

Schur and Horn states that the set of possible diagonal vectors of an Hermitian matrix with given eigenvalues is the convex hull of all the permutations of

Topological recursion (4,390 words) [view diff] exact match in snippet view article find links to article

1, Number 2, p347-452. B. Eynard, Topological expansion for the 1-hermitian matrix model correlation functions, JHEP/024A/0904, hep-th/0407261 A short

List of numerical analysis topics (8,335 words) [view diff] exact match in snippet view article find links to article

matrix Polar decomposition — unitary matrix times positive-semidefinite Hermitian matrix Decompositions by similarity: Eigendecomposition — decomposition in

Incremental deformations (2,954 words) [view diff] exact match in snippet view article find links to article

{G}}_{4}=({\bf {G}}_{1})^{*}} , i.e. G 4 {\displaystyle {\bf {G}}_{4}} is the hermitian matrix of G 1 {\displaystyle {\bf {G}}_{1}} . The Stroh formalism provides

Symmetry of diatomic molecules (7,820 words) [view diff] exact match in snippet view article find links to article

The observable corresponding to the generator Hermitian matrix, is conserved. The derivative of the expectation value of the operator T can be written