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searching for Matrix exponential 22 found (107 total)

Matrix-exponential distribution (379 words) [view diff] no match in snippet view article find links to article

In probability theory, the matrix-exponential distribution is an absolutely continuous distribution with rational Laplace–Stieltjes transform. They were

Rational arrival process (189 words) [view diff] no match in snippet view article find links to article

extends the concept of a Markov arrival process, allowing for dependent matrix-exponential distributed inter-arrival times. The processes were first characterised

Product of exponentials formula (1,116 words) [view diff] exact match in snippet view article find links to article

^{T}v\theta } where I is the 3x3 identity matrix. For each joint i, the matrix exponential e ξ ^ i θ i {\textstyle e^{{\hat {\xi }}_{i}\theta _{i}}} for a given

Multivariate Laplace distribution (1,093 words) [view diff] no match in snippet view article find links to article

Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-type

Wilks's lambda distribution (635 words) [view diff] no match in snippet view article find links to article

Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-type

Elliptical distribution (1,744 words) [view diff] no match in snippet view article find links to article

Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-type

Validated numerics (1,341 words) [view diff] exact match in snippet view article find links to article

Applications, 569, 38-61. Miyajima, S. (2019). Verified computation of the matrix exponential. Advances in Computational Mathematics, 45(1), 137-152. Johansson

2-EPT probability density function (513 words) [view diff] exact match in snippet view article find links to article

{c}}_{N}e^{{\textbf {A}}_{N}x}{\textbf {b}}_{N},} where e represents a matrix exponential, ( A N , A P ) {\displaystyle ({\textbf {A}}_{N},{\textbf {A}}_{P})}

Autonomous system (mathematics) (2,457 words) [view diff] case mismatch in snippet view article

Brooks/Cole Publishing Co. pp. 540–543. ISBN 0-495-01265-3. "Method of Matrix Exponential". Math24. Retrieved 28 February 2021. Vardia T. Haimo (1985). "Finite

Rodrigues' rotation formula (1,881 words) [view diff] exact match in snippet view article find links to article

s o ( 3 ) {\displaystyle {\mathfrak {so}}(3)} ). In terms of the matrix exponential, R = exp ⁡ ( θ K ) . {\displaystyle \mathbf {R} =\exp(\theta \mathbf

Multivariate normal distribution (9,369 words) [view diff] no match in snippet view article find links to article

Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-type

Adjoint representation (3,506 words) [view diff] exact match in snippet view article find links to article

{\mathfrak {g}}} consists of matrices and the exponential map is the matrix exponential exp ⁡ ( X ) = e X {\displaystyle \operatorname {exp} (X)=e^{X}} for

QuTiP (951 words) [view diff] exact match in snippet view article find links to article

70710678+0.j ] [ 0. +0.70710678j]] ], dtype=object)) >>> (1j * A).expm() # matrix exponential of an operator Quantum object: dims = [[2], [2]], shape = (2, 2),

Self-organizing map (4,068 words) [view diff] exact match in snippet view article find links to article

The homogeneous Gaussian neighborhood function is replaced with the matrix exponential. Thus one can specify the orientation either in the map space or in

David Cox (statistician) (2,042 words) [view diff] no match in snippet view article

Known for Cox proportional hazards model Cox process Box-Cox transform Matrix-exponential distribution Method of supplementary variables Stochastic processes

Kreiss matrix theorem (802 words) [view diff] exact match in snippet view article find links to article

of the Kreiss constant with respect to the left-half plane and the matrix exponential: K l h p ( A ) ≤ sup t ≥ 0 ‖ e t A ‖ ≤ e n K l h p ( A ) {\displaystyle

Centrality (6,792 words) [view diff] exact match in snippet view article find links to article

the number of walks of length given by that power. Similarly, the matrix exponential is also closely related to the number of walks of a given length.

Screw theory (4,418 words) [view diff] exact match in snippet view article find links to article

[T(t)] that has a constant twist matrix [S]. The solution is the matrix exponential [ T ( t ) ] = e [ S ] t . {\displaystyle [T(t)]=e^{[S]t}.} This formulation

Local linearization method (12,708 words) [view diff] no match in snippet view article find links to article

In numerical analysis, the local linearization (LL) method is a general strategy for designing numerical integrators for differential equations based on

Jacobi eigenvalue algorithm (4,683 words) [view diff] exact match in snippet view article find links to article

e + ) E b {\displaystyle x=S^{+}b=E^{T}{\mbox{Diag}}(e^{+})Eb} . Matrix exponential From S = E T Diag ( e ) E {\displaystyle S=E^{T}{\mbox{Diag}}(e)E}

Bell polynomials (7,666 words) [view diff] case mismatch in snippet view article find links to article

as BellY Maple as IncompleteBellB SageMath as bell_polynomial Bell matrix Exponential formula Comtet 1974. Cvijović 2011. Alexeev, Pologova & Alekseyev

Computational anatomy (16,900 words) [view diff] exact match in snippet view article find links to article

simple ordinary differential equations with solutions given by the matrix exponential. For the study of deformable shape in computational anatomy, a more