Jacobian

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Jacobian

(dʒəˈkəʊbɪən) or

Jacobian determinant

n
(Mathematics) maths a function from n equations in n variables whose value at any point is the n x n determinant of the partial derivatives of those equations evaluated at that point
[named after Karl Gustav Jacob Jacobi]
Translations
jacobien
References in periodicals archive ?
Jacobians indicate the sensitivities of brightness temperature (BT) viewed by the satellite to the changes of atmospheric parameters, such as air temperature, water vapor, and ozone.
The Jacobians of the changes of variables [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are equal to a.
In the framework of unified projection model, invariant features and feature jacobians are designed combining virtual unitary spherical projection and perspective projection.
The Jacobians of each kth NN ensemble member (m x n matrix of the first derivatives of the NN outputs over the input),
In Section 2 we give some background information, especially about the Jacobians which we need to evaluate the integrals.
Topics of the 13 papers include products and powers of linear codes under component wise multiplication, the geometry of efficient arithmetic on elliptic curves, 2-2-2 isogenics between Jacobians of hyperelliptic curves, a point counting algorithm for cyclic covers of the projective line, genetics of polynomials over local fields, and smooth embeddings for the Suzuki and Ree curves.
F and G are represent the Jacobians of motion function f([x.
More recently, special cases of the sweep map have arisen while studying lattice paths in squares [18]; partition statistics [17]; simultaneous corepartitions [2]; and compactified Jacobians [10,11].
Based on the number of global iterations and the CPU time, the best strategies are the Newton Raphson method in a double iteration scheme with numerical (NR2INJ) and analytical (NR2IAJ) Jacobians.
A Family of Jacobians suitable for discrete log cryptosystems, Advances in Cryptology-Crypto'88, LNCS 403, Springer-Verlag, pp.
They also examine Jacobians and Hessians, including observations on efficiency, advances in reversals, including reversal schedules and check pointing, Taylor and tensor coefficients, differentiation without differentiability, and implicit and iterative differentiation.
The main aim of this paper is to show that the Newton method based on the plenary hull of the Clarke generalized Jacobians (the non-smooth damped Newton method) can be implemented for solving Lipschitz non-smooth equation.