Results 51 to 60 of about 1,893 (124)

Remarks on Afriat's theorem and the Monge-Kantorovich problem

, 2022
S.501-505The famous Afriat's theorem from the theory of revealed preferences establishes necessary and sufficient conditions for the existence of utility function for a given set of choices and prices. The result on the existence of a homogeneous utility
Kudryavtseva, O.V., Nagapetyan, T., Kolesnikov, A.V.   +2 more
core   +1 more source

A parametric Kantorovich theorem with application to tolerance synthesis

, 2018
International audienceWe propose a parametric Kantorovich theorem, which will achieve these two tasks. The idea is to compute worst case Kantorovich constants with respect to parameters q using a branch and bound algorithm dedicated to nonlinear ...
Goldsztejn, Alexandre, Chabert, Gilles, Caro, Stéphane   +2 more
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A weak Kantorovich existence theorem for the solution of nonlinear equations

, 2008
The Kantorovich theorem is a fundamental tool in nonlinear analysis for proving the existence and uniqueness of solutions of nonlinear equations arising in various fields.
Uko, Livinus U., Argyros, Ioannis K.
core   +1 more source

A Newton–Kantorovich theorem for equations involving m-Fréchet differentiable operators and applications in radiative transfer

Journal of Computational and Applied Mathematics, 2001
The author studies the problem of approximating a locally unique solution of a nonlinear operator equation \( F(x)=0\), where \(F\) is an \(m\)-times Fréchet-differentiable operator (\(m \geq 2\) is a positive integer) defined on a convex subset \(D\) of a Banach space \(E_1\) with values in a Banach space \(E_2\).
openaire   +1 more source

Production equilibria [PDF]

This paper studies production economies in a commodity space that is an ordered locally convex space. We establish a general theorem on the existence of equilibrium without requiring that the commodity space or its dual be a vector lattice.
Monique Florenzano, Charalambos Aliprantis, Rabee Tourky   +2 more
core  

A path-following method for linear complementarity problems based on the affine invariant Kantorovich Theorem

, 2000
A path following algorithm for linear complementarity problems is presented. Given a point $z$ that approximates a point $z(\tau)$ on the central path with complementarity gap $\tau$, one determines a parameter $\theta\in (0,1)$ so that this point ...
Potra, Florian
core   +1 more source

Efficient Discrete Optimal Transport Algorithm by Accelerated Gradient Descent. [PDF]

Proc AAAI Conf Artif Intell, 2022
An D, Lei N, Xu X, Gu X.
europepmc   +1 more source

Entropy-Regularized Optimal Transport on Multivariate Normal and q-normal Distributions. [PDF]

Entropy (Basel), 2021
Tong Q, Kobayashi K.
europepmc   +1 more source

A modification of the classical Kantorovich conditions for Newton's method [PDF]

, 2001
In the classical Kantorovich theorem on Newton's method it is assumed that the second Fréchet derivative of the involved operator satisfies the condition ||F″(x)||⩽K in an appropiate domain.
Hernández, null [0000-0001-5478-2958], Hernández, M.A.   +1 more
core   +1 more source

Missing link survival analysis with applications to available pandemic data. [PDF]

Comput Stat Data Anal, 2022
Gámiz ML, Mammen E, Martínez-Miranda MD, Nielsen JP.   +3 more
europepmc   +1 more source