Results 11 to 20 of about 36,965 (299)

On convex quadratic approximation [PDF]

open access: yesStatistica Neerlandica, 2000
Summary: Let \(n\geq1\) and \(f\) a convex function. Given distinct points \(z_1, z_2,\ldots, z_N\) in \(\mathbb R^n\) we consider the problem of finding a quadratic function \(g\)such that \(|| [f(z_1)-g(z_1),\ldots,f(z_N)-g(z_N)]||\) is minimal for a given norm \(||\cdot||\).
den Hertog, D., de Klerk, E., Roos, J.
openaire   +6 more sources

The quadratic hermite-padé approximation [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1989
Summary: This is an abstract of the author's thesis. This thesis is concerned with the existence, behaviour and performance of the quadratic Hermite-Padé approximation. It starts with the definition of the general Hermite- Padé approximation. Some of the problems which arise, particularly those of finding Hermite-Padé forms and the existence of ...
Brookes, Richard G.
openaire   +4 more sources

Convex Approximation by Quadratic Splines

open access: yesJournal of Approximation Theory, 1993
The author estimates the error of approximation by \(C^ 1\)-convex quadratic splines of a given convex function \(f\) without any smoothness requirements on its derivative in terms of \(\omega_ 3(f,{1 \over n})\). Actually, he proves the following main Theorem: Let \(f \in C[0,1]\) be a convex, and \(n\) a positive integer.
Hu, Y.K.
openaire   +3 more sources

Approximating sparse quadratic programs

open access: yesTheoretical Computer Science, 2022
Given a matrix $A \in \mathbb{R}^{n\times n}$, we consider the problem of maximizing $x^TAx$ subject to the constraint $x \in \{-1,1\}^n$. This problem, called MaxQP by Charikar and Wirth [FOCS'04], generalizes MaxCut and has natural applications in data clustering and in the study of disordered magnetic phases of matter. Charikar and Wirth showed that
Danny Hermelin   +3 more
openaire   +3 more sources

Hierarchical distributed optimization of constraint-coupled convex and mixed-integer programs using approximations of the dual function

open access: yesEURO Journal on Computational Optimization, 2023
In this paper, two new algorithms for dual decomposition-based distributed optimization are presented. Both algorithms rely on the quadratic approximation of the dual function of the primal optimization problem.
Vassilios Yfantis   +4 more
doaj   +1 more source

Convex Quadratic Approximation [PDF]

open access: yesComputational Optimization and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Ben Rosen, Roummel F. Marcia
openaire   +2 more sources

On Linear-Quadratic Approximations [PDF]

open access: yesSSRN Electronic Journal, 2006
We prove the generality of the methodology proposed in Benigno and Woodford (2006). We show that, even in the presence of a distorted steady state, it is always possible and relatively simple to obtain a purely quadratic approximation to the welfare measure. We also show that, in order to do so, the timeless perspective assumption is crucial.
Debortoli, Davide, Nunes, Ricardo
openaire   +1 more source

Schrödinger-cat-like states with dressed photons in renormalized adiabatic approximation for generalized quantum Rabi Hamiltonian with quadratic interaction

open access: yesPhysics Open, 2020
We give a mathematical procedure to obtain the renormalized adiabatic approximation for the generalized quantum Rabi Hamiltonian with a quadratic interaction.
Masao Hirokawa
doaj   +1 more source

Semiclassical asymptotics of nonlinear Fokker-Plank equation for distributions of asset returns [PDF]

open access: yesКомпьютерные исследования и моделирование, 2009
The semiclassical approximation method is applied for solution construction of the Fokker-Planck equation with quadratic nonlocal nonlinearity and various coefficients in models of asset returns estimation.
Andrey Yur'evich Trifonov   +2 more
doaj   +1 more source

Estimation of nonlinear dependence of fiber Bragg grating readings on temperature and strain using experimental data

open access: yesFracture and Structural Integrity, 2022
The readings of the Bragg grating are determined based on the optical radiation reflected from it. A quantitative characteristic of this radiation is the wavelength at which the maximum power of the optical signal is achieved.
I. Shardakov   +5 more
doaj   +1 more source

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