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Gâteaux derivative

Known as:

Gâteaux gradient

, Gateaux variation

, Gateaux differential

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In mathematics, the Gâteaux differential or Gâteaux derivative is a generalization of the concept of directional derivative in differential calculus…

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Related topics

Related topics

14 relations

Calculus of variations

Differential of a function

Differentiation in Fréchet spaces

Directional derivative

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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

Highly Cited

2016

Highly Cited

2016

Active contour model based on local and global intensity information for medical image segmentation

Sanping Zhou

,

Jinjun Wang

,

Shun Zhang

,

Yudong Liang

,

Yihong Gong

Neurocomputing

2016

Corpus ID: 22482908

2015

2015

Switched-mode systems: gradient-descent algorithms with Armijo step sizes

Y. Wardi

,

M. Egerstedt

,

M. Hale

Discrete event dynamic systems

2015

Corpus ID: 17037273

This paper concerns optimal mode-scheduling in autonomous switched-mode hybrid dynamical systems, where the objective is to…

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Highly Cited

2009

Highly Cited

2009

Active Contours Driven by Local Gaussian Distribution Fitting Energy Based on Local Entropy

Haijun Wang

,

Ming Liu

International journal of pattern recognition and…

2009

Corpus ID: 15105365

This paper presents a new region-based active contour model in a variational level set formulation for image segmentation. In our…

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Highly Cited

2009

Highly Cited

2009

Injective weak solutions in second-gradient nonlinear elasticity

T. Healey

,

S. Krömer

2009

Corpus ID: 54049212

We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex…

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2008

2008

Introduction of Fréchet and Gâteaux Derivative

D. Behmardi

,

Encyeh Dehghan Nayeri

2008

Corpus ID: 53688751

In this paper the Fréchet and Gâteaux differentiation of functions on Banach space has been introduced. We investigate the…

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Highly Cited

2005

Highly Cited

2005

Modeling 3D crack propagation in unreinforced concrete using PUFEM

T. Gasser

,

G. Holzapfel

2005

Corpus ID: 43966294

2003

2003

Equivalence among various derivatives and subdifferentials of the distance function

Zili Wu

,

J. Ye

2003

Corpus ID: 119850430

Highly Cited

1997

Highly Cited

1997

Gâteaux differentiability of convex functions and topology : weak asplund spaces

M. Fabian

1997

Corpus ID: 122293265

Canonical Examples of Weak Asplund Spaces. Properties of Gateaux Differentiability Spaces and Weak Asplund Spaces. Stegall’s…

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Highly Cited

1986

Highly Cited

1986

Nonlinear Evolution Equations and Analyticity. I

Tosio Kato

,

K. Masuda

1986

Corpus ID: 53338400

Highly Cited

1947

Highly Cited

1947

Orthogonality and linear functionals in normed linear spaces

R. C. James

1947

Corpus ID: 121478247

The natural definition of orthogonality of elements of an abstract Euclidean space is that x ly if and only if the inner product…

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