Jean-baptiste Hiriart-urruty
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Jean-baptiste Hiriart-urrutymathematics Degrees
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Mathematics
Jean-baptiste Hiriart-urruty's Degrees
- PhD Mathematics Federal University of Toulouse Midi-Pyrénées
- Masters Mathematics Federal University of Toulouse Midi-Pyrénées
Why Is Jean-baptiste Hiriart-urruty Influential?
(Suggest an Edit or Addition)Jean-baptiste Hiriart-urruty's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Convex analysis and minimization algorithms (1993) (3096)
- Fundamentals of Convex Analysis (2004) (712)
- Generalized Hessian matrix and second-order optimality conditions for problems withC1,1 data (1984) (391)
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces (1979) (373)
- Generalized Differentiability / Duality and Optimization for Problems Dealing with Differences of Convex Functions (1985) (303)
- New concepts in nondifferentiable programming (1979) (199)
- From Convex Optimization to Nonconvex Optimization. Necessary and Sufficient Conditions for Global Optimality (1989) (181)
- A Variational Approach to Copositive Matrices (2010) (168)
- On optimality conditions in nondifferentiable programming (1978) (123)
- Sensitivity analysis of all eigenvalues of a symmetric matrix (1995) (103)
- Conditions for Global Optimality 2 (1998) (94)
- Lipschitz $r$-continuity of the approximative subdifferential of a convex function. (1980) (93)
- Refinements of necessary optimality conditions in nondifferentiable programming II (1979) (89)
- What is the subdifferential of the closed convex hull of a function (1996) (89)
- Subdifferential calculus without qualification conditions, using approximate subdifferentials: a survey (1995) (86)
- Global Optimality Conditions in Maximizing a Convex Quadratic Function under Convex Quadratic Constraints (2001) (76)
- Potpourri of Conjectures and Open Questions in Nonlinear Analysis and Optimization (2007) (67)
- Extension of Lipschitz functions (1980) (64)
- Comparison of public-domain software for black box global optimization (2000) (61)
- Permanently Going Back and Forth between the ``Quadratic World'' and the ``Convexity World'' in Optimization (2002) (58)
- Optimal, Environmentally Friendly Departure Procedures for Civil Aircraft (2011) (52)
- A General Formula on the Conjugate of the Difference of Functions (1986) (50)
- A Note on the Characterization of the Global Maxima of a (Tangentially) Convex Function Over a Convex Set (1996) (46)
- Images of connected sets by semicontinuous multifunctions (1985) (43)
- Mean value theorems in nonsmooth analysis (1980) (42)
- Refinements of necessary optimality conditions in nondifferentiable programming I (1979) (40)
- Miscellanies on Nonsmooth Analysis and Optimization (1985) (37)
- A Note on the Legendre-Fenchel Transform of Convex Composite Functions (2006) (36)
- Trends in Mathematical Optimization (1987) (35)
- A new set-valued second-order derivative for convex functions (1986) (34)
- A Fresh Variational-Analysis Look at the Positive Semidefinite Matrices World (2012) (33)
- Characterizations of the plenary hull of the generalized Jacobian matrix (1982) (33)
- New formulas for the Legendre–Fenchel transform (2003) (32)
- Limiting behaviour of the approximate first order and second order directional derivatives for a convex function (1982) (31)
- Calculus rules on a new set—valued second order derivative for convex functions (1989) (30)
- A variational approach of the rank function (2013) (28)
- Moreau’s Decomposition Theorem Revisited (1989) (27)
- Approximating a Second-Order Directional Derivative for Nonsmooth Convex Functions (1982) (26)
- FERMAT Days 85 : mathematics for optimization (1986) (25)
- A Short Proof of the Variational Principle for Approximate Solutions of a Minimization Problem (1983) (25)
- At what Points is the Projection Mapping Differentiable (1982) (24)
- How to regularize a difference of convex functions (1991) (22)
- Convexifying the set of matrices of bounded rank: applications to the quasiconvexification and convexification of the rank function (2012) (21)
- Optimal Hoffman-Type Estimates in Eigenvalue and Semidefinite Inequality Constraints (2002) (21)
- LOcal Uncertainty Processing (LOUP) method for multidisciplinary robust design optimization (2012) (21)
- The conjugate of the difference of convex functions (1986) (21)
- The Second-Order Subdifferential and the Dupin Indicatrices of a Non-Differentiable Convex Function (1989) (20)
- The approximate first-order and second-order directional derivatives for a convex function (1983) (19)
- Calculus Rules on the Approximate Second-Order Directional Derivative of a Convex Function (1984) (19)
- The Clarke and Michel-Penot Subdifferentials of the Eigenvalues of a Symmetric Matrix (1999) (17)
- Pythagoras' Theorem for Areas (2001) (17)
- A new series of conjectures and open questions in optimization and matrix analysis (2009) (17)
- Mathematical Properties of Optimization Problems Defined by Positively Homogeneous Functions (2002) (16)
- LA CONJECTURE DES POINTS LES PLUS ´ ELOIGN ´ ES REVISIT ´ EE (2005) (15)
- On Global Optimality Conditions for Nonlinear Optimal Control Problems (1998) (14)
- Feasibility in finite time (2009) (13)
- Testing copositivity with the help of difference-of-convex optimization (2013) (13)
- From Eckart and Young approximation to Moreau envelopes and vice versa (2013) (13)
- The deconvolution operation in convex analysis: An introduction (1994) (12)
- When is a point x satisfying $\nabla f(x) = 0 a global minimum of f ? (1986) (12)
- The varepsilon-strategy in variational analysis: illustration with the closed convexification of a function (2011) (11)
- Advances in Mathematical Modeling, Optimization and Optimal Control (2016) (11)
- Best Approximate Solutions of Inconsistent Linear Inequality Systems (2018) (11)
- Feature selection in SVM via polyhedral k-norm (2019) (11)
- Journal of Convex Analysis (2012) (10)
- When only global optimization matters (2013) (10)
- Parametric computation of the Legendre-Fenchel conjugate with application to the computation of the Moreau envelope (2007) (10)
- Approximate first-order and second-order directional derivatives of a marginal function in convex optimization (1986) (9)
- Convex Functions of One Real Variable (1993) (9)
- A characterization of essentially strictly convex functions on reflexive Banach spaces (2012) (7)
- Convex solutions of a functional equation arising in information theory (2007) (7)
- Sensitivity Analysis for a Class of Convex Functions Defined Over a Space of Symmetric Matrices (1992) (6)
- Conjugacy in Convex Analysis (1993) (6)
- Optimization : theory and algorithms (1983) (6)
- From Eckart & Young Approximation To Moreau Envelopes And Vice Versa (2013) (5)
- About Properties of the Mean Value Functional and of the Continuous Infimal Convolution in Stochastic Convex Analysis (1975) (5)
- Multi-Objective Clean Take-Off Flight Paths for Civil Aircraft (2009) (4)
- Advanced Problems: 6347-6349 (1981) (4)
- A heuristic-based framework to solve a complex aircraft sizing problem (2010) (4)
- Comments on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes (2013) (4)
- A First Order Sufficient Condition for Optimality in Nonsmooth Optimization (1989) (4)
- Acceleration of the Cutting-Plane Algorithm: Primal Forms of Bundle Methods (1993) (3)
- Least squares solutions of linear inequality systems: a pedestrian approach (2017) (3)
- A better insight into the generalized gradient of the absolute value of a function (1981) (3)
- Optimality conditions for discrete nonlinear norm-approximation problems (1981) (3)
- Global optimality in the calculus of variations (1997) (3)
- Abstract Duality for Practitioners (1993) (3)
- Convex Analysis and Optimization in the Past 50 Years: Some Snapshots (2014) (2)
- Introduction to Optimization Algorithms (1993) (2)
- Polytopal balls arising in optimization (2020) (2)
- When is L r ( R ) contained in L p ( R ) + L q ( R ) ? (1)
- Modern convex analysis (2014) (1)
- SOLVING A FUNCTIONAL EQUATION ARISING IN INFORMATION THEORY (1)
- A characterization by optimization of the orthocenter of a triangle (2015) (1)
- Mean value theorems and convexity: An example of cross-fertilization of two mathematical items (2020) (1)
- Best Approximate Solutions of Inconsistent Linear Inequality Systems (2018) (1)
- Reminiscences... and a Little Bit More (2010) (1)
- A Characterization by Optimization of the Monge Point of a Tetrahedron (2016) (1)
- An open global volume minimization problem (2009) (1)
- When some variational properties force convexity (2013) (1)
- LOcal Uncertainty Processing (LOUP) method for multidisciplinary robust design optimization (2012) (1)
- MISCELLANIES ON NON SMOOTH ANALYSIS AND OPTIMIZATION (1985) (0)
- Reading the textbook is not required, but it is recommended. You are not responsible for textbook material that is not covered in lecture. Course material also will be derived from the following recommended textbooks: (2006) (0)
- Sublinearity and Support Functions (1993) (0)
- The Viscosity Subdifferential of the Rank Function via the Corresponding Subdifferential of its Moreau Envelopes (2015) (0)
- Introduction: Notation, Elementary Results (2001) (0)
- Approximate Subdifferentials of Convex Functions (1993) (0)
- Convex Functions of Several Variables (1993) (0)
- Answer(s), Comment(s) (2016) (0)
- A Fresh Variational-Analysis Look at the Positive Semidefinite Matrices World (2012) (0)
- On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping (2022) (0)
- A fresh geometrical look at the general S-procedure (2021) (0)
- Inner Construction of the Subdifferential: Towards Implementing Descent Methods (1993) (0)
- The Viscosity Subdifferential of the Rank Function via the Corresponding Subdifferential of its Moreau Envelopes (2015) (0)
- A variational approach of the rank function (2013) (0)
- Deforming $||.||_{1}$ into $||.||_{\infty}$ via Polyhedral Norms: A Pedestrian Approach (2022) (0)
- Sensitivity of the “intermediate point” in the mean value theorem: an approach via the Legendre-Fenchel transformation (2021) (0)
- Comments on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes (2013) (0)
- Dynamic Construction of Approximate Subdifferentials: Dual Form of Bundle Methods (1993) (0)
- Descent Theory for Convex Minimization: The Case of Complete Information (1993) (0)
- Constrained Convex Minimization Problems: Minimality Conditions, Elements of Duality Theory (1993) (0)
- Preface (2014) (0)
- Testing copositivity with the help of difference-of-convex optimization (2013) (0)
- Reminiscences. ..a nd aL ittle Bit More (2010) (0)
- Note From the Editor (1988) (0)
- Subdifferentials of Finite Convex Functions (1993) (0)
- When only global optimization matters (2012) (0)
- Convexifying the set of matrices of bounded rank: applications to the quasiconvexification and convexification of the rank function (2011) (0)
- Boris Nicolaevich Pshenichnyi: Two Examples of Influence of His Scientific Works (2002) (0)
- A Characterization by Optimization of the Monge Point of a Tetrahedron (2014) (0)
- When Is Lr(R) Contained in Lp(R) + Lq(R)? (2013) (0)
- Inner Construction of the Approximate Subdifferential: Methods of ε-Descent (1993) (0)
- Trends in mathematical optimization : 4th French-German Conference on Optimization (1988) (0)
- Mathematical Faits Divers (1985) (0)
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