Mise à jour de la métrique dans les méthodes de quasi-Newton réduites en optimisation avec contraintes d'égalité
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Publication:3805800
DOI10.1051/m2an/1988220202511zbMath0657.65087OpenAlexW2526916231MaRDI QIDQ3805800
Publication date: 1988
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/193530
quasi-Newton methodlocal superlinear convergencereduced Hessian methodsequality-constrained optimization
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)
Cites Work
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- Minimizing a differentiable function over a differential manifold
- A globally convergent method for nonlinear programming
- Minimization of functions having Lipschitz continuous first partial derivatives
- The convergence of variable metric matrices in unconstrained optimization
- An only 2-step Q-superlinear convergence example for some algorithms that use reduced hessian approximations
- On the Local Convergence of a Quasi-Newton Method for the Nonlinear Programming Problem
- An example of irregular convergence in some constrained optimization methods that use the projected hessian
- Projected Hessian Updating Algorithms for Nonlinearly Constrained Optimization
- Continuity of the null space basis and constrained optimization
- On the local and global convergence of a reduced Quasi-Newton method1
- Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization
- A surperlinearly convergent algorithm for constrained optimization problems
- Nonlinear programming via an exact penalty function: Global analysis
- Nonlinear programming via an exact penalty function: Asymptotic analysis
- Quasi-Newton Methods, Motivation and Theory
- Superlinearly convergent variable metric algorithms for general nonlinear programming problems
- On the Use of Approximations in Algorithms for Optimization Problems with Equality and Inequality Constraints
- On the Local and Superlinear Convergence of Quasi-Newton Methods
- A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
- A New Method of Solving Nonlinear Simultaneous Equations
- A Family of Variable-Metric Methods Derived by Variational Means
- A new approach to variable metric algorithms
- On the Convergence of the Variable Metric Algorithm
- Conditioning of Quasi-Newton Methods for Function Minimization
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