Monotone variable-metric algorithm for linearly constrained nonlinear programming

DOI10.1023/A:1004645328197zbMath0962.90045MaRDI QIDQ1579655

Graziella Pacelli, Maria Cristina Recchioni

Publication date: 24 June 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

differential equationsnonlinear programmingprojective algorithmspath-following methods

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Interior-point methods (90C51)

Related Items (3)

Box-constrained multi-objective optimization: A gradient-like method without ``a priori scalarization ⋮ An interior point algorithm for global optimal solutions and KKT points ⋮ An optimization framework of biological dynamical systems

Cites Work

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• A modification of Karmarkar's linear programming algorithm
• A new polynomial-time algorithm for linear programming
• Stability by Liapunov's direct method. With applications
• A quadratically convergent method for linear programming
• An extension of Karmarkar's projective algorithm for convex quadratic programming
• Interior path following primal-dual algorithms. I: Linear programming
• On the convergence of the projected gradient method
• Interior point methods of mathematical programming
• Projective transformations for interior-point algorithms, and a superlinearly convergent algorithm for the w-center problem
• The Nonlinear Geometry of Linear Programming. I Affine and Projective Scaling Trajectories
• Mathematical Developments Arising from Linear Programming
• A Successive Underestimation Method for Concave Minimization Problems
• Global Convergence of a Long-Step Affine Scaling Algorithm for Degenerate Linear Programming Problems
• Iterative Solution of Nonlinear Equations in Several Variables
• Nonlinear Programming: Counterexamples to Two Global Optimization Algorithms
• Letter to the Editor—Linear Fractional Functionals Programming
• A Class of Fractional Programming Problems
• On the Convergence of Gradient Methods under Constraint

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