Conjugate direction methods and polarity for quadratic hypersurfaces

DOI10.1007/s10957-017-1180-6zbMath1387.90240OpenAlexW2765136223MaRDI QIDQ1695819

Raffaele Pesenti, Giovanni Fasano

Publication date: 8 February 2018

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

Full work available at URL: http://hdl.handle.net/10278/3692466

zbMATH Keywords

conjugate gradient methodindefinite linear systemsquadratic hypersurfacespolarity in homogeneous coordinates

Mathematics Subject Classification ID

Nonlinear programming (90C30) Projective analytic geometry (51N15) Numerical methods for mathematical programming, optimization and variational techniques (65K99)

Related Items (3)

Iterative grossone-based computation of negative curvature directions in large-scale optimization ⋮ Polarity and conjugacy for quadratic hypersurfaces: a unified framework with recent advances ⋮ Planar methods and grossone for the conjugate gradient breakdown in nonlinear programming

Uses Software

• mctoolbox
• tn

Cites Work

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• Preconditioning Newton-Krylov methods in nonconvex large scale optimization
• A nonmonotone truncated Newton-Krylov method exploiting negative curvature directions, for large scale unconstrained optimization
• Lectures on curves, surfaces and projective varieties. A classical view of algebraic geometry. Transl. from the Italian by Francis Sullivan
• A truncated Newton method with non-monotone line search for unconstrained optimization
• Differential geometry of varieties with degenerate Gauss maps
• A survey of truncated-Newton methods
• A framework of conjugate direction methods for symmetric linear systems in optimization
• Iterative computation of negative curvature directions in large scale optimization
• Cubic regularization of Newton method and its global performance
• Planar conjugate gradient algorithm for large-scale unconstrained optimization. II: Application
• On A Class of Limited Memory Preconditioners For Large Scale Linear Systems With Multiple Right-Hand Sides
• A Relationship between the BFGS and Conjugate Gradient Algorithms and Its Implications for New Algorithms
• Inexact Newton Methods
• Numerical Optimization
• Exploiting negative curvature directions in linesearch methods for unconstrained optimization
• Conjugate gradient (CG)-type method for the solution of Newton's equation within optimization frameworks
• Hyperbolic Pairs in the Method of Conjugate Gradients
• Methods of conjugate gradients for solving linear systems

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