Local and superlinear convergence for truncated iterated projections methods

DOI10.1007/BF02591944zbMath0532.49016MaRDI QIDQ3314452

Trond Steihaug

Publication date: 1983

Published in: Mathematical Programming (Search for Journal in Brave)

zbMATH Keywords

quasi-Newton methodssuperlinear convergenceiterated projectionssparse and symmetric update matrices

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10)

Related Items (2)

Multilevel least-change Newton-like methods for equality constrained optimization problems ⋮ Variable metric methods for unconstrained optimization and nonlinear least squares

Cites Work

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• Convergence Theorems for Least-Change Secant Update Methods
• On the Sparse and Symmetric Least-Change Secant Update
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• Least Change Secant Updates for Quasi-Newton Methods
• A note on quasi-newton formulae for sparse second derivative matrices
• Inexact Newton Methods
• Quasi-Newton Methods, Motivation and Theory
• On Sparse and Symmetric Matrix Updating Subject to a Linear Equation
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian
• The Convergence of an Algorithm for Solving Sparse Nonlinear Systems
• A New Algorithm for Unconstrained Optimization

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