Sparse two-sided rank-one updates for nonlinear equations

DOI10.1007/s11425-010-4056-xzbMath1209.90354OpenAlexW1967359478MaRDI QIDQ625916

Minghou Cheng, Yu-Hong Dai

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4056-x

zbMATH Keywords

sparsityBroyden rank-one updateTR1 update

Mathematics Subject Classification ID

Methods of quasi-Newton type (90C53) Equations involving nonlinear operators (general) (47J05) Numerical methods in optimal control (49M99)

Cites Work

• Inexact trust region method for large sparse systems of nonlinear equations
• Convergence Theorems for Least-Change Secant Update Methods
• On Sparse and Symmetric Matrix Updating Subject to a Linear Equation
• On constrained optimization by adjoint based 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
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