Long vectors for quasi-Newton updates

DOI10.1007/BF02592061zbMath0622.90077MaRDI QIDQ3760306

Albert G. Buckley

Publication date: 1986

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

zbMATH Keywords

direct productslong vectors\(\ell _ 2\)-minimizationapproximate minima of smooth unconstrained functionsupdate formulaeupdating quasi-Newton matrices

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Matrix equations and identities (15A24) Numerical linear algebra (65F99)

Uses Software

• Maple

Cites Work

• Unnamed Item
• A Sparse Quasi-Newton Update Derived Variationally with a Nondiagonally Weighted Frobenius Norm
• On the Use of Restricted Pseudo-inverses for the Unified Derivation of Quasi-Newton Updates
• Least Change Secant Updates for Quasi-Newton Methods
• On Variable-Metric Methods for Sparse Hessians
• On Sparse and Symmetric Matrix Updating Subject to a Linear Equation
• Update Methods for Highly Structured Systems of Nonlinear Equations

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