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Convergence Theory of Nonlinear Newton–Krylov Algorithms

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Recent Developments in Algorithms and Software for Trust Region Methods
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A second-order method for unconstrained optimization
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A discrete Newton algorithm for minimizing a function of many variables
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Reduced storage matrix methods in stiff ODE systems
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A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
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Krylov subspace methods for solving large unsymmetric linear systems
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Inexact Newton Methods
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The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
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Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method
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Newton-Type Minimization via the Lanczos Method
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A Family of Trust-Region-Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties
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Matrix-Free Methods for Stiff Systems of ODE’s
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A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods
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On the Global Convergence of Trust Region Algorithms Using Inexact Gradient Information
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Iterative Solution of Linear Equations in ODE Codes
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Preconditioning of Truncated-Newton Methods
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The Use of Iterative Linear-Equation Solvers in Codes for Large Systems of Stiff IVP s for ODE s
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0911026openalex-snapshot
Hybrid Krylov Methods for Nonlinear Systems of Equations
inferredcites →https://doi.org/10.1137/0912003openalex-snapshot
A Theoretical Comparison of the Arnoldi and GMRES Algorithms
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Numerical Methods for Unconstrained Optimization and Nonlinear Equations
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Iterative Solution of Nonlinear Equations in Several Variables

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