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Scalable adaptive cubic regularization methods (Q6608033)

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scientific article; zbMATH DE number 7915914

Language	Label	Description	Also known as
English	Scalable adaptive cubic regularization methods	scientific article; zbMATH DE number 7915914

Statements

scholarly article

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Scalable adaptive cubic regularization methods (English)

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Jean-Pierre Dussault

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Mathematical Programming. Series A. Series B

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publication date

19 September 2024

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zbMATH Keywords

unconstrained optimization

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trust-region algorithms

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adaptive cubic regularization

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MaRDI profile type

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On the use of iterative methods in cubic regularization for unconstrained optimization

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Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models

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Gradient Descent Finds the Cubic-Regularized Nonconvex Newton Step

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Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results

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Adaptive cubic regularisation methods for unconstrained optimization. II: Worst-case function- and derivative-evaluation complexity

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Complexity bounds for second-order optimality in unconstrained optimization

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On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization

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Trust Region Methods

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On global minimizers of quadratic functions with cubic regularization

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Benchmarking optimization software with performance profiles.

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ARC<sub>q</sub>: a new adaptive regularization by cubics

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A Unified Efficient Implementation of Trust-region Type Algorithms for Unconstrained Optimization

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LSMR: An Iterative Algorithm for Sparse Least-Squares Problems

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Fast CG-Based Methods for Tikhonov--Phillips Regularization

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Error estimates for iterative algorithms for minimizing regularized quadratic subproblems

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Solving the Trust-Region Subproblem using the Lanczos Method

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GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization

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Updating the regularization parameter in the adaptive cubic regularization algorithm

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CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization

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Methods of conjugate gradients for solving linear systems

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An accelerated first-order method with complexity analysis for solving cubic regularization subproblems

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Computing a Trust Region Step

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Solution of Sparse Indefinite Systems of Linear Equations

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LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares

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The Conjugate Gradient Method and Trust Regions in Large Scale Optimization

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Accurate conjugate gradient methods for families of shifted systems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10107-023-02007-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:6608033

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