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Newton‐like and inexact Newton‐like methods for a parameterized generalized inverse eigenvalue problem

Mathematical methods in the applied sciences, 2021-04, Vol.44 (6), p.4217-4234

2021

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Application of high-order Newton-like methods to solve power flow equations

IET generation, transmission & distribution, 2016-05, Vol.10 (8), p.1853-1859

2016

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Local convergence analysis of inexact Gauss–Newton like methods under majorant condition

Journal of computational and applied mathematics, 2012-03, Vol.236 (9), p.2487-2498

2012

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Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates

Journal of optimization theory and applications, 2015-06, Vol.165 (3), p.874-900

2015

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Newton-like Method with Diagonal Correction for Distributed Optimization

SIAM journal on optimization, 2017-01, Vol.27 (2), p.1171-1203

2017

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Fixed-Time Gradient Dynamics With Time-Varying Coefficients for Continuous-Time Optimization

IEEE transactions on automatic control, 2023-07, Vol.68 (7), p.4383-4390

2023

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Newton-Step-Based Hard Thresholding Algorithms for Sparse Signal Recovery

IEEE transactions on signal processing, 2020, Vol.68, p.6594-6606

2020

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A family of predictor–corrector schemes for a class of variational inequalities

Nonlinear analysis: real world applications, 2023-10, Vol.73, p.103881, Article 103881

2023

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An inexact Newton-like conditional gradient method for constrained nonlinear systems

Applied numerical mathematics, 2018-10, Vol.132, p.22-34

2018

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Chebyshev-series solutions for nonlinear systems with hypersonic gliding trajectory example

Aerospace science and technology, 2023-09, Vol.140, p.108424, Article 108424

2023

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Distributed Second-Order Methods With Increasing Number of Working Nodes

IEEE transactions on automatic control, 2020-02, Vol.65 (2), p.846-853

2020

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A two-step inexact Newton-Chebyshev-like method for inverse eigenvalue problems

Linear algebra and its applications, 2020-01, Vol.585, p.241-262

2020

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Unified convergence analysis of frozen Newton-like methods under generalized conditions

Journal of computational and applied mathematics, 2019-02, Vol.347, p.95-107

2019

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A Modified Newton Method for Multilinear PageRank

Taiwanese journal of mathematics, 2018-10, Vol.22 (5), p.1161-1171

2018

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An algebraic flux correction scheme facilitating the use of Newton-like solution strategies

Computers & mathematics with applications (1987), 2021-02, Vol.84, p.56-76

Lohmann, Christoph

2021

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Local convergence of iterative methods for solving equations and system of equations using weight function techniques

Applied mathematics and computation, 2019-04, Vol.347, p.891-902

2019

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An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems

International journal of electrical power & energy systems, 2021-01, Vol.124, p.106389, Article 106389

2021

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Low-rank and sparse matrix recovery via inexact Newton-like method with non-monotone search

Applied mathematics letters, 2020-08, Vol.106, p.106357, Article 106357

2020

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On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

Journal of computational and applied mathematics, 2013-06, Vol.245, p.1-9

2013

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A Non-monotone Alternating Newton-Like Directional Method for Low-Rank and Sparse Matrix Compressive Recovery

Journal of the Operations Research Society of China (Internet), 2023-11

2023

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CONVERGENCE ANALYSIS OF NEWTON-LIKE METHODS FOR INVERSE EIGENVALUE PROBLEMS WITH MULTIPLE EIGENVALUES

SIAM journal on numerical analysis, 2016-01, Vol.54 (5), p.2938-2950

2016

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Development and Comparison of Efficient Newton-Like Methods for Voltage Stability Assessment

Electric power components and systems, 2021-05, Vol.48 (16-17), p.1798-1813

2021

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Smallest Singular Value Based Newton-Like Methods for Solving Quadratic Inverse Eigenvalue Problem

East Asian journal on applied mathematics, 2022-05, Vol.12 (2), p.333-352

2022

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A class of computationally efficient Newton-like methods with frozen inverse operator for nonlinear systems

International journal of nonlinear sciences and numerical simulation, 2023-06, Vol.24 (3), p.1177-1195

2023

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The Dynamics of a Continuous Newton-like Method

Mathematics (Basel), 2022-10, Vol.10 (19), p.3602

2022

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Newton‐like and inexact Newton‐like methods for a parameterized generalized inverse eigenvalue problem

Application of high-order Newton-like methods to solve power flow equations

Local convergence analysis of inexact Gauss–Newton like methods under majorant condition

Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates

Newton-like Method with Diagonal Correction for Distributed Optimization

Fixed-Time Gradient Dynamics With Time-Varying Coefficients for Continuous-Time Optimization

Newton-Step-Based Hard Thresholding Algorithms for Sparse Signal Recovery

A family of predictor–corrector schemes for a class of variational inequalities

An inexact Newton-like conditional gradient method for constrained nonlinear systems

Chebyshev-series solutions for nonlinear systems with hypersonic gliding trajectory example

Distributed Second-Order Methods With Increasing Number of Working Nodes

A two-step inexact Newton-Chebyshev-like method for inverse eigenvalue problems

Unified convergence analysis of frozen Newton-like methods under generalized conditions

A Modified Newton Method for Multilinear PageRank

An algebraic flux correction scheme facilitating the use of Newton-like solution strategies

Local convergence of iterative methods for solving equations and system of equations using weight function techniques

An improved version of the Continuous Newton’s method for efficiently solving the Power-Flow in Ill-conditioned systems

Low-rank and sparse matrix recovery via inexact Newton-like method with non-monotone search

On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

A Non-monotone Alternating Newton-Like Directional Method for Low-Rank and Sparse Matrix Compressive Recovery

CONVERGENCE ANALYSIS OF NEWTON-LIKE METHODS FOR INVERSE EIGENVALUE PROBLEMS WITH MULTIPLE EIGENVALUES

Development and Comparison of Efficient Newton-Like Methods for Voltage Stability Assessment

Smallest Singular Value Based Newton-Like Methods for Solving Quadratic Inverse Eigenvalue Problem

A class of computationally efficient Newton-like methods with frozen inverse operator for nonlinear systems

The Dynamics of a Continuous Newton-like Method

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