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Keyword

secant method

Description: An iterative numerical root-finding method that approximates a function's zeros using successive secant lines.
Wikidata ID: wiki/Q14915286
OpenAlex ID: keywords/secant-method
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
1996 · J. E. Dennis, Robert B. Schnabel · Society for Industrial and Applied Mathematics eBooks · 7,615
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
2012 · Jie Shen, Cheng Wang, et al. · SIAM Journal on Numerical Analysis · 411
A new tool to study real dynamics: The convergence plane
2014 · Ángel Alberto Magreñán · Applied Mathematics and Computation · 277
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Practical quasi-Newton methods for solving nonlinear systems
2000 · José Mario Martı́nez · Journal of Computational and Applied Mathematics · 223
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Some Efficient Algorithms for Solving Systems of Nonlinear Equations
1973 · Richard P. Brent · SIAM Journal on Numerical Analysis · 186
The Secant method for simultaneous nonlinear equations
1959 · Philip Wolfe · Communications of the ACM · 167
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A faster modified newton-raphson iteration
1979 · M.A. Crisfield · Computer Methods in Applied Mechanics and Engineering · 165
Effective Properties of Nonlinear Composites
1997 · P. Suquet · Springer eBooks · 159
On the Geometry of Halley's Method
1995 · T. R. Scavo, J. B. Thoo · American Mathematical Monthly · 143
Convergence Theorems for Least-Change Secant Update Methods
1981 · J. E. Dennis, Jr., Homer F. Walker · SIAM Journal on Numerical Analysis · 130
An analysis for the DIIS acceleration method used in quantum chemistry calculations
2011 · Thorsten Rohwedder, Reinhold Schneider · Journal of Mathematical Chemistry · 127
An Algorithm for Solving Non-Linear Equations Based on the Secant Method
1965 · J. G. P. Barnes · The Computer Journal · 124
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Secant-method adjustment for structural models
1991 · Suzanne Weaver Smith, Christopher A. Beattie · AIAA Journal · 96
On the accuracy of mean-field approaches to simulate the plastic deformation of composites
2002 · J. Segurado, J. Llorca, et al. · Scripta Materialia · 94
A View of Unconstrained Optimization.
1987 · J. E. Dennis, Schnabel Jr., et al. · 93
Frozen divided difference scheme for solving systems of nonlinear equations
2010 · Miquel Grau-Sánchez, Àngela Grau, et al. · Journal of Computational and Applied Mathematics · 92
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Probabilistic Interpretation of Linear Solvers
2015 · Philipp Hennig · SIAM Journal on Optimization · 91
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An accelerated convergence approach for real-time deformation compensation in large thin-walled parts machining
2019 · Xinzhi Wang, Zhoulong Li, et al. · International Journal of Machine Tools and Manufacture · 90
Convergence theory for the structured BFGS secant method with an application to nonlinear least squares
1989 · J. E. Dennis, H. J. Martinez, et al. · Journal of Optimization Theory and Applications · 87
Adaptive real-time optimal energy management strategy for extender range electric vehicle
2020 · Ye Yang, Youtong Zhang, et al. · Energy · 86
Intraphase strain heterogeneity in nonlinear composites: a computational approach
2003 · H. Moulinec, P. Suquet · European Journal of Mechanics - A/Solids · 83
Analysis of Classical Root-Finding Methods Applied to Digital Maximum Power Point Tracking for Sustainable Photovoltaic Energy Generation
2011 · Seunghyun Chun, Alexis Kwasinski · IEEE Transactions on Power Electronics · 81
Ultrasonic measurement of the thickness, phase velocity, density or attenuation of a thin-viscoelastic plate. Part II: the inverse problem
1995 · Vikram K. Kinra, Vasudevan R. Iyer · Ultrasonics · 81
Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation
1999 · A. Gammal, T. Frederico, et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 77
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Interpolation and Approximation
2021 · James Epperson · 76
Works count: 1,663
Citation count: 19,850
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