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Unconstrained Optimization by Approximation of the Gradient Path

Mathematics of Operations Research, 1977
A gradient-path oriented algorithm for unconstrained minimization, requiring first derivatives of the objective, is presented. The algorithm possesses the quadratic termination property and it is shown to converge to a stationary point of a continuously differentiable Function.
Jean-Philippe Vial, Israel Zang
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A modified Secant method for unconstrained optimization

Applied Mathematics and Computation, 2007
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Emin Kahya, Jinhai Chen
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Unconstrained Optimization

2021
Tony Pourmohamad, Herbert K. H. Lee
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Criteria for Unconstrained Global Optimization

Journal of Optimization Theory and Applications, 2007
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Globally Convergent Algorithms for Unconstrained Optimization

Computational Optimization and Applications, 2000
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Greatest Descent Algorithms in Unconstrained Optimization

Journal of Optimization Theory and Applications, 2009
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On an iterative method for\cr unconstrained optimization

Applicationes Mathematicae, 2015
Summary: We present a local and a semi-local convergence analysis of an iterative method for approximating zeros of derivatives for solving univariate and unconstrained optimization problems. In the local case, the radius of convergence is obtained, whereas in the semi-local case, sufficient convergence criteria are presented.
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Unconstrained Optimization

2001
Saul I. Gass, Carl M. Harris
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