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Unconstrained Optimization by Approximation of the Gradient Path
Mathematics of Operations Research, 1977A 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, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emin Kahya, Jinhai Chen
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Criteria for Unconstrained Global Optimization
Journal of Optimization Theory and Applications, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Globally Convergent Algorithms for Unconstrained Optimization
Computational Optimization and Applications, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Greatest Descent Algorithms in Unconstrained Optimization
Journal of Optimization Theory and Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On an iterative method for\cr unconstrained optimization
Applicationes Mathematicae, 2015Summary: 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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