A new modification of nonlinear conjugate gradient formula (Q2795888)
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scientific article; zbMATH DE number 6559594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new modification of nonlinear conjugate gradient formula |
scientific article; zbMATH DE number 6559594 |
Statements
22 March 2016
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unconstrained optimization
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sufficient descent property
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global convergence
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nonlinear conjugate gradient methods
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A new modification of nonlinear conjugate gradient formula (English)
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The authors consider the use of nonlinear conjugate gradient methods for solving unconstrained optimization problems \(\min_{x\in\mathbb{R}^n}f(x)\), where \(f:\mathbb{R}^n\rightarrow\mathbb{R}\) is a continuously differentiable nonlinear function. They establish the descent property using exact line searches and prove the global convergence of their modification of the conjugate gradient method.
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