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A regularized gradient projection method for the minimization problem - MaRDI portal

A regularized gradient projection method for the minimization problem (Q410905)

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scientific article; zbMATH DE number 6021659
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A regularized gradient projection method for the minimization problem
scientific article; zbMATH DE number 6021659

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    A regularized gradient projection method for the minimization problem (English)
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    4 April 2012
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    Summary: We investigate the following regularized gradient projection algorithm \(x_{n+1} = P_C(I - \gamma_n(\nabla f + \alpha_n I))x_n, n \geq 0\). Under some different control conditions, we prove that this gradient projection algorithm strongly converges to the minimum norm solution of the minimization problem \(\min_{x \in C}f(x)\).
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