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• W4387424279 startingPage "115607" @default.
• W4387424279 abstract "Vector extrapolations for fixed-point iterations are shown to converge faster when their step lengths are computed from two or three consecutive maps alternately. Based on this finding, cyclic extrapolation methods are proposed which require few objective function evaluations, no matrix inversion, and little extra memory. They are efficient in high-dimensional contexts and do not require problem-specific adaptation. A convergence analysis is done for singular positive definite linear systems and for contraction mappings. The proposed methods rivaled common quasi-Newton alternatives in eight mapping applications that included gradient descent for constrained and unconstrained optimization." @default.
• W4387424279 created "2023-10-08" @default.
• W4387424279 creator A5091567740 @default.
• W4387424279 date "2023-10-01" @default.
• W4387424279 modified "2023-10-18" @default.
• W4387424279 title "Alternating cyclic vector extrapolation technique for accelerating nonlinear optimization algorithms and fixed-point mapping applications" @default.
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• W4387424279 doi "https://doi.org/10.1016/j.cam.2023.115607" @default.
• W4387424279 hasPublicationYear "2023" @default.
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