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• W3107171105 abstract "In this paper, the spectral algorithm for nonlinear equations (SANE) is adapted to the problem of finding a zero of a given tangent vector field on a Riemannian manifold. The generalized version of SANE uses, in a systematic way, the tangent vector field as a search direction and a continuous real-valued function that adapts this direction and ensures that it verifies a descent condition for an associated merit function. In order to speed up the convergence of the proposed method, we incorporate a Riemannian adaptive spectral parameter in combination with a non-monotone globalization technique. The global convergence of the proposed procedure is established under some standard assumptions. Numerical results indicate that our algorithm is very effective and efficient solving tangent vector field on different Riemannian manifolds and competes favorably with a Polak-Ribiere-Polyak Method recently published and other methods existing in the literature." @default.
• W3107171105 created "2020-12-07" @default.
• W3107171105 creator A5009233467 @default.
• W3107171105 creator A5076877848 @default.
• W3107171105 date "2020-11-27" @default.
• W3107171105 modified "2023-10-01" @default.
• W3107171105 title "Spectral Residual Method for Nonlinear Equations on Riemannian Manifolds." @default.
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• W3107171105 hasPublicationYear "2020" @default.
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