A Curvilinear Search Method for p-Harmonic Flows on Spheres

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dc.contributor.authorGoldfarb, Donalden_US
dc.contributor.authorWen, Zaiwenen_US
dc.contributor.authorYin, Wotaoen_US
dc.date.accessioned2018-06-19T17:13:02Zen_US
dc.date.available2018-06-19T17:13:02Zen_US
dc.date.issued2008-01en_US
dc.date.noteJanuary 2008en_US
dc.description.abstractThe problem of finding p-harmonic flows arises in a wide range of applications including micromagnetics, liquid crystal theory, directional diffusion, and chromaticity denoising. In this paper, we propose an innovative curvilinear search method for minimizing p-harmonic energies over spheres. Starting from a flow (map) on the unit sphere, our method searches along a curve that lies on the sphere in a manner similar to a standard inexact line search descent method. We show that our method is globally convergent if the step length satisfies the Armijo-Wolfe conditions. Computational tests are presented to demonstrate the efficiency of the proposed method and a variant of it that uses Barzilai-Borwein steps.en_US
dc.format.extent23 ppen_US
dc.identifier.citationGoldfarb, Donald, Wen, Zaiwen and Yin, Wotao. "A Curvilinear Search Method for p-Harmonic Flows on Spheres." (2008) <a href="https://hdl.handle.net/1911/102084">https://hdl.handle.net/1911/102084</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/102084en_US
dc.language.isoengen_US
dc.titleA Curvilinear Search Method for p-Harmonic Flows on Spheresen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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