A Curvilinear Search Method for p-Harmonic Flows on Spheres
| dc.contributor.author | Goldfarb, Donald | |
| dc.contributor.author | Wen, Zaiwen | |
| dc.contributor.author | Yin, Wotao | |
| dc.date.accessioned | 2018-06-19T17:13:02Z | |
| dc.date.available | 2018-06-19T17:13:02Z | |
| dc.date.issued | 2008-01 | |
| dc.date.note | January 2008 | |
| dc.description.abstract | The 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. | |
| dc.format.extent | 23 pp | |
| dc.identifier.citation | Goldfarb, 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>. | |
| dc.identifier.uri | https://hdl.handle.net/1911/102084 | |
| dc.language.iso | eng | |
| dc.title | A Curvilinear Search Method for p-Harmonic Flows on Spheres | |
| dc.type | Technical report | |
| dc.type.dcmi | Text |
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