| Preprint | |
| Report number | arXiv:1009.1151 ; CERN-PH-TH-2010-199 ; KCL-PH-TH-2010-19 ; MAN-HEP-2010-18 ; CERN-PH-TH-2010-199 ; KCL-PH-TH-2010-19 ; MAN-HEP-2010-18 |
| Title | Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems |
| Author(s) | Ellis, John (CERN ; King's Coll. London) ; Lee, Jae Sik (NCTS, Hsinchu) ; Pilaftsis, Apostolos (Manchester U.) |
| Publication | 2010 |
| Imprint | 08 Sep 2010 |
| Number of pages | 7 p, 7 |
| Note | Comments: 6 pages |
| Subject category | Mathematical Physics and Mathematics |
| Abstract | This note presents an analytic construction of the optimal unit-norm direction hat(x) = x/|x| that maximizes or minimizes the objective linear expression, B . hat{x}, subject to a system of linear constraints of the form [A] . x = 0, where x is an unknown n-dimensional real vector to be determined up to an overall normalization constant, 0 is an m-dimensional null vector, and the n-dimensional real vector B and the m\times n-dimensional real matrix [A] (with m < n and n >= 2) are given. The analytic solution to this problem can be expressed in terms of a combination of double wedge and Hodge-star products of differential forms. |
| Other source | Inspire |
| Copyright/License | Preprint: © 2010-2026 CERN (License: CC-BY-3.0) |
Rekord stworzony 2010-09-08, ostatnia modyfikacja 2023-03-15
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