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https://hdl.handle.net/10316/11446| Title: | Optimization on quadratic matrix Lie groups | Authors: | Machado, Luís Miguel Leite, F. Silva |
Keywords: | Lie group; Lie algebra; Riemannian metric; Gradient vector field; Gradient flow; Complete integrability | Issue Date: | 2002 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 02-21 (2002) | Abstract: | We study optimality properties of the smooth function tr (Θ-¹QΘN – 2MΘ-¹) , viewed as a function of Θ, with Θ belonging to certain quadratic matrix Lie groups which are generalizations of the orthogonal group. Some optimization matrix problems are formulated in terms of this function. Computational issues based on continuous algorithms are discussed. | URI: | https://hdl.handle.net/10316/11446 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Optimization on quadratic matrix Lie groups.pdf | 222.6 kB | Adobe PDF | View/Open |
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