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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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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