Geodesic
Expansions and polynomial limit representations of weighted pseudoinverses
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 747-766

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Expansions of weighted pseudoinverses with positive definite or singular weights in matrix power series or power products with negative exponents and arbitrary positive parameters are proposed and analyzed. Based on these expansions, polynomial limit representations of weighted pseudoinverses are obtained. Issues related to the construction of direct and iterative methods for calculating weighted pseudoinverses and weighted normal pseudosolutions, as well as solving constrained least squares problems, are examined. 
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     title = {Expansions and polynomial limit representations of weighted pseudoinverses},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a0/}
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E. F. Galba; V. S. Deineka; I. V. Sergienko. Expansions and polynomial limit representations of weighted pseudoinverses. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 747-766. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a0/