Geodesic
The minimum-norm least-squares solution of a linear system and symmetric rank-one updates
The electronic journal of linear algebra, Tome 22 (2011), pp. 480-489.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we study the Moore-Penrose inverse of a symmetric rank-one perturbed matrix from which a finite method is proposed for the minimum-norm least-squares solution to the system of linear equations Ax = b. This method is guaranteed to produce the required result.
Classification : 15A06, 15A09, 65F05
Keywords: finite method, linear system, Moore-Penrose inverse, symmetric rank-one update 
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     author = {Chen, Xuzhou and Ji, Jun},
     title = {The minimum-norm least-squares solution of a linear system and symmetric rank-one updates},
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Chen, Xuzhou; Ji, Jun. The minimum-norm least-squares solution of a linear system and symmetric rank-one updates. The electronic journal of linear algebra, Tome 22 (2011), pp. 480-489. http://geodesic.mathdoc.fr/item/ELA_2011__22__a48/