On perturbations of some constrained subspaces

Authors:
Musheng Wei;Jinbing Zhang
Affiliations:
Department of Mathematics, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China;Department of Mathematics, Yancheng Teachers College, Jiangsu 224002, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

Perturbation bounds of subspaces, such as eigen-spaces, singular subspaces, and canonical subspaces, have been extensively studied in the literature. In this paper, we study perturbations of some constrained subspaces of 1x2, 2x1, and 2x2 block matrices, in which only one of the sub-matrices can be changed. Such problems rise from the least squares-total least squares problem, the constrained least squares problem, and the constrained total least squares problem.