Original scientific paper

Stability of polar decompositions

Cornelis V. M. van der Mee
Andre C. M. Ran
Leiba Rodman

Abstract

Certain continuity properties of the factors in generalized polar decompositions of real and complex matrices are studied. A complete characterization is given of those generalized polar decompositions that persist under small perturbations in the matrix and in the scalar product. Connections are made with quadratic matrix equations, and with stability properties of certain invariant subspaces.

Keywords

Hrčak ID:

4866

URI

https://hrcak.srce.hr/4866

Publication date:

1.6.2000.

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