Polar decompositions of indecomposable normal matrices in indefinite inner products: Explicit formulas and open problems.

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Author(s) : Brian Lins, Patrick Meade, Christian Mehl , Leiba Rodman

Preprint series : Preprint 2000-9, Fakultät für Mathematik, Technische Universität Chemnitz, 2000

MSC 2000

15A57 Other types of matrices

Abstract :
Polar decompositions of normal matrices with respect to indefinite inner products are discussed. For the case of indecomposable normals with respect to an indefinite inner product defined by an invertible Hermitian matrix having at most two negative eigenvalues, explicit formulas for a polar decomposition with respect to this indefinite product are provided. Several open problems are formulated.

Keywords : indefinite inner products, normal matrix, polar decomposition

Notes :
Please contact C. Mehl for further information.