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.