Matrix Partial Orders in Indefinite Inner Product Space.
Abstract
Abstract
For a given range symmetric matrix B, conditions are obtained for all matrices A that lie
below (above) B, to be range symmetric under a given partial ordering on complex matrices with
respect to the indefinite matrix product in an indefinite inner product space.
Key words : Indefinite matrix product, Indefinite inner product space, Matrix partial orders,
Range symmetric matrix, EP matrix.
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PDFReferences
Jayaraman.S, EP matrices in indefinite inner product spaces, Funct. Anal. Approx.
Comput., 4(2) (2012), 23-31.
Ramanathan. K., Kamaraj.K and Shivakumar. K.C., Indefinite product of matrices and
applications to indefinite inner product spaces, J. Anal., 12 (2004), 135-142.
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