A note on complex matrices that are unitarily congruent to real matrices

DOI10.1016/j.laa.2010.04.016zbMath1192.15003OpenAlexW2054396371MaRDI QIDQ979018

Khakim D. Ikramov

Publication date: 25 June 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.016

zbMATH Keywords

conjugate-normal matrixunitary congruenceSpecht's theoremconinvolutionconsimilarity transformationTakagi's factorization

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items

Simultaneous decomplexification of a pair of complex matrices by a unitary congruence transformation, Effective algorithms for decomplexifying a matrix by unitary similarities or congruences, On sufficient conditions for the existence of a unitary congruence transformation of a given complex matrix into a real one, Each symplectic matrix is a product of four symplectic involutions

Cites Work

• Some observations on the Youla form and conjugate-normal matrices
• On (con)similarities and congruences between A and A^*, A^T or A
• Matrix Analysis