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Linear and Multilinear Algebra Volume 72, 2024 - Issue 7
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Research Article

Existence of flipped orthogonal conjugate symmetric Jordan canonical bases for real H-selfadjoint matrices

Sahinde Dogruer AkgulDepartment of Mathematics, University of Connecticut, Storrs, CT, USA
,
Anastasiia MinenkovaDepartment of Mathematics, University of Connecticut, Storrs, CT, USACorrespondence[email protected]
&
Vadim OlshevskyDepartment of Mathematics, University of Connecticut, Storrs, CT, USA
Pages 1160-1169 | Received 22 Mar 2022, Accepted 23 Sep 2022, Published online: 03 Feb 2023

References

  • Gohberg I, Lancaster P, Rodman L. Indefinite linear algebra and applications. Birkhäuser; 2005. xii+357 pp.
  • Weierstrass K. Zur Theorie der quadratischen und bilineareen Formen. Berlin: Monatsber. Akad. Wiss.; 1868. p. 310–338.
  • Weierstrass K. Mathematische Werke, Zweiter Band. Abhandlungen II. Berlin: Mayer & Muller; 1895. p. 19–44.
  • Mal'cev AI. Foundations of linear algebra. San Francisco (CA): W. H. Freeman; 1963. xi+304 pp. (Translation from Russian).
  • Bella T, Olshevsky V, Prasad U. Lipschitz stability of canonical Jordan bases of H-selfadjoint matrices under structure-preserving perturbations. Linear Alg Appl. 2008;428(8–9):2130–2176.

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