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A theorem for complex symmetric matrices revisited.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
2009 (English)In: International Journal of Quantum Chemistry, ISSN 0020-7608, E-ISSN 1097-461X, Vol. 109, no 13, 2860-2865 p.Article in journal (Refereed) Published
Abstract [en]

In this contribution we will revisit the celebrated theorem that every   square matrix is similar to a (complex) symmetric matrix and that every   symmetric matrix is orthogonally similar to a given normal canonical   form. Specifically we will re-examine the proof as well as the   derivation of an explicit n-dimensional complex symmetric form. We will   extend the formula to incorporate the various powers of the original   normal form, a derivation not previously provided. Some examples of   these complex symmetric forms in chemical and physical applications are   indicated.

Place, publisher, year, edition, pages
2009. Vol. 109, no 13, 2860-2865 p.
Keyword [en]
Jordan block, Segrè characteristic, complex symmetry, persymmetric matrix, resonances, analytic continuation, open system
National Category
Chemical Sciences
Research subject
Chemistry with specialization in Quantum Chemistry
Identifiers
URN: urn:nbn:se:uu:diva-122588DOI: 10.1002/qua.22097ISI: 000269926200006OAI: oai:DiVA.org:uu-122588DiVA: diva2:310661
Available from: 2010-04-15 Created: 2010-04-15 Last updated: 2011-03-18Bibliographically approved

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Brändas, Erkki J.

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