A theorem for complex symmetric matrices revisited.
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
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.
Jordan block, Segrè characteristic, complex symmetry, persymmetric matrix, resonances, analytic continuation, open system
Research subject Chemistry with specialization in Quantum Chemistry
IdentifiersURN: urn:nbn:se:uu:diva-122588DOI: 10.1002/qua.22097ISI: 000269926200006OAI: oai:DiVA.org:uu-122588DiVA: diva2:310661