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A theorem for compl...
A theorem for complex symmetric matrices revisited.
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- Brändas, Erkki J. (författare)
- Uppsala universitet,Institutionen för kvantkemi
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(creator_code:org_t)
- Wiley, 2009
- 2009
- Engelska.
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Ingår i: International Journal of Quantum Chemistry. - : Wiley. - 0020-7608 .- 1097-461X. ; 109:13, s. 2860-2865
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Kemi (hsv//swe)
- NATURAL SCIENCES -- Chemical Sciences (hsv//eng)
Nyckelord
- Jordan block
- Segrè characteristic
- complex symmetry
- persymmetric matrix
- resonances
- analytic continuation
- open system
- Chemistry
- Kemi
- Kemi med inriktning mot kvantkemi
- Chemistry with specialization in Quantum Chemistry
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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