A theorem for complex symmetric matrices revisited.

• 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)

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