On the matrix equation \(XA+AX^T =0\), II: Type 0-I interactions

On the matrix equation \(XA+AX^T =0\), II: Type 0-I interactions

The matrix equation \(XA + AX^T = 0\) was recently introduced by De Terán and Dopico to study the dimension of congruence orbits. They reduced the study of this equation to a number of special cases, several of which have not been explicitly solved. In this note we obtain an explicit, closed-form so...

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Veröffentlicht in:arXiv.org 2013-09
Hauptverfasser: Alice Zhuo-Yu Chan, Garcia German, Luis Alberto, Stephan Ramon Garcia, Shoemaker, Amy L
Format: Artikel
Sprache:eng
Schlagworte:
Closed form solutions
Congruences
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Zusammenfassung:The matrix equation \(XA + AX^T = 0\) was recently introduced by De Terán and Dopico to study the dimension of congruence orbits. They reduced the study of this equation to a number of special cases, several of which have not been explicitly solved. In this note we obtain an explicit, closed-form solution in the difficult Type 0-I interaction case.
ISSN:2331-8422