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On the Moutard transformation and its applications to spectral theory and Soliton equations

✍ Scribed by I. A. Taimanov; S. P. Tsarëv


Publisher
Springer US
Year
2010
Tongue
English
Weight
586 KB
Volume
170
Category
Article
ISSN
1573-8795

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The solution of the equation and its app
✍ Fernando De Terán; Froilán M. Dopico 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 348 KB

We describe how to find the general solution of the matrix equation XA + AX T = 0, with A ∈ C n×n , which allows us to determine the dimension of its solution space. This result has immediate applications in the theory of congruence orbits of matrices in C n×n , because the set {XA + AX T : X ∈ C n×