The solution of the equation and its app
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Fernando De TerΓ‘n; FroilΓ‘n M. Dopico
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Article
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2011
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Elsevier Science
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English
β 348 KB
We describe how to find the general solution of the matrix equation XA + AX T = 0, with A β C nΓn , 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 nΓn , because the set {XA + AX T : X β C nΓ