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An extension of the renewal equation and its application in the collective theory of risk

✍ Scribed by Gerber, Hans U.


Book ID
120011262
Publisher
Taylor and Francis Group
Year
1970
Tongue
English
Weight
248 KB
Volume
1970
Category
Article
ISSN
0346-1238

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The solution of the equation and its app
✍ Fernando De TerΓ‘n; FroilΓ‘n M. Dopico πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 348 KB

We describe how to find the general solution of the matrix equation XA + AX T = 0, with A ∈ C nΓ—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 nΓ—n , because the set {XA + AX T : X ∈ C nΓ—