Ela 450
نویسندگان
چکیده
We solve the matrix equation XA+AX = 0, where A ∈ C is an arbitrary given square matrix, and we compute the dimension of its solution space. This dimension coincides with the codimension of the tangent space of the congruence orbit of A. Hence, we also obtain the (real) dimension of congruence orbits in C. As an application, we determine the generic canonical structure for congruence in C and also the generic Kronecker canonical form of palindromic pencils A+ λA.
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