Geodesic
An Elementary Proof of the Jordan--Kronecker Theorem
Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 857-870

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper presents a proof of the Jordan–Kronecker theorem on the reduction to canonical form of a pair of skew-symmetric bilinear forms on a finite-dimensional linear space over an algebraically closed field.
Keywords: Jordan–Kronecker theorem, skew-symmetric bilinear form, Jordan block, Kronecker block, algebraically closed field, finite-dimensional linear space, self-adjoint operator, symplectic space, Lagrange subspace. 
@article{MZM_2013_94_6_a5,
     author = {I. K. Kozlov},
     title = {An {Elementary} {Proof} of the {Jordan--Kronecker} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {857--870},
     publisher = {mathdoc},
     volume = {94},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a5/}
}
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I. K. Kozlov. An Elementary Proof of the Jordan--Kronecker Theorem. Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 857-870. http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a5/