Geodesic
Classification problems for systems of forms and linear mappings
Izvestiya. Mathematics , Tome 31 (1988) no. 3, pp. 481-501

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A method is proposed that allows the reduction of many classification problems of linear algebra to the problem of classifying Hermitian forms. Over the complex, real, and rational fields, classifications are obtained for bilinear forms, pairs of quadratic forms, isometric operators, and selfadjoint operators. Bibliography: 30 titles. 
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     author = {V. V. Sergeichuk},
     title = {Classification problems for systems of forms and linear mappings},
     journal = {Izvestiya. Mathematics },
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     number = {3},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1988_31_3_a2/}
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V. V. Sergeichuk. Classification problems for systems of forms and linear mappings. Izvestiya. Mathematics , Tome 31 (1988) no. 3, pp. 481-501. http://geodesic.mathdoc.fr/item/IM2_1988_31_3_a2/