Canonical forms for complex matrix congruence and ∗congruence
نویسندگان
چکیده
منابع مشابه
Canonical forms for complex matrix congruence and *congruence
Canonical forms for congruence and *congruence of square complex matrices were given by Horn and Sergeichuk in [Linear Algebra Appl. 389 (2004) 347–353], based on Sergeichuk’s paper [Math. USSR, Izvestiya 31 (3) (1988) 481–501], which employed the theory of representations of quivers with involution. We use standard methods of matrix analysis to prove directly that these forms are canonical. Ou...
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Let F : U × · · · × U → K, G : V × · · · × V → K be two n-linear forms with n > 2 on vector spaces U and V over a field K. We say that F and G are symmetrically equivalent if there exist linear bijections φ1, . . . , φn : U → V such that F (u1, . . . , un) = G(φi1u1, . . . , φinun) for all u1, . . . , un ∈ U and each reordering i1, . . . , in of 1, . . . , n. The forms are said to be congruent ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2006.01.005