58 citations · 133 across the 18 of their papers we have counts for
8 papers · 1 filter
Congruence of matrix spaces, matrix tuples, and multilinear maps
Genrich R. Belitskii, Vyacheslav Futorny, Mikhail Muzychuk +1
Two matrix vector spaces are said to be equivalent if for some nonsingular and . These spaces are congruent if . We prove t…
Normal forms of matrices over the ring of formal series
Genrich Belitskii, Dmitry Kerner
Matrices over the ring of formal power series are considered. Normal forms with respect to various sub-groups of the two-sided transformations are constructed. The construction is…
Congruence of multilinear forms
Genrich R. Belitskii, Vladimir V. Sergeichuk
It is known that if A and B are two n-by-n complex matrices and (A,A^T) is simultaneously equivalent to (B,B^T), then A is congruent to B. We extend this statement to multilinear f…
Canonical form of m-by-2-by-2 matrices over a field of characteristic other than two
Genrich Belitskii, Maxim Bershadsky, Vladimir V. Sergeichuk
We give a canonical form of m-by-2-by-2 matrices for equivalence over any field of characteristic not two.
Complexity of matrix problems
Genrich R. Belitskii, Vladimir V. Sergeichuk
In representation theory, the problem of classifying pairs of matrices up to simultaneous similarity is used as a measure of complexity; classification problems containing it are c…
Normal form of m-by-n-by-2 matrices for equivalence
Genrich Belitskii, Maxim Bershadsky, Vladimir V. Sergeichuk
We give a canonical form of m-by-2-by-2 spatial matrices for equivalence over any field.