Congruence of multilinear forms

Abstract

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 forms.

16 pages

References in corpus (4)

• Canonical forms for complex matrix congruence and *congruence
• Classification problems for system of forms and linear mappings
• Congruences of a square matrix and its transpose
• Canonical matrices of bilinear and sesquilinear forms

Cited by in corpus (3)

• The quantum group of a preregular multilinear form
• Congruence of matrix spaces, matrix tuples, and multilinear maps
• Centers of Multilinear Forms and Applications