We establish the equivalence between the problem of existence of associative bilinear forms and the problem of solvability in commutative power-associative finite-dimensional nil-algebras. We use the tensor product to find ...

We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c0 in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits ...

Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices under *congruence are given over an algebraically ...

The existence of nondegenerate invariant bilinear forms is one of the most important tools in the study of Kac-Moody Lie algebras and extended affine Lie algebras. In practice, these forms are created, or shown to exist, ...

Arnold [V.I. Arnold, On matrices depending on parameters, Russian Math. Surveys 26 (2) (1971) 29-43] constructed miniversal deformations of square complex matrices under similarity; that is, a simple normal form to which ...

A general expression is derived for estimating the sensitivity of second-order bilinear calibration models, particularly parallel factor analysis (PARAFAC) and bilinear least-squares (BLLS), whether the second-order advantage ...

We study the extent to which several classical results relating linear or multilinear forms and their zero-sets can be generalised to linear or bilinear operators with values in Rn. We find some analogues of the classical ...

The present work presents the study and implementation of an adaptive bilinear compensated generalized predictive controller. This work uses conventional techniques of predictive control and includes techniques of adaptive ...