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A lower bound for the product of linear forms

Linear and Multilinear Algebra, 1997
Let x1 ,… xk be unit vectors in an n-dimensional unitary spacek ≤ n. Let A be the Gram matrix based on x1 ,… xk , i.e.A = [(xi xj )],i,j = 1,…,kThen where λ is the smallest eigenvalue of A. This inequality can be interpreted as a lower bound for the largest projection of the decomposable tensor on a completely symmetric power .
exaly   +2 more sources

On the Product of Linear Forms

American Mathematical Monthly, 1943
Gordon Pall
exaly   +4 more sources

Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: A Tensor Product Approach [PDF]

open access: yesIEEE Transactions on Automatic Control, 2006
his note uses the formalism of tensor products in order to deal with the problem of simultaneous stabilizability of a family of linear control systems by means of Lyapunov functions which are homogeneous polynomial forms.
Claudio Altafini
exaly   +5 more sources

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