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On the maximum rank of a tensor product

โœ Scribed by P. Pamfilos


Publisher
Akadmiai Kiad
Year
1985
Tongue
English
Weight
160 KB
Volume
45
Category
Article
ISSN
1588-2632

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๐Ÿ“œ SIMILAR VOLUMES


Tensor ranks for the inversion of tensor
โœ Eugene Tyrtyshnikov ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

The main result reads: if a nonsingular matrix A of order n = pq is a tensor-product binomial with two factors then the tensor rank of A -1 is bounded from above by min{p, q}.

On webs of maximum rank
โœ John B. Little ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 754 KB

This paper contains two results on webs of maximal rank. First, we show that at each point, the web normals for a codimension-r web of maximum r-rank are (r -1)-dimensional generators of a rational normal scroll in the projectivized tangent space to the web domain, an extension of a theorem of Chem.