【摘 要】
：
We discuss several open problems that have spurred substantial research activities in tensors in recent years. These problems may be more or less divided by
【机 构】
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UniversityofChicago
【出 处】
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2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
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We discuss several open problems that have spurred substantial research activities in tensors in recent years. These problems may be more or less divided by three very different invariants of a tensor: rank, determinant, norm. Resolutions of these problems would lead to ma jor advances in our understanding of computing—numerical, classical, and quantum. These problems include: exponent of matrix multiplication, direct sum conjecture, Grothendieck constant, Comon conjecture, complexity of hyperdeterminant and symmetric rank, decidability of rank, most-entangled state, etc.
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