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math.FA2019★ 2 cited
Plurisubharmonic Noncommutative Rational Functions
Harry Dym, J. William Helton, Igor Klep +2
A noncommutative (nc) function in is called plurisubharmonic (plush) if its nc complex Hessian takes only positive semidefinite values on an nc neig…
math.FA2019
Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions
Eric Evert, J. William Helton, Shiyuan Huang +1
This paper analyses a Waring type decomposition of a noncommuting (NC) polynomial with respect to the goal of evaluating efficiently on tuples of matrices. Such a decomposi…