57 citations · 275 across the 73 of their papers we have counts for
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On generic and maximal k-ranks of binary forms
Samuel Lundqvist, Alessandro Oneto, Bruce Reznick +1
In what follows, we pose two general conjectures about decompositions of homogeneous polynomials as sums of powers. The first one (suggested by G. Ottaviani) deals with the generic…
Something You Always Wanted to Know About Real Polynomials (But Were Afraid to Ask)
Vladimir Petrov Kostov, Boris Shapiro
The famous Descartes' rule of signs from 1637 giving an upper bound on the number of positive roots of a real univariate polynomials in terms of the number of sign changes of its c…
Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum
Boris Shapiro, František Štampach
We introduce and investigate a class of complex semi-infinite banded Toeplitz matrices satisfying the condition that the spectra of their principal submatrices accumulate onto a re…