102 citations · 235 across the 20 of their papers we have counts for
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math.OC2008★ 1 cited
Matrix Cubes Parametrized by Eigenvalues
Jiawang Nie, Bernd Sturmfels
An elimination problem in semidefinite programming is solved by means of tensor algebra. It concerns families of matrix cube problems whose constraints are the minimum and maximum…
math.AG2008★ 12 cited
Sagbi Bases of Cox-Nagata Rings
Bernd Sturmfels, Zhiqiang Xu
We degenerate Cox-Nagata rings to toric algebras by means of sagbi bases induced by configurations over the rational function field. For del Pezzo surfaces, this degeneration impli…
math.AC2008★ 1 cited
Normal Toric Ideals of Low Codimension
Pierre Dueck, Serkan Hosten, Bernd Sturmfels
Every normal toric ideal of codimension two is minimally generated by a Grobner basis with squarefree initial monomials. A polynomial time algorithm is presented for checking wheth…