11 citations · 18 across the 3 of their papers we have counts for
4 papers
Rational transformations of algebraic curves and elimination theory
Alexander Shapiro, Victor Vinnikov
Elimination theory has many applications, in particular, it describes explicitly an image of a complex line under rational transformation and determines the number of common zeroes…
Non-commutative positive kernels and their matrix evaluations
Dmitry S. Kalyuzhny\uı-Verbovetzki\uı, Victor Vinnikov
We show that a formal power series in non-commuting indeterminates is a positive non-commutative kernel if and only if the kernel on -tuples of matrices of any size obtaine…
Linear Matrix Inequality Representation of Sets
J. William Helton, Victor Vinnikov
This article concerns the question: which subsets of can be represented with Linear Matrix Inequalities, LMIs? This gives some perspective on the scope and limitati…
Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface, and a matrix Fay trisecant identity
Joseph A. Ball, Victor Vinnikov
This paper presents a new approach to constructing a meromorphic bundle map between flat vector bundles over a compact Riemann surface having a prescribed Weil divisor (i.e., havin…