Victor Vinnikov
- Noncommutative reproducing kernel Hilbert spaces
2016/02/02 by Joseph A. Ball, Gregory Marx, Ball, Joseph A. +3 · 8 citations
Mathematics · Computer Science · #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Mathematical functions and polynomials
- Linear Matrix Inequality Representation of Sets
2003/06/11 by J. William Helton, Victor Vinnikov, Helton, J. William +1 · 6 citations
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms #Stability and Control of Uncertain Systems #math.AG #math.OC
- Foundations of Free Noncommutative Function Theory
2012/12/27 by Dmitry S. Kaliuzhnyi-Verbovetskyi, Kaliuzhnyi-Verbovetskyi, Dmitry S., Victor Vinnikov +1 · 6 citations
Computer Science · Mathematics · #17A50 #40A05 #4602 #46L52 #46L54 #47A60 #47L25 #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical and Theoretical Analysis #Operator Algebras (math.OA) #advanced mathematical theories
- Noncommutative rational functions, their difference-differential\n calculus and realizations
2010/03/02 by Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov, Kaliuzhnyi-Verbovetskyi, Dmitry S. +1 · 2 citations
Computer Science · #Formal Methods in Verification #Petri Nets in System Modeling #Polynomial and algebraic computation
- Interpolation and transfer-function realization for the noncommutative Schur-Agler class
2016/02/02 by Joseph A. Ball, Gregory Marx, Ball, Joseph A. +3 · 2 citations
Mathematics · #47A60 #47B32 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
- Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface, and a matrix Fay trisecant identity
1997/12/23 by Joseph A. Ball, Victor Vinnikov, Ball, Joseph A. +1 · 1 citation
Mathematics · #14H60 #14M12 #47A56 (primary) 14H42 #47A57 (secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #alg-geom #math.AG #msc:14H42 #msc:14H60 #msc:14M12 #msc:47A56 #msc:47A57
- Noncommutative Christoffel-Darboux Kernels
2021/06/11 by Serban T. Belinschi, Belinschi, Serban T., Victor Magron +3 · 2 citations
Mathematics · #Advanced Mathematical Physics Problems #Advanced Operator Algebra Research #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Optimization and Control (math.OC) #Spectral Theory in Mathematical Physics
- Realizations of non-commutative rational functions around a matrix centre, II: The lost-abbey conditions
2020/09/17 by Motke Porat, Porat, Motke, Victor Vinnikov +1 · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Numerical methods for differential equations #Operator Algebras (math.OA) #Optimization and Control (math.OC) #Rings and Algebras (math.RA)
- Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras
2021/04/28 by Motke Porat, Victor Vinnikov · 1 citation
Computer Science · Mathematics · #Polynomial and algebraic computation #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research