4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.RA2012★ 4 cited
On common eigenvectors for semigroups of matrices in tropical and traditional mathematics
Grigory Shpiz, Grigory Litvinov, Sergei Sergeev
We prove the existence of a common eigenvector for commutative, nilpotent and quasinilpotent semigroups of matrices with complex or real nonnegative entries both in the conventiona…
math.NA2010★ 2 cited
Universal algorithms, mathematics of semirings and parallel computations
G. L. Litvinov, V. P. Maslov, A. Ya. Rodionov +1
This is a survey paper on applications of mathematics of semirings to numerical analysis and computing. Concepts of universal algorithm and generic program are discussed. Relations…
math-ph2005
The dequantization transform and generalized Newton polytopes
G. L. Litvinov, G. B. Shpiz
For functions defined on C^n or (R_+)^n we construct a dequantization transform, which is closely related to the Maslov dequantization. The subdifferential at the origin of a dequa…