35 citations · 45 across the 4 of their papers we have counts for
4 papers
Generalized Kantorovich-type theorem for the Fixed Slope Iterations
Andrei Dubin
The extended modification of the Newton method is considered when the inverse of the derivative (of the operator F(x) in the equation F(x)=0) is replaced by an invertible bounded x…
An improved convergence theorem for the Newton method under relaxed continuity assumptions
Andrei Dubin
In the framework of the majorization technique, an improved condition is proposed for the semilocal convergence of the Newton method under the mild assumption that the derivative o…
Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 2. 1/θExpansion
Jan Ambjorn, Andrei Dubin, Yuri Makeenko
We analyze the and 1/N expansions of the Wilson loop averages in the two-dimensional noncommutative gauge theory with the parameter of noncommutati…
Dynamics of the QCD String with Light and Heavy Quarks
E. L. Gubankova, A. Yu. Dubin
The generalization of the effective action [1] of the quark--antiquark system in the confining vacuum is performed for the case of arbitrary quark masses. The interaction of quarks…