Results 21 to 30 of about 5,156 (174)
Expanding the applicability of the Gauss-Newton method for a certain class of systems of equations
We present a new semilocal convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition.
Ioannis K. Argyros, Santhosh George
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Factorizations induced by complete Nevanlinna-Pick factors
We prove a factorization theorem for reproducing kernel Hilbert spaces whose kernel has a normalized complete Nevanlinna-Pick factor. This result relates the functions in the original space to pointwise multipliers determined by the Nevanlinna-Pick ...
Aleman, Alexandru +3 more
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On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation
We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval.
Hameed Husam Hameed +3 more
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Roots of random polynomials whose coefficients have logarithmic tails
It has been shown by Ibragimov and Zaporozhets [In Prokhorov and Contemporary Probability Theory (2013) Springer] that the complex roots of a random polynomial $G_n(z)=\sum_{k=0}^n\xi_kz^k$ with i.i.d.
Kabluchko, Zakhar, Zaporozhets, Dmitry
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ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n
Some of the earlier results of author concerning distortion of the moduli of ring domains under planar locally quasiconformal mappings are generalized on the case of locally quasiconformal mappings in Rn, n ≥ 2.
S. Yu. Graf
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СREATION OF CORRELATION FUNCTIONS OF LINEAR CONTINUOUS SYSTEMS BASED ON THEIR FUNDAMENTAL MATRICES [PDF]
The paper presents a method of creating correlation matrices and functions of the state vectors and outputs of the linear continuous systems functioning under the conditions of stochastic stationary, in a broad sense, effects.
N. A. Vunder +3 more
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Linear correlations of multiplicative functions
We prove a Green--Tao theorem for multiplicative functions.Comment: 60 pages; final ...
Matthiesen, Lilian
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Relaxed Majorization-Minimization for Non-smooth and Non-convex Optimization
We propose a new majorization-minimization (MM) method for non-smooth and non-convex programs, which is general enough to include the existing MM methods.
Lin, Zhouchen +3 more
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In this paper, some exact inequalities between the best approximations of periodic differentiable functions with trigonometric polynomials and generalized moduli of the continuity Ωm of m-th order in L₂[0, 2π] space are found.
M. R. Langarshoev
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Nonparametric confidence intervals for monotone functions
We study nonparametric isotonic confidence intervals for monotone functions. In Banerjee and Wellner (2001) pointwise confidence intervals, based on likelihood ratio tests for the restricted and unrestricted MLE in the current status model, are ...
Groeneboom, Piet, Jongbloed, Geurt
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