Newton’s method for finding extremum of strongly convex functionals
Analysis of the solution of nonlinear equations for finding the extremum of functions. Extension of the domain of convergence from different initial approximations that do not satisfy the conditions for the convergence of the classical Newton method.
Подобные документы
Obtaining the asymptotic solution of the weakly nonlinear scalar oscillator resulting amplitude equation. The regular perturbation method generally feature secular behavior. The renormalization group method proposed by Chen, Goldenfeld, and Oono.
статья, добавлен 09.09.2012The usual interpretations of Newton's and Leibniz's view on the nature of space and the relativity of motion. A more accurate rendering of the opposition between Newton and Leibniz. Leibniz's theory of space against the representation of motion.
статья, добавлен 09.09.2012The blackbody radiation problem within classical physics is reviewed. Discussion of Fundamental Constants. Analysis Maxwell’s equations. Linear and Nonlinear Oscillator Scatterers. Wien Displacement Law and the Mismatch with the Boltzmann Distribution.
статья, добавлен 11.09.2012Results of tests of the model of the motor-generator – the convincing proof of an inaccuracy of the first law of Newton and existing electrodynamics. Formation of an autonomous energy source with the service life equal to service life of the accumulator.
статья, добавлен 04.02.2019Electric Induction Force in Railguns. The railgun accelerator. Derivation of Lorentz Force Law. The force exerted on a particle due to a potential energy. Weber Force Law and Amp`ere Force Law. Riemann Force Law. Newton’s law of action and reaction.
статья, добавлен 11.09.2012Newton’s laws for gravitation and resultant acceleration. Modeling a two body motion analogue system. The assumption that the angular velocities involved were considerably more less than one radians per second. Using of the Lambert’s wave function.
статья, добавлен 09.09.2012A method of data processing – a structural functions curvature analysis method. Applied to the time series of seismodeformation monitoring of Baikal rift zone. Ideas of physics of self-organized criticality and open non-equilibrium systems in general.
статья, добавлен 23.01.2014Analysis of differential equations encountered in various applications, which are interpreted as equations in graphs. Using graph properties to create a high-quality theory of such equations and methods for their solution. Description of the graph struc
статья, добавлен 12.08.2020The effectiveness of the solution algorithms, integration of Euler’s method. Substantial foundations of the theory of creep. Requirements for a number of material constants that describe the experiment. Foundations of hypotheses of the microstrains.
статья, добавлен 29.11.2016Presented PDE-method for solution of the Fokker-Planck Equation is proposed to study the beam dynamic in the storage ring. This method has been implemented in the new OPLEQ code. The results of numerical calculations obtained by this code are presented.
статья, добавлен 12.09.2013A method of a research of irregular multimode optical waveguides as nonlinear dynamic dissipative systems. The scattering of a controlled mode as a process of transition of a certain dynamic dissipative system from an "ordered" state to a "chaos" state.
статья, добавлен 07.11.2018Design of multi-input devices of relay protection and automatics on the basis of the structural linguistic method. The development of the steady-state devices in the conditions of variety of input meaningful situations. Methods of improvement of CAD.
статья, добавлен 09.09.2016- 13. Formation features of thin bilayer objects "Conductor-dielectric" obtained by screen printing method
Rheologycal viscosity analysis as one of the features of initial three-component solutions and dielectric pastes. Determination of conductive layer thickness that changing due to plasticizer dibutyl phthalate content in dielectric paste composition.
статья, добавлен 30.07.2016 The essence of the method of a round flat constant power probe used to determine the thermal characteristics of solids. Formulas for calculating thermal conductivity and thermal diffusivity. Measuring equipment, analysis of experimental results.
статья, добавлен 30.05.2021Development of optimization method for wind power stations using integral assessment of the object and the method of dynamic programming. The stability of the system, the percentage capacity increase. To determine the optimal structure of a wind station.
статья, добавлен 27.09.2016The nonlinearly damped semilinear wave equation and a thermoelastic Mindlin-Timoshenko plate system with nonlinear viscous damping. The upper semi-continuity of the attractor with respect to the parameters related to the coupling terms and the shear.
статья, добавлен 30.10.2016Finding necessary conditions for finite sequences of positive numbers to of spectra of the Dirichlet-Dirichlet, Dirichlet-Neumann, Neumann-Dirichlet and Neumann-Neumann boundary value problems generated by Stieltjes string recurrence relations.
статья, добавлен 19.02.2016The advantages of the method of modulation polarimetry applied to the sample in the quartz glass plate to identify its internal thermal stresses caused by the spreading of the thermal wave. The solution to the problem of non-stationary thermoelasticity.
статья, добавлен 26.06.2016Nanocomposite multicomponent coating obtained by vacuum arc deposition method. Analysis of the of the structure of the coating, elemental distribution and composition of the impurity elements using the methods Rutherford backscattering, mass spectrometry.
статья, добавлен 30.07.2016Development of a method for increasing the energy efficiency of a household refrigerator by intensifying the process of heat removal from the refrigeration unit with modern fans for blowing the surfaces of the compressor and condenser unit of the device.
статья, добавлен 20.06.2020Asymptotic formulas for stray fields of arbitrarily oriented magnetic and electric dipoles located on the axis of a translucent disk. Using the Kirchhoff approximation and the stationary phase method. Numerical solution of a singular integral equation.
статья, добавлен 05.11.2018The features of surface waves motion and the analysis of methods for finding the timing and patterns of change in motion R-waves along the free surface. The calculate time - frequency performance under different formulas and compared with each other.
статья, добавлен 27.07.2016Analysis of parameters of the impact model measuring the accuracy of orientation using the QUEST and TRIAD method. Analysis of the influence of the parameters of the measuring model on the accuracy of determining the orientation of space vehicles.
статья, добавлен 22.12.2016The renormalization-group analysis of turbulence, based on KG Wilson’s coarse-graining procedure, leads to suggestive results for turbulence coefficients and models. The RG method, a calculation procedure successfully employed in many areas of physics.
статья, добавлен 09.09.2012The study of nonlinear dynamics of neurophysiological systems identify the presence of chaotic elements. Complex characteristic based on microsystem technology Geomath. Correlation method of measurement and statistical significance of the results.
статья, добавлен 29.07.2016