Newton method

Part 1 of ebook "Linear and nonlinear programming (Fourth edition)" provides readers with contents including: Chapter 1 - Introduction; Chapter 2 - Basic properties of linear programs; Chapter 3 - The simplex method; Chapter 4 - Duality and complementarity; Chapter 5 - Interior-point methods; Chapter 6 - Conic linear programming; Chapter 7 - Basic properties of solutions and algorithms; Chapter 8 - Basic descent methods; Chapter 9 - Conjugate direction methods; Chapter 10 - Quasi-Newton methods;...

326p daonhiennhien 03-07-2024 3 1   Download

In this paper, we study the convergence and convergence rates of damped Newton algorithms for solving unconstrained optimization problems with twice continuously differentiable objective functions.

14p visergeyne 18-06-2024 2 0   Download

Lecture "Fundamentals of optimization: Unconstrained convex optimization" provides students with content about: Unconstrained optimization problems; Descent method; Gradient descent method; Newton method; Subgradient method;... Please refer to the detailed content of the lecture!

28p gaupanda031 20-05-2024 7 3   Download

Part 1 book "Flexible AC transmission systems (FACTS) - Newton power-flow modeling of voltage-sourced converter based controllers" includes content: FACTS and FACTS controllers; introduction to the Newton–raphson method and the power flow; Newton power flow model of the static synchronous series compensator; Newton power flow model of the unified power flow controller.

167p dianmotminh01 14-05-2024 5 0   Download

The identification of students’ mental models is crucial in understanding their knowledge of scientific concepts. This research aimed to develop a Mental Models Representation Instrument on Newton's Laws (MeMoRI-NL). The ADDIE (Analyzing, Designing, Developing, Implementing and Evaluating) model was used as a research method.

10p viarnault 25-04-2024 2 1   Download

Part 2 book "Applied parameter estimation for chemical engineers" includes content: Gauss-Newton method for partial differential equation (PDE) models, statistical inferences, design of experiments, recursive parameter estimation, parameter estimation in nonlinear thermodynamic models - cubic equations of state, parameter estimation in nonlinear thermodynamic models - activity coefficients, parameter estimationin chemical reaction kinetic mode,... and other contents.

268p muasambanhan08 01-03-2024 4 1   Download

Part 1 book "Applied parameter estimation for chemical engineers" includes content: Formulation of the parameter estimation problem, computation of parameters in linear models linear regression, Gauss Newton method for algebraic models, other nonlinear regression methods for algebraic models, gauss newton method for ordinary differential equation (ODE) models, shortcut estimation methods for ODE models, practical guidelinesf or algorithm implementation, constrained parameter estimation.

191p muasambanhan08 01-03-2024 0 0   Download

Part 2 book "Numerical methods for engineers" includes content: Least squares regression; interpolation; fourier approximation; case studies - curve fitting; Newton cotes integration formulas; integration of equations; numerical differentiation; case studies - numerical integration and differentiation; Runge-Kutta methods; stiffness and multistep methods; boundary value and eigenvalue problems; case studies - ordinary differential equations,... and other contents.

531p muasambanhan06 01-02-2024 2 1   Download

In this paper, we present a new improvement of the third-order Newton-Krylov method with a quaternary convergence rate and prove the convergence of the iterative formula. In addition, the paper also presents an experimental result to demonstrate the convergence speed of the method.

9p viberkshire 09-08-2023 7 4   Download

The nonlinear kinematic wave model is developed from the Saint Venant system of equations, which includes a nonlinear kinematic wave program that solves the system of equations by Newton's iterative method and a linear kinematic wave program for calculations initial flow value. The developed model is tested with sample problems and compared with the simulation results by Mike 11 model on Tra Khuc river.

13p viironman 02-06-2023 7 3   Download

Lecture Convex optimization - Chapter: Equality constrained minimization. This chapter presents the following content: Equality constrained minimization, eliminating equality constraints, Newton’s method with equality constraints, infeasible start Newton method, implementation.

19p runthenight09 16-05-2023 6 3   Download

Lecture Convex optimization - Chapter: Unconstrained minimization. This chapter presents the following content: Terminology and assumptions, gradient descent method, steepest descent method, Newton’s method, self-concordant functions, implementation.

30p runthenight09 16-05-2023 4 3   Download

This paper establishes a dynamic model of tractor semitrailer vehicle, based on Multi-Body System Method analysis and Newton-Euler equations with Burckhardt’s tire model. This model is applied to evaluate the effect of road conditions on lateral instability of the tractor semitrailer vehicle during turning maneuver.

7p viporsche 25-10-2022 6 3   Download

(BQ) Ebook Numerical Method for unconstrained optimization and nonlinear equations: Part 1 presents the following content: Nonlinear problems in one variable, numerical linear algebra background, multivariable calculus background, Newton's method for nonlinear equations and unconstrained minimization, globally convergent modifications of Newton's Method.

171p runordie6 10-08-2022 20 4   Download

In this paper, a full dynamic model of tractor semitrailer is developed based on Multi-body System Method and Newton-Euler equations. The rollover condition is based on the load transfer ratio which corresponds to the load transfer between the left and the right sides of the vehicle.

5p vimelindagates 18-07-2022 6 4   Download

The paper "Global exponential stability of switched neutral systems with time-varying delays" deals with the problem of global exponential stability for a class of switched neutral systems with time-varying delays. Based on improved Lyapunov-Krasovskii functional method combined with the Leibniz-Newton formula, linear matrix inequalities (LMIs) conditions are proposed for the exponential stability of the considered systems under arbitrary switching signal. A numerical example showing the effectiveness of our conditions is given.

9p runordie3 27-06-2022 10 3   Download

Lecture Methods of Electric power systems analysis - Lesson 4: Power flow provide students with knowledge about using the Ybus; solving for bus currents; solving for bus voltage; complex power being consumed by the load, and the power being injected by the generators plus their voltage magnitudes; power balance equations; early power flow system size;...

63p hanthienngao 15-04-2022 15 1   Download

Lecture Methods of Electric power systems analysis - Lesson 5: Power flow provide students with knowledge about two bus Newton-Raphson example; two bus solved values; two bus case low voltage solution; practical power flow software note; two bus region of convergence; power flow fractal region of convergence; modeling voltage dependent load;...

38p hanthienngao 15-04-2022 16 1   Download

Lecture Calculus - Chapter 21: Newton’s Method. After studying this section will help you understand: which gave him the germ of an idea for devising a method that iteratively finds solutions of equations of the form f(x) = 0,...

8p diepchilang 22-08-2021 19 1   Download

The vibration of the composite stiffened cylindrical shell with piezoelectric layers subjected to shock wave is presented in this paper. The differential equations which describe the nonlinear oscillation dynamic of the shell are solved by the Newton-Raphson iterative method in combination with the Newmark direct integration method. Numerical results are solved for the structures subjected to the effect of shock wave in MATLAB software. On the basis of the program, the effect of piezoelectric and stiffener on the nonlinear oscillation of the cylindrical composite shell are considered.

12p cothumenhmong11 05-05-2021 14 1   Download