Lagrange multipliers

Part 1 of ebook "Multivariate calculus and geometry (Third edition)" provides readers with contents including: Chapter 1 - Introduction to differentiable functions; Chapter 2 - Level sets and tangent spaces; Chapter 3 - Lagrange multipliers; Chapter 4 - Maxima and minima on open sets; Chapter 5 - Curves in Rn; Chapter 6 - Line integrals; Chapter 7 - The Frenet-Serret equations; Chapter 8 - Geometry of curves in R3; Chapter 9 - Double integration; Chapter 10 - Parametrized surfaces in R3;...

126p daonhiennhien 03-07-2024 1 1   Download

In this paper, we study the Lagrange multiplier method of the extrema of a multivariable function, from which we apply to solve problems of finding the maximum and minimum values of general math. Moreover, from the maximum value, the smallest value found, we can find a primary solution to the problem. In addition, we also create new math problems for secondary and high school students.

10p vineville 08-02-2023 3 2   Download

This paper addresses the issue of optimal allocation of spare modules in large series-redundant systems in order to obtain a required reliability under cost constraints. Both cases of active and standby redundancy are considered.

19p redemption 20-12-2021 20 6   Download

In the mechanisms and machines operating at high speeds, the elastic vibration of links is inevitable. In this paper the dynamic modeling and controller design for a flexible four-bar mechanism are studied. The fully coupled non-linear equations of motion are obtained by using the Lagrange’s equations with multipliers for constrained multibody systems. The resulting differential-algebraic equations are solved using numerical methods. A simple PD controller is designed to reduce the influence of the elastic link on the desired motion.

5p cothumenhmong11 10-05-2021 22 3   Download

An Interior-point algorithm with a line-search globalization is proposed for solving the general nonlinear programming problem. At each iteration, the search direction is obtained as a resultant of two orthogonal vectors. They are obtained by solving two square linear systems. An upper-triangular linear system is solved to obtain the Lagrange multiplier vector. The three systems that must be solved each iteration are reduced systems obtained using the projected Hessian technique. This fits well for large-scale problems.

16p nguaconbaynhay11 07-04-2021 14 1   Download

Chapter 25 provides knowledge of constrained optimization. The contents of this chapter include all of the following: Substitution method, lagrange multiplier method.

15p larachdumlanat124 28-11-2020 15 1   Download

Chapter 26 provides knowledge of constraint optimization (lagrange multiplier method). In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables).

7p larachdumlanat124 28-11-2020 21 0   Download

The prior PDF of generalized data is defined by prior expectation values and a prior covariance matrix of generalized data that naturally includes covariance between any two components of generalized data.

6p christabelhuynh 29-05-2020 9 0   Download

This paper presents a new penalty function called logarithmic penalty function (LPF) and examines the convergence of the proposed LPF method. Furthermore, the LaGrange multiplier for equality constrained optimization is derived based on the first-order necessary condition.

10p tohitohi 22-05-2020 13 0   Download

In the paper, the program motion of an unloading manipulator which is treated as a first integral of the considered system, is investigated. Currently, the popular way to solve such problem is the method of Lagrange multipliers only. In the paper, the authors use another approach, the Principle of Compatibility, in which the required program is treated as one of motion equations of the system.

8p abcxyz123_02 03-03-2020 10 0   Download

In this paper we present a rigorous, yet easy to apply method that substitutes those tedious techniques and error prone procedures that are currently used in finding optimal portfolios. Our work is not to support or dispute the applicability of the Mean-Variance optimization method in finance; we simply offer a robust approach to find all the characteristics of any efficient portfolios, with or without bonds.

13p trinhthamhodang2 21-01-2020 21 2   Download

The study was conducted to forecast the price of black pepper in one of the major markets of Karnataka state as the state ranks first position in production of pepper in India. The Gonikoppal market in Kodagu district was selected purposively on the basis of highest area and production in the state. The monthly prices of black pepper in Gonikoppal market were collected from the Karnataka State Agricultural Marketing Board, Bangalore, Karnataka state for the year 2008-09 to 2017-18.

11p nguaconbaynhay1 04-12-2019 23 0   Download

The objective of this thesis is to apply Lagrange equations with multipliers to study dynamics and control of Delta parallel robots. Particularly, mechanical model, mathematical model, and control algorithms for Delta parallel robots are developed as a scientific basis for the research and development of parallel Delta robots.

23p xacxuoc4321 11-07-2019 49 5   Download

The maximum entropy principle has been earlier used to derive the Bose Einstein(B.E.), Fermi Dirac(F.D.) & Intermediate Statistics(I.S.) distribution of statistical mechanics. The central idea of these distributions is to predict the distribution of the microstates, which are the particle of the system, on the basis of the knowledge of some macroscopic data. The latter information is specified in the form of some simple moment constraints.

11p vinguyentuongdanh 19-12-2018 21 0   Download

The standard way to solve the static economic dispatch problem with transmission losses is the penalty factor method. The problem is solved iteratively by a Lagrange multiplier method or by dynamic programming, using values obtained at one iteration to compute penalty factors for the next until stability is attained. A new iterative method is proposed for the case where transmission losses are represented by a quadratic formula (i.e., by the traditional B-coefficients).

10p vinguyentuongdanh 20-12-2018 24 0   Download

In the present paper the form of equations of motion is written in quasi-coordinates. These equations are solved with respect to quasi-accelerations, which allow to define the motion of a holonomic and nonholonomic systems by a closed set of algebraic - differential equations. The reaction forces of constraints imposed on the system under consideration are calculated by means of a simple algorithm.

12p chikychiky 27-10-2018 40 0   Download

Lecture "Advanced Econometrics (Part II) - Chapter 2: Hypothesis testing" presentation of content: Maximum likelihood estimators, wald test, likelihood ratio test, lagrange multiplier test, application of tests procedures to linear models, hausman specification test, power and size of tests.

7p nghe123 06-05-2016 53 2   Download

Tài liệu "Phương pháp nhân tử lagrange: Method of lagrange multipliers" trình bày về các bước cơ bản của phương pháp nhân tử lagrange, định nghĩa, những câu hỏi bài tập về phương pháp nhân tử lagrange,...

11p tour12 19-12-2015 294 15   Download

Partial differential equations (PDEs) are very important in modelling as their solutions unlock the secrets to a range of important phenomena in engineering and physics. The PDE known as the wave equation models sound waves, light waves and water waves. It arises in fields such as acoustics, electromagnetics and fluid dynamics.

114p sofia11 25-05-2012 90 12   Download

Một thời điểm trục do các thành phần dọc trục của lực lượng hạn chế Lagrange Multiplier . Lực lượng này hoạt động theo cách như vậy để thúc đẩy hình trụ Mô tả việc sử dụng các chức năng IF. 2. So sánh chức năng của mục tiêu tìm kiếm và Solver. 3. Liệt kê những lợi thế của việc sử dụng quản lý Kịch bản.

13p kennguyen5 05-11-2011 65 8   Download