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Using Newton's Iterative method to find the root of the following equation near 1.5:2x^3-4x^2+3x-6=0

Using Newton's Iterative method to find the root of the following equation near 1.5:2x^3-4x^2+3x-6=0 As for the Newton iterative method, in the course of computational methods, the basic formula is: xn+1=xn-f (Xn)/F *(Xn) xn+1 is the n+1 iteration result,Xn is the nth iteration result,f * ( Xn) is the Guide function value of f (Xn) . Basic steps: The first step is to rewrite the equation as polynomial f (x) =2x^3-4x^2+3x-6, given initial value X0; T

Machine Learning--Newton method

First, to discuss a simple example, if you want to find the point of the function f (x) =0, you can do the following.If our initial value is X0, then the tangent of f (x) at that point, looking for a tangent to the x-axis intersection, the point as a known point, looking for a tangent, repeat the above operation, you can quickly approximate f (x) =0 point.The idea is used to solve the maximum likelihood function, the general maximum value satisfies = 0, then the operation can be done. If it is a

Gauss-Newton Method (c + + implementation)

#include #include #include using namespace Eigen; #define ITER_STEP (1e-5) #define ITER_CNT () typedef void (*FUNC_PTR) (const VECTORXD &input, const VECTORXD & Amp;params, Vectorxd &output); void People_func (const vectorxd &input, const

Python computing Newton iteration polynomial instance analysis

This article describes how to use python to calculate Newton's iterative polynomials. it involves the related skills of Python mathematical operations. For more information, see the example in this article. Share it with you for your reference. The

The interpretation and comparison of gradient descent method and Newton's method

1 Gradient Descent methodWe use the gradient descent method to find the x corresponding to the minimum value f (x) of the objective function, so how do we find the minimum point x? Note that our X is not necessarily one-dimensional, it can be

Newton's law continues to be unstable.

Today, it is found that the terminating condition of the iterative process was incorrectly written, and should be terminated when the gradient value is less than a certain value, instead of the gradient value +hessian* increment less than a certain

Newton's basic Interpolation Polynomials

# Include Using namespace STD;Int main (){Static float lx [10], Ly [10];Int N, I, j;Float X, Y, P;Cout Cin> N ;//Cout For (I = 0; I Cin> lx [I];Printf ("Enter Yi/N ");For (I = 0; I Cin> LY [I];Printf ("Enter x = ");Cin> X;Int K = 1;Y = ly [0];For (j

Newton Interpolation Method

# Include # Include # Include Double CS (double F [], double X [], int N) { Double S = 0.0, t = 0.0; Int I, J; For (I = 0; I { T = 1.0; For (j = 0; j For (j = I + 1; j T = f [I]/t; S = S + T; if (I> N) break; } Return S; } Double N (double F [],

Gauss-Newton Method (c + + implementation)

#include #include #include using namespace Eigen; #define ITER_STEP (1e-5) #define ITER_CNT () typedef void (*FUNC_PTR) (const VECTORXD &input, const vectorxd¶ MS, Vectorxd &output); void People_func (const vectorxd &input, const VECTORXD¶MS,

Maya using kinetics as Newton Pendulum

This is a very interesting little animation, very simple. Follow me step-by-step. 1, create a shelf, such as figure. 2, create a nurbs ball and move it. 3, in the side view using the X key to create two EP curves. 4, create a circle, in the side

[Swift algorithm] Babylon law (Newton's iterative method) seeking square root

Mathematical principle derivation: f (x) = x2-n---formula (1) n is a value that requires a square root, such as the square root n = 100, which requires 100, so the problem is converted to the 0 point of F (x), the derivative of f (Xn) is the slope

Newton's method in C #

Code highlighting produced by Actipro CodeHighlighter (freeware)http://www.CodeHighlighter.com/--> 1 Public   Static   Class Bondinterestmath 2 { 3 Public   Delegate   Double Function ( Double X ); 4 5

Use Newton Iteration Method to write the square root function sqrt

 ----- Edit by ZhuSenlin HDU Given a positive number a, the square root of the database function is not required. Set the square root of x, there is x2 = a, that is, the x2-a = 0. If function f (x) = x2-a, the red function curve is displayed. Take a

Programming simulation Nature (vii): Mechanics Vector and Newton's Law

OrderOld books have a cloud: the ancients 10th and out, vegetation Gio, a day Hou Yi shooting days, the Sun nine birds are dead, save people in scourged.It is rumored that Hou Yi used the arrows to hold the mechanical simulation system, which can

Newton's method

Function: 1. Obtain the root of the equation. 2. Optimize the equation.First, select a function that is close to the zero point and calculate the corresponding and tangent slope (the derivative of the function here ). Then we calculate the

Evaluate the approximate value of a function using the polynomial formula of Newton Interpolation

The following sectionCodeYesfromLiuhenghui5201 was used for reference, but he did not writeAlgorithmThat's it! It's just learning Numerical Analysis and implementing the results on the machine! Original address

Optimization study Notes (17)--Quasi-Newton method (3)

Rank 1 Correction Formula In the Rank 1 correction formula, the modifier is αkz (k) z (k) t,αk∈r,z (k) ∈rn \alpha_k\boldsymbol{z}^{(k)}\boldsymbol{z}^{(k) T}, \alpha_k \in \mathbb{r}, \ boldsymbol{z}^{(k)} \in \mathbb{r}^n, is a symmetric matrix,

Newton's three great laws

1. Newton's first Law All objects always remain in a state of uniform motion or stillness, unless the force acting on it forces it to change this state. This is Newton's first law. Newton's first law is also called the law of inertia. 2.

Introduction to several common optimization algorithms for machine learning

Introduction to several common optimization algorithms for machine learning789491451. Gradient Descent method (Gradient descent) 2. Newton's method and Quasi-Newton method (Newton ' s method Quasi-Newton Methods) 3. Conjugate gradient method (conjugate Gradient) 4. Heuristic Optimization Method 5. Solving constrained optimization problems--Lagrange multiplier me

The first chapter of the history of quantum physics

nothing to do with particle fluctuations, but has aroused heated debate on the color attributes. In the eyes of gleemadi, the difference in color is caused by the different frequencies of light waves. His experiment attracted interest from Robert Hoke. Hooku was originally a lab assistant to poyier, a member of the Royal Society of England, and also a lab administrator. He repeat greemadi's work and carefully observes the colors mapped by light in the soap bubble and the radiance of light over

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