Can we find an example of a function $f$ such that Newton-Raphson converges with rate higher than 2?
2026-03-27 16:27:02.1774628822
Newton-Raphson converges with rate higher than 2?
58 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in NUMERICAL-METHODS
- The Runge-Kutta method for a system of equations
- How to solve the exponential equation $e^{a+bx}+e^{c+dx}=1$?
- Is the calculated solution, if it exists, unique?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Minimum of the 2-norm
- Is method of exhaustion the same as numerical integration?
- Prove that Newton's Method is invariant under invertible linear transformations
- Initial Value Problem into Euler and Runge-Kutta scheme
- What are the possible ways to write an equation in $x=\phi(x)$ form for Iteration method?
- Numerical solution for a two dimensional third order nonlinear differential equation
Related Questions in NEWTON-RAPHSON
- Prove that Newton's Method is invariant under invertible linear transformations
- How to understand what is the asymptotic error constant by the plot? (Newton method)
- newton-raphson method in numerical analysis
- Order of convergence of the Newton-Raphson method
- Proof of convergence of newton method for convex function
- How to approximate $\sqrt[n]{x+y}$ using Newton's method
- Newton method for function $f :\mathbb R^n \to\mathbb R$
- Multivariate Newton-Raphson
- Convergence of ratios of successive terms in Newton's method
- Problem regarding convergence of second order
Related Questions in NUMERICAL-CALCULUS
- Why does $\frac{X}{b}=d_n b^{n-1}+\ldots+ d_1+ \frac{d_0}{b}$ imply $d_0$ is the remainder?
- Solving this double integral numerically
- Scaling differentiation matrices
- Gaussian Quadrature and Error $O(h^4)$
- Approximate the given integral using Gaussian quadrature
- Bisection Method - Number of steps required proof
- Solving a Matrix-Differential equation with e.g. ode45
- Numerical analysis: Three point method
- How to compute this integral over a 2D subspace?
- Determine an interpolation polynomial
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?