GitHub topics: newtons-method
bueler/p4pdes
C and Python examples from my book on using PETSc and Firedrake to solve PDEs
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Samarth4023/Calculus
📚 Calculus - Welcome to the Calculus repository! This collection is designed to help you understand and apply various calculus concepts that are essential for machine learning, data science, and beyond. Whether you are a student, a researcher, or just curious about calculus, you'll find valuable resources here.
Language: Jupyter Notebook - Size: 4.57 MB - Last synced at: 14 days ago - Pushed at: 14 days ago - Stars: 3 - Forks: 0

euler357/sqrt
Answer to C/Linux programming challenge to do a square root and print the result without using ANY c libraries
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iitrabhi/fenics-workshop
Tutorials and exercises for learning to use FEniCS [Website under construction]
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lawrencegranda/function-analyzer-web
Language: JavaScript - Size: 14.3 MB - Last synced at: 20 days ago - Pushed at: 20 days ago - Stars: 0 - Forks: 0

dahyun-kang/newoptpy
Newton’s second-order optimization methods in python
Language: Python - Size: 21.1 MB - Last synced at: 9 days ago - Pushed at: almost 3 years ago - Stars: 4 - Forks: 0

kkoukouletsou/Optimization-Techniques
Assignments for Optimization Techniques Course at ECE AUTH. Includes Steepest Descent, Levenberg-Marquardt and a Genetic Algorithm implementation for Network Traffic Optimization.
Language: MATLAB - Size: 7.61 MB - Last synced at: 17 days ago - Pushed at: 5 months ago - Stars: 2 - Forks: 0

heyjianjing/convex_optimization
Some notes on convex optimization
Language: Jupyter Notebook - Size: 8.71 MB - Last synced at: about 1 month ago - Pushed at: about 1 month ago - Stars: 0 - Forks: 0

ExcessPhase/ctaylor
Dual number classes for automatic differentiation including for higher order derivatives
Language: C++ - Size: 1.14 MB - Last synced at: 11 days ago - Pushed at: 2 months ago - Stars: 1 - Forks: 0

ltatzel/PyTorchHessianFree
PyTorch implementation of the Hessian-free optimizer
Language: Python - Size: 161 KB - Last synced at: 20 days ago - Pushed at: 10 months ago - Stars: 34 - Forks: 6

osveliz/numerical-veliz
Numerical Analysis code from the Oscar Veliz YouTube Channel
Language: Python - Size: 163 MB - Last synced at: 2 months ago - Pushed at: 2 months ago - Stars: 145 - Forks: 22

jchristopherson/nonlin
A library that provides routines to compute the solutions to systems of nonlinear equations.
Language: Fortran - Size: 3.47 MB - Last synced at: about 2 months ago - Pushed at: 3 months ago - Stars: 27 - Forks: 3

fritzwill/root-finding-methods
Utilizing root-finding methods such as Bisection Method, Fixed-Point Method, Secant Method, and Newton's Method to solve for the roots of functions
Language: Python - Size: 8.79 KB - Last synced at: 2 months ago - Pushed at: 2 months ago - Stars: 12 - Forks: 5

chakravala/Fatou.jl
Fatou sets in Julia (Fractals, Newton basins, Mandelbrot)
Language: Julia - Size: 4.96 MB - Last synced at: 9 days ago - Pushed at: about 1 year ago - Stars: 116 - Forks: 15

dscamiss/generalized-newtons-method
PyTorch implementation of the generalized Newton's method for learning rate selection
Language: Python - Size: 5 MB - Last synced at: about 2 months ago - Pushed at: 2 months ago - Stars: 0 - Forks: 0

kkoukouletsou/Numerical-Analysis-Project
Assignments for Numerical Analysis Course at ECE AUTH
Language: Jupyter Notebook - Size: 840 KB - Last synced at: 17 days ago - Pushed at: 5 months ago - Stars: 0 - Forks: 0

iMD10/MATH317-Numerical-Methods
A collection of Python implementations of numerical methods based on the pseudocodes from MATH317 lectures, including Bisection, Horner's method, Complete Horner's method, Newton's method, and Polynomial evaluation techniques.
Language: Python - Size: 22.5 KB - Last synced at: 8 days ago - Pushed at: 5 months ago - Stars: 3 - Forks: 0

fxrshed/root-newton
Language: Jupyter Notebook - Size: 3.87 MB - Last synced at: 3 months ago - Pushed at: 3 months ago - Stars: 1 - Forks: 0

SisyphusRex/Yield2Maturity
Apply Newton's Method of Approximation to the Yield to Maturity for Bonds formula
Language: Python - Size: 75.2 KB - Last synced at: 3 months ago - Pushed at: 3 months ago - Stars: 0 - Forks: 0

nlacey111/Numerical-Analysis
Including work from undergrad and graduate numerical analysis I and II.
Language: Jupyter Notebook - Size: 273 KB - Last synced at: about 1 month ago - Pushed at: 4 months ago - Stars: 0 - Forks: 0

petermchale/math105A
Numerical analysis course in Python
Language: Jupyter Notebook - Size: 102 MB - Last synced at: 4 months ago - Pushed at: 4 months ago - Stars: 22 - Forks: 19

The-Mastermind1/algo_4
Language: C++ - Size: 17.6 KB - Last synced at: about 1 month ago - Pushed at: 6 months ago - Stars: 1 - Forks: 0

The-Mastermind1/algo_3
Language: C++ - Size: 15.6 KB - Last synced at: about 1 month ago - Pushed at: 6 months ago - Stars: 1 - Forks: 0

The-Mastermind1/algo_2
Language: C++ - Size: 17.6 KB - Last synced at: about 1 month ago - Pushed at: 6 months ago - Stars: 1 - Forks: 0

The-Mastermind1/algo_1
Language: C++ - Size: 16.6 KB - Last synced at: about 1 month ago - Pushed at: 6 months ago - Stars: 1 - Forks: 0

saa-97/Optimal-Control-of-a-Quadrotor-with-Suspended-Load
This project was developed for the final examination of the course Optimal Control for the Master's degree in Automation Engineering at the University of Bologna.
Language: Python - Size: 45.9 KB - Last synced at: 5 months ago - Pushed at: 5 months ago - Stars: 0 - Forks: 0

ftrifoglio/math-for-ml
Notes from Mathematics for Machine Learning and Data Science Specialization
Language: Jupyter Notebook - Size: 99.6 MB - Last synced at: 6 months ago - Pushed at: 6 months ago - Stars: 2 - Forks: 1

cvanaret/nonconvex_solver_comparison
This repo collects results of nonlinear optimization solvers on standard benchmark problems
Size: 22.7 MB - Last synced at: about 1 month ago - Pushed at: 12 months ago - Stars: 7 - Forks: 0

s-baumann/MultivariateFunctions.jl
A framework for multivariate functions together with constructors for schumaker splines, OLS, Chebyshev, MARS splines for approximation.
Language: Julia - Size: 258 KB - Last synced at: 11 months ago - Pushed at: 11 months ago - Stars: 5 - Forks: 1

EduardBargues/NonLinearEquationsSolver
This repository aim to provide with an easy-to-use library to solve non-linear systems of equations.
Language: C# - Size: 973 KB - Last synced at: about 14 hours ago - Pushed at: almost 3 years ago - Stars: 25 - Forks: 8

hidiryuzuguzel/newton-root-finding-algorithm
Root finding software for general third degree polynomials using Newton's method
Language: C - Size: 3.91 KB - Last synced at: 10 months ago - Pushed at: over 5 years ago - Stars: 1 - Forks: 0

hanyas/second-order-smoothers
Second-order iterated smoothing algorithms for state estimation
Language: Python - Size: 23.4 MB - Last synced at: 6 months ago - Pushed at: 11 months ago - Stars: 5 - Forks: 0

OnurArdaB/Numerical-Analysis-Root-Finding-Methods
Language: MATLAB - Size: 6.84 KB - Last synced at: 11 months ago - Pushed at: over 4 years ago - Stars: 0 - Forks: 0

Udrasht/OM-Assignment-1
This repo contain implementation of Steepest Descent algorithm using inexact line search and Newton's method on Functions like Tried Function, Three Hump Camel, Styblinski-Tang Function, Rosenbrock Function, etc.
Language: Python - Size: 28.9 MB - Last synced at: 11 months ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

Shamrat777/Newton-Raphson-Method
Language: Java - Size: 17.6 KB - Last synced at: 12 months ago - Pushed at: about 7 years ago - Stars: 0 - Forks: 1

jangel347/numeric_methods
Métodos numéricos con python(Numpy, matplotlib, pandas)
Language: Python - Size: 21.5 KB - Last synced at: 12 months ago - Pushed at: 12 months ago - Stars: 0 - Forks: 0

ianyang0106/Weber-Davis-Wind-Model
Weber&Davis wind solution
Size: 2.16 MB - Last synced at: 12 months ago - Pushed at: 12 months ago - Stars: 1 - Forks: 0

BarbulescuMihai/PyTES
Python Transcendental Equation Solvers
Language: Python - Size: 68.4 KB - Last synced at: about 1 year ago - Pushed at: over 6 years ago - Stars: 1 - Forks: 1

without-eyes/Newton
C++ implementation of the Newton method
Language: C++ - Size: 1000 Bytes - Last synced at: about 2 months ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

alessandropier/Calcolo-Numerico-21-22
Language: MATLAB - Size: 196 KB - Last synced at: about 1 year ago - Pushed at: about 3 years ago - Stars: 1 - Forks: 0

lucianobajr/MAF-271
:infinity: numerical calculation
Language: Jupyter Notebook - Size: 65.4 KB - Last synced at: 16 days ago - Pushed at: over 2 years ago - Stars: 1 - Forks: 0

dreamchef/numerical-analysis-methods
Collection of methods for numerical analysis and scientific computing, including numerical root-finders, numerical integration, linear algebra, and data visualization. Created for APPM4600 at CU Boulder.
Language: Jupyter Notebook - Size: 8.21 MB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 3 - Forks: 1

ignabelitzky/roots-of-equations
Implementation and usage of numerical root-finding algorithms.
Language: Python - Size: 38.1 KB - Last synced at: about 2 months ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

rsm-13/nonlinear-dynamics
Exploring Chaos Theory and Nonlinear Equations via Graphical Interfaces
Language: Python - Size: 3.2 MB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

fra99le/fnt
Numerical Toolbox
Language: C - Size: 342 KB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

Mohamed-489560/Newton_Method
C++ program to solve Newton Method
Size: 1.95 KB - Last synced at: about 1 year ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0

jonnykl/NewtonsMethodCalculator
Newton's method calculator with a GUI visualizing the steps of the algorithm
Language: Java - Size: 2.73 MB - Last synced at: about 1 year ago - Pushed at: about 6 years ago - Stars: 0 - Forks: 0

AdrienTaylor/Performance-Estimation-Problems-For-Newton
Code for symbolic validations of the PEP-based proofs for the article " Worst-case convergence analysis of gradient and Newton methods through semidefinite programming performance estimation" authored by E. de Klerk, F. Glineur and A. Taylor
Language: MATLAB - Size: 6.84 KB - Last synced at: about 1 year ago - Pushed at: over 4 years ago - Stars: 3 - Forks: 0

rickfu415/heatConduction
A 1D heat conduction solver using Finite Difference Method and implicit backward Euler time scheme
Language: Jupyter Notebook - Size: 121 KB - Last synced at: about 1 year ago - Pushed at: over 5 years ago - Stars: 16 - Forks: 9

RuslanZanevskiy/newtons_method
Realization of Newton's method in python
Language: Python - Size: 5.86 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 1 - Forks: 0

MaksymAndreiev/DecisionSupportSystemsCourse
Workshop on the course "Computer decision support systems" at V. N. Karazin Kharkiv National University
Language: Python - Size: 179 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

bchaoss/Numerical-Optimization
Numerical optimization algorithms with examples in Python.
Language: Jupyter Notebook - Size: 3.9 MB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 1 - Forks: 0

mxmayerr/nonlinear-dynamics
Repository for my Nonlinear Dynamics files
Language: Python - Size: 131 KB - Last synced at: over 1 year ago - Pushed at: about 2 years ago - Stars: 3 - Forks: 0

madisongarccia/MATH215
Computational Linear Algebra - Python
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Nikolay1998/numerical-root-finding-algorithms
Root-finding algorithms implementation. 2019.
Language: Java - Size: 279 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

Backgammonian/Roots-Finder
WPF app for finding and visualizing the root values of non-linear math functions
Language: C# - Size: 66.4 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

bkb3/Newton-Raphson-method-in-C
We use Newton-Raphson method to find zeroes of an equation.
Language: C - Size: 31.3 KB - Last synced at: over 1 year ago - Pushed at: over 7 years ago - Stars: 5 - Forks: 1

clarkzinzow/Nonlinear-Optimization-Algorithms
MATLAB implementations of a variety of nonlinear programming algorithms.
Language: MATLAB - Size: 30.3 KB - Last synced at: over 1 year ago - Pushed at: over 4 years ago - Stars: 133 - Forks: 41

hiroyuki-kasai/SGDLibrary
MATLAB/Octave library for stochastic optimization algorithms: Version 1.0.20
Language: MATLAB - Size: 31.3 MB - Last synced at: over 1 year ago - Pushed at: almost 2 years ago - Stars: 194 - Forks: 87

tamaskis/newtons_method_n-MATLAB
Newton's method for finding the root of a differentiable, multivariate, vector-valued function.
Language: MATLAB - Size: 938 KB - Last synced at: over 1 year ago - Pushed at: over 2 years ago - Stars: 3 - Forks: 0

amirHosseinEz/Numerical-Analysis
This is a Numerical Analysis course project, implementing numerical analysis methods.
Language: MATLAB - Size: 0 Bytes - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

tsmith023/rusty-rootsearch
A WIP library for performing multi-root searching of one-dimensional transcendental equations using auto-differentiation in Rust
Language: Rust - Size: 16.6 KB - Last synced at: 21 days ago - Pushed at: about 1 year ago - Stars: 1 - Forks: 0

tamaskis/Root_Finding_Toolbox-MATLAB
Root-finding methods for both univariate, scalar-valued functions and multivariate, vector-valued functions.
Language: HTML - Size: 3.81 MB - Last synced at: about 1 year ago - Pushed at: almost 2 years ago - Stars: 1 - Forks: 0

Pongpang-2102/Numerical-Computation-and-Optimization-Models_KDAI-Project
This Repository stores any Project & Assignment from Course : Numerical Computation & Optimization Models from KDAI Curriculum
Language: Jupyter Notebook - Size: 6.18 MB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

Paulnkk/Nonlinear-Optimization-Algorithms
Implementation of nonlinear Optimization Algorithms in Python
Language: Python - Size: 8.79 KB - Last synced at: almost 2 years ago - Pushed at: about 3 years ago - Stars: 4 - Forks: 1

tA-bot-git/python-logisticReg
Language: Jupyter Notebook - Size: 10.6 MB - Last synced at: about 1 month ago - Pushed at: over 6 years ago - Stars: 1 - Forks: 0

maristie/robotic-arm-simulation
Simulate a multi-segment robotic arm.
Language: Python - Size: 581 KB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

chrizbee/NewtonFractal
Qt application to visualize newton fractals
Language: C++ - Size: 16.1 MB - Last synced at: about 2 years ago - Pushed at: about 2 years ago - Stars: 23 - Forks: 6

gabrielmazz/interpolador_newton
Este código usa o método de Interpolação de Newton para gerar um polinômio que aproxime uma função dada pelos pontos
Language: Jupyter Notebook - Size: 3.91 KB - Last synced at: over 1 year ago - Pushed at: about 2 years ago - Stars: 0 - Forks: 0

sayarghoshroy/COVID-19_Modelling_for_India
Modelling the Coronavirus Statistics for India using the SIR Model
Language: Jupyter Notebook - Size: 6.58 MB - Last synced at: about 2 years ago - Pushed at: over 4 years ago - Stars: 2 - Forks: 2

brugr9/nummeth 📦
Programmierung TI-89: Numerische Methoden zur Approximation und Integration
Size: 1.86 MB - Last synced at: about 2 years ago - Pushed at: almost 3 years ago - Stars: 1 - Forks: 1

adammaj1/Mandelbrot-set-topology
Mandelbrot set topology
Language: C - Size: 768 KB - Last synced at: about 1 year ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

divyanshu-talwar/Numerical-Methods
Implementation of well-known numerical methods.
Language: Python - Size: 37.1 KB - Last synced at: about 2 years ago - Pushed at: over 3 years ago - Stars: 9 - Forks: 3

stevenktruong/numerical-methods-python
A repository containing implementations of various numerical methods written in Python
Language: Python - Size: 6.84 KB - Last synced at: about 2 years ago - Pushed at: over 6 years ago - Stars: 2 - Forks: 1

oseasandrepro/NumericalAnalysis
Implementation of the basics Algorithms on Numerical Analysis
Language: C - Size: 2.19 MB - Last synced at: 2 months ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

ELC/interactive-optimization
Index of different Optimization Methods
Language: JavaScript - Size: 382 KB - Last synced at: 19 days ago - Pushed at: over 2 years ago - Stars: 7 - Forks: 2

mkierzenka/Racket_NumericalMethods
A collection of Numerical Methods implemented in Racket. Includes Root Finders, ODE Solvers, Linear System Solvers, etc. as well as Applications/Demos.
Language: Racket - Size: 52.7 KB - Last synced at: 12 months ago - Pushed at: over 7 years ago - Stars: 1 - Forks: 1

Quelich/algomodel
The implementation of advanced mathematical optimization methods
Language: MATLAB - Size: 1.18 MB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

RockfordWei/NewtonRaphson
A Swift Library for Newton Raphson Method
Language: Swift - Size: 7.81 KB - Last synced at: about 2 months ago - Pushed at: over 2 years ago - Stars: 1 - Forks: 1

dannyphandannyphan/newtons-method
Interactive Jupyter notebook of how Newton's method can be used to find solutions for functions.
Language: Jupyter Notebook - Size: 233 KB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

mell-o-tron/PyNewton
A crappy visualization of Newton's method
Language: Python - Size: 70.3 KB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 2 - Forks: 0

corinnastrada/functions_optimisation
Analytical and Numerical Approximation of functions
Language: Jupyter Notebook - Size: 311 KB - Last synced at: almost 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

as1mple/numerical_methods
This repository implements the basic numerical methods for solving nonlinear equations. All of them are presented in one console program, which is easy to use. The output of the program is both real and complex numbers.
Language: Python - Size: 10.7 KB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

arielcedola/Drift-diffusion-device-simulation
Pyhton algorithm for numerical simulation of heterostructure devices
Language: Python - Size: 1.01 MB - Last synced at: about 2 years ago - Pushed at: almost 7 years ago - Stars: 4 - Forks: 2

a1k0u/my-numerical-analysis
🎓 My university course in numerical analysis from Fedor Sergeevich Peplin. Here you can find some implemented algorithms from this subject with a brief description.
Language: Python - Size: 2.27 MB - Last synced at: about 2 years ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

justinlubin/newton-js
A Newton fractal generator written in JavaScript
Language: JavaScript - Size: 2.93 KB - Last synced at: 4 days ago - Pushed at: over 9 years ago - Stars: 0 - Forks: 0

aliizadi/advanced-optimization-course
assignments and projects of advanced optimization course
Language: Jupyter Notebook - Size: 4.25 MB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

BlackfyreInc/ComplexRootFinder
Several methods for root finding of polynomials (both real and complex roots)
Language: C++ - Size: 23.4 KB - Last synced at: almost 2 years ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

remullo/Computational-Mathematical-Modeling-Projects-for-Scientific-Approaches
This repository is focused in some mathematical modeling techniques, such as, such as Newton`s root method, Bolzano theorem and false-position algorithm.
Language: Scilab - Size: 17.6 KB - Last synced at: about 2 years ago - Pushed at: over 3 years ago - Stars: 2 - Forks: 0

DiegoRosas12/numerical_Methods_in_C
Language: C - Size: 29.3 KB - Last synced at: about 2 years ago - Pushed at: over 6 years ago - Stars: 1 - Forks: 0

tamaskis/newtons_method-MATLAB
Newton's method for finding the root of a differentiable, univariate, scalar-valued function.
Language: MATLAB - Size: 3.08 MB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

HadiElnemr/Numerics-codes
Some Numerical Analysis algorithms implemented in Python.
Language: Python - Size: 7.81 KB - Last synced at: about 2 years ago - Pushed at: almost 4 years ago - Stars: 5 - Forks: 0

mlazaric/Newt
Python script for visualising the basins of attraction of Newton's method.
Language: Python - Size: 12.7 KB - Last synced at: 12 days ago - Pushed at: over 6 years ago - Stars: 5 - Forks: 2

Songyosk/MNLL2ELDM
Minimisation of a negative log likelihood fit to extract the lifetime of the D^0 meson (MNLL2ELDM)
Language: Python - Size: 2.39 MB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 1 - Forks: 0

0dm/newtons-method
lazy implementation of newton's method in python
Language: Python - Size: 4.88 KB - Last synced at: about 2 years ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0

JaiJaveria/Machine_Learning
Implementation of Machine Learning Models and algorithms like linear and logistic regression, GDA, Naive Bayes
Language: Jupyter Notebook - Size: 28.4 MB - Last synced at: about 2 years ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0

fusion809/LRT-normal-nonconst-var
Likelihood-ratio test for normally distributed populations with non-constant variance. Essentially a LRT equivalent to Welch's ANOVA. Documented in LaTeX, implemented in Python.
Language: TeX - Size: 1.73 MB - Last synced at: about 1 month ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0

Tzesh/Approximator
Approximator is a basic Python program that approximates the y value according to given data (x and y values) with respect to x. Approximator uses Direct Method of Polynomial Interpolation, Lagrange Polynomial Interpolation, and Newton's Divided Difference Polynomial Interpolation.
Language: Python - Size: 11.7 KB - Last synced at: about 2 years ago - Pushed at: almost 4 years ago - Stars: 0 - Forks: 0

jvirico/optimization-methods
Different exercises for finding extremas of a function, approximating roots, finding a minimizer, for univariate and multivariate problems.
Language: Python - Size: 3.91 KB - Last synced at: almost 2 years ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0

YashIITM/Root-Finding-Algorithms
The behaviour of general root-finding algorithms is studied in numerical analysis. How-ever, for polynomials, root-finding study belongs generally to computer algebra, sincealgebraic properties of polynomials are fundamental for the most efficient algorithms. The efficiency of an algorithm may depend dramatically on the characteristics of the given functions. For example, many algorithms use the derivative of the input function,while others work on every continuous function. In general, numerical algorithms are not guaranteed to find all the roots of a function, so failing to find a root does not prove that there is no root. However, for polynomials, there are specific algorithms that use algebraic properties for certifying that no root is missed, and locating the roots in separate intervals(or disks for complex roots) that are small enough to ensure the convergence of numerical methods (typically Newton’s method) to the unique root so located.
Language: TeX - Size: 942 KB - Last synced at: almost 2 years ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0
