MATLAB Implementation of Linear Equations with Numerical Algorithms
MATLAB implementations of numerical algorithms including linear equations, nonlinear equations, least squares fitting, and related computational methods.
Solving Nonlinear Equation Systems Using Simulated Annealing Algorithm
MATLAB implementation of simulated annealing algorithm for solving nonlinear equation systems with code structure and parameter optimization details
Satellite Pseudorange Positioning with MATLAB Implementation
Implementing GPS positioning using MATLAB through pseudorange measurements, where different measurement approaches lead to distinct positioning methods. Under ideal error-free conditions, MATLAB can transform the positioning problem into a nonlinear equation system solution, typically solved using algorithms like least squares or Newton-Raphson methods.
Immune Algorithm for Solving Nonlinear Equation Systems in MATLAB
MATLAB source code implementing immune algorithm for solving nonlinear equation systems, featuring efficient optimization with practical application examples
Solving Nonlinear Equations Using Genetic Algorithms
Genetic Algorithm Implementation for Nonlinear Equation Systems - Extensive development effort with detailed code explanations to assist researchers
Finding a Root of Nonlinear Equations Using Fixed-Point Iteration Method
mulStablePoint - Finds a root of nonlinear equations using fixed-point iteration method; mulNewton - Uses Newton's method to find a root of nonlinear equations; mulDiscNewton - Applies discrete Newton's method to find a root of nonlinear equations; mulMix - Employs Newton-Jacobi iteration method to find a root of nonlinear equations; mulNewtonSOR - Utilizes Newton-SOR iteration method to find a root of nonlinear equations; mulDNewton - Implements Newton's descent method to find a root of nonlinear equations; mulGXF1 - Applies the first form of two-point secant method to find a root of nonlinear equations; mulGXF2 - Uses the second form of two-point secant method to find a root of nonlinear equations
Finding All Solutions of Nonlinear Equations Using Homotopy Methods
Homotopy methods for locating all solutions of nonlinear equations - a custom implementation with excellent usability and reliability
Solving Nonlinear Equations Using Newton's Iteration Method with MATLAB Implementation
MATLAB source code for solving nonlinear equations using Newton's iteration method, featuring matrix derivative calculations and convergence visualization techniques
MATLAB Source Code for Solving Nonlinear Equations Using fsolve Function
Solving equation systems using MATLAB with implementation examples and algorithm explanations
Newton's Method for Solving Nonlinear Equations
An iterative scheme constructed using Taylor expansion of f(x)=0, approximating the curve with linear segments where implementation requires calculating Jacobian matrices and solving linear systems at each iteration