Optimization Archives - MATLAB Apps

Supercharged Nonlinear Problem Solver: Trust-Region and Levenberg-Marquardt Algorithms Unleashed!

admin — Wed, 09 Aug 2023 10:52:16 +0000

Welcome to our website dedicated to MATLAB applications. Here, we proudly present the ultimate mathematical tool for solving 1-dimensional nonlinear equations with unparalleled ease and efficiency.

In the exciting video, presented above, we introduce you to our advanced MATLAB AppDesigner application, “Nonlinear Problem Solver Pro,” designed specifically for mathematicians, scientists, and engineers seeking to conquer complex mathematical challenges.

Building upon the success of our previous basic version, can be found [MATLAB-Apps ], we have turbocharged the capabilities of our app, empowering you with a wide range of features to tackle even the toughest nonlinear problems. Gone are the days of manual calculations and lengthy iterations; our professional app harnesses the power of cutting-edge algorithms to deliver lightning-fast solutions.

With “Nonlinear Problem Solver Pro,” you are in control of your problem-solving journey like never before. Let us walk you through the remarkable features that set this app apart:

Algorithm Selection: Choose from three powerful algorithms, including the renowned Trust-Region Method (TRM), the versatile Trust-Region-Dogleg (TRD), and the robust Levenberg-Marquardt (LM) algorithm. Tailor your approach to each unique problem with ease.
Customizable Parameters: Define the maximum number of iterations and function evaluations (NFE) to strike the perfect balance between accuracy and efficiency. Fine-tune your solution by setting function tolerance, optimality tolerance, and step tolerance to achieve the desired precision.
Comprehensive Results: Delve into a wealth of information displayed in real-time on our intuitive interface. Explore various result types, including the solution point and its fitness, giving you a deep understanding of your equation’s behavior.
Dynamic Plots: Visualize your progress with a range of dynamic plots, unveiling crucial insights at every step. Trace the current point, function count, function value, step-size, and first-order optimality measure, empowering you to gain valuable visual feedback.

But that’s not all! We understand the importance of personalization, so we’ve added further enhancements to our app:

Font Size and Color: Customize the appearance of your final results to suit your preferences. Tailor the font size and color to create a visually pleasing and engaging experience.

In the video, attached above, we showcase the sheer power of “Nonlinear Problem Solver Pro” by tackling challenging equations that will leave you astounded. Witness firsthand how effortlessly and rapidly our app conquers these intricate problems, delivering precise solutions at every turn.

Please note that this video focuses on demonstrating the app’s functionality and its ability to solve complex equations, rather than the development process. To get your hands on this mathematical powerhouse, simply follow the links provided in the description box below to download the project.

Embrace the future of nonlinear problem-solving with “Nonlinear Problem Solver Pro” and unleash your mathematical prowess like never before. Don’t miss out on this highly advanced tool – join us on this exhilarating journey today!

MATLAB App Installer (closed source):

Download

Full MATLAB Project (open source):

Download

The post Supercharged Nonlinear Problem Solver: Trust-Region and Levenberg-Marquardt Algorithms Unleashed! appeared first on MATLAB Apps.

Newton-Raphson Root Finding Method: Simplify Complex 1-Dimensional Equation Solving (Full MATLAB Project)

admin — Thu, 03 Aug 2023 11:55:31 +0000

Are you tired of grappling with complex equations that seem impossible to solve? Look no further than this video, where we present the Newton-Raphson root finding method, a powerful tool for solving one-dimensional problems, whether they are linear or nonlinear.

Our intuitive and user-friendly app is designed to make the process of finding roots as simple as possible. The app can find the derivative and perform all the necessary iterations starting from the initial guess defined by the user. It is capable of solving equations with real, imaginary, or even complex roots, making it a versatile solution for a wide range of problems.

One of the standout features of our app is the controllable early stopping criterion, which allows the user to terminate the iteration process once the absolute error is within the minimum acceptable range, or “tolerance”. This helps save time and ensures that the solution is accurate to the desired level.

The app also provides full information on each iteration step, including the iteration number, old and new values of the independent variable “x”, the values of the dependent variable “f(x)” and its derivative “df/dx”, and finally the absolute error. This information can be exported as Excel sheets in a variety of formats, including .xls, .xlsx, .xlsb, .xlsm, or .csv.

Our video showcases the app in action, demonstrating just how easy it is to use. We walk you through each step of the process, from entering the equation and initial guess to exporting the results. The app is highly customizable, allowing you to enter the starting point, adjust the early stopping criterion, choose the export format, and even abort the iteration process at any time.

This video is the perfect introduction to the Newton-Raphson root finding method and our powerful, user-friendly app. Whether you’re a student struggling with complex equations or a professional looking for a more efficient solution, our app is sure to make your life easier. Download the project from the links provided in the description box and start solving equations with ease today!

MATLAB App Installer (closed source):

Download

Full MATLAB Project (open source):

Download

The post Newton-Raphson Root Finding Method: Simplify Complex 1-Dimensional Equation Solving (Full MATLAB Project) appeared first on MATLAB Apps.

Effortlessly Solve Nonlinear Equations with our Trust-Region Method (TRM) Solver App

admin — Mon, 31 Jul 2023 14:13:46 +0000

Are you tired of spending countless hours trying to solve nonlinear equations? Do you want an easy-to-use application that can solve your equations in milliseconds? Look no further than our trust-region method solver app!

Our app is designed to make solving nonlinear equations a breeze, even for those with zero programming experience. You can enter your equation in a symbolic way and solve it at any starting point, with the solution displayed in milliseconds. And if you want to investigate more starting points, our app will display the location of all the solution points.

But that’s not all – our app also includes a plotting facility that shows the curve of the entered equation and the location of the solution point. You can customize the function curve, the solution points, and the reference line at y=0 to your liking. And if the solution point is beyond the domain or the lower and upper bounds of the independent variable, the plot can be expanded to accommodate it.

Our app also includes a message box that interacts with the user, letting them know if the solution is solvable or not, and if not, providing guidance on how to tackle the issue.

Using many useful tricks, our trust-region method (TRM) solver app is an advanced tool for solving nonlinear equations. Download the project from the link, given below, and see for yourself how easy it can be to solve nonlinear equations!

Full MATLAB Project (open source):

The post Effortlessly Solve Nonlinear Equations with our Trust-Region Method (TRM) Solver App appeared first on MATLAB Apps.