Least Squares Curve Fit vs. Matrix-Analysis Utilizzo e statistiche
“Least Squares Curve Fit” is a user friendly, free of charge and free of ads app.
User inputs point sets and chooses function types.
Utilizing the Least Squares Linear Regression Method, the app calculates best fit curves, reports equations and draws graphs.
Point sets can be stored in a table and are available after app is closed.
Currently available function types are:
2D:
1. Line.
2. Parabola.
3. Polynomial up to 8th degree.
4. Circle.
5. Conic section (Ellipse or Hyperbola).
6. Trigonometric function as
C + A1*cos(ω*x) + B1*sin(ω*x) + … + An*cos(n*ω*x) + Bn*sin(n*ω*x),
where user can select n between 1 and 8 and enter any ω.
7. Exponential Function.
8. Bell Curve.
3D:
1. Plane.
2. Sphere.
Also, there is an option to choose the Best Fit:
the app goes through all the possible shapes and lists them in order from best to worst fit based on residuals.
In some cases, when the standard Least Squares method with orthogonal projection does not work, best fit for Line, Parabola, Polynomial and Trigonometric functions can be calculated with SVD.
Links to four other free apps by same developers are included in the app:
1. “Matrix Solver Step by Step” Linear Algebra Visual Guide.
2. “Polynomials and Linear Systems” Equation Solver.
3. “GraphMath” Graphing Calculator.
4. “Vectors and Planes” (and Spheres and Ellipsoids) 3D Geometry Guide.
Developers hope to get feedback from users at graphmath@aol.com.
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The MatrixAnalysis is carefully designed to be a simple and elegant app.
This app has tools to help you analyze matrices like finding eigenvalues and eigenvectors, diagonalization, QR, SLU, LU factorization.
This app can also be used to do matrix operations like, finding inverse, determinant, dot product, cross product, and much more.
You can also do elementwise operations and scalar operations.
Want to do fast fourier transform (FFT) or inverse fourier transform (IFFT), this app is capable of IFFT
Want to find an pseudo inverse of a non-square matrix, this app has you covered
Want to know a rotation matrix for a given angle or rotate a vector by the given angle? This app has you covered.
The expressions and the solutions are displayed in beautiful mathematical way.
Once the expressions are solved, a beautifully written solutions are created that you can share with other or save it locally.
It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost.
There is also a Study page to help you with learning some important matrix vector formulas and some useful technique.
This is an app for all student groups. From high school to college to university students.
Be creative. Enjoy the app!
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Least Squares Curve Fit VS. 
Matrix-Analysis17icembre d, 2024