Matrix Numerics is a powerful Numerical Linear Algebra app with a simple and user-friendly interface. It is designed to quickly present you Linear Algebra results involving matrices and vectors with the fewest taps possible. Matrix Numerics uses the SwiftLAN engine to approximate solutions to a linear system of equations, compute matrix decompositions and calculate vector dynamics. SwiftLAN is a powerful Linear Algebra framework developed by academics for the purpose of native Scientific Computation and Modeling in Swift. Its State-of-the-art Numerical algorithms take advantage of the expressiveness and lightning speed of the Swift programming language to deliver powerful performance and accuracy. Each algorithm in the framework is extensively researched, developed and debugged following closely the mathematical literature of authors like G. Golub, D.S Watkins, J.G.F Francis, C. Van Loan and many others. After development, all algorithms are written 100% in Swift and are intensively tested for speed and accuracy against MATLAB, Accelerate and the LAPACK++ library in C++. All of these aspects make Matrix Numerics a world class tool for scientists, students or any other person exposed to Linear Algebra no matter how early are they in their scientific/mathematical carries. These are some of the things you can do on Matrix Numerics:
* Add, subtract, multiply matrices.
* Condition Number
* Spectral Radius
* Characteristic Polynomial
* Eigenvalues & Eigenvectors
* Singular Values
* Singular Value Decomposition
* PLU Decomposition
* Cholesky Decomposition
* Gram-Schmidt Decomposition
* QR Decomposition
* Upper Hessenberg Decomposition
* Real Schur Form Decomposition
* Norms 1,2,Infinity and Frobenius.
* Fundamental Subspaces
When dealing with Vectors, Matrix Numerics can help you compute:
* Inner Product
* Cross Product
* Projection Vector
* Correlation between vectors
* Angle between vectors
* Vector Length
* Vector Normalization
* Vector Orthonormalization
You can also approximate solutions to Linear System of Equations and Linear Least Squares using the algorithm that best fits your system:
* Ordinary Least Squares
* Iteratively Reweighted Least Squares
* Pseudoinverse by SVD
* Kaczmarz’s Algorithm
* PLU with Scaled Row Pivoting
* Successive Over Relaxation
* Conjugate Gradient
* Gauss-Seidel Iteration
* Jacobi Iteration
Identify specific attributes of your System/Matrix with a single touch:
* Is it Singular?
* Is it Symmetric?
* Is it Positive Definitive?
* Is it Diagonal?
* Is it Upper or Lower Diagonal or both?
* Is it Orthogonal?
* Is it Convergent?
* Is it Row or Column Diagonally Dominant or both?
Numerical results and notations are beautifully rendered in a LaTeX-like style supporting both decimal and rational modes. All matrix computations are preformed in-device on the powerful A-Series Apple chips which means you can use Matrix Numerics everywhere and anywhere with no internet connection required!! Matrix Numerics works on iPhone 6 or newer and all iPads except mini.
Special thanks to J. Dominguez, L. Meza & L. Smith.
+ You can now take a photo or use an image from your library to input matrix data (Early Beta).
+ Bug fixes and enhancements.
+ No internet connection required.
Ratings and Reviews
GORGEOUS 🤩 and sophisticated 🧐
This app takes something that makes most people’s eyes gloss over when they look at it -math- and makes it beautiful. I’m talking Día de los Muertos colorful festival explosion of color and its MATRIX MATH. Some of the hardest math around. I realize how much I don’t know when I look through all of the things this app can do, that I wouldn’t even know where to begin with. Wish I had this during high school I might have given more of a **** about higher level math.
This Must Be Awesome
This has to be a fantastic app for this kind of thing because I have no clue what any of it means or does. If I somehow, someday, I find myself in a place in time where I understand and can use this calculator, then I most likely won’t even need it, as by then the Xylomurphs will have made contact and gifted us with the technology for quantum cerebral nano implants.
Interestingly, my future self just appeared and informed me that this is indeed a fantastic calculator and works as advertised.
He also said, when asked, do not eat the Splorb. Then he said it again, “Remember, do not eat the Splorb.”
Then he vanished.
I’m going to go ponder all of this.
Great work on the super math calculator.
First look excellent
This has only one deficiency. It would be nice if the results of an operation could be saved to use in a following operation. For example, say you calculate the Inverse of a matrix, then multiply that by a second matrix without copying and re-entering the inverse.
UPDATE: The developer sent me an answer to the review. The matrix operations mentioned above and more are on the way. When they arrive, I will update this review again. If they perform as well as expected, this would then be a five-star app.
Developer Response ,
Dear MxN user,
Thank you for your feedback. Saving matrices and using them for other operations is an imminent feature. Expect an update with this and other enhancements very soon! Thank you for using Matrix Numerics!
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- Horacio Sanchez
- 25.4 MB
- Requires iOS 14.0 or later.
- Requires iPadOS 14.0 or later.
- iPod touch
- Requires iOS 14.0 or later.
- Requires macOS 11.0 or later and a Mac with Apple M1 chip.
English, Simplified Chinese, Spanish, Traditional Chinese
- Age Rating
- © 2021 Horacio A. Sanchez
- In-App Purchases
- Scripts $1.99
- Memory $0.99