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Package matrix-functions
Short Description PHP Library for working with matrices as procedural functions
License MIT
Homepage https://github.com/MarkBaker/PHPMatrixFunctions
Informations about the package matrix-functions
PHPMatrix
PHP Class for handling Matrices
Matrix Transform
This library currently provides the following operations:
- addition
- direct sum
- subtraction
- multiplication
- division (using [A].[B]-1)
- division by
- division into
together with functions for
- adjoint
- antidiagonal
- cofactors
- determinant
- diagonal
- identity
- inverse
- minors
- trace
- transpose
-
solve
Given Matrices A and B, calculate X for A.X = B
and classes for
-
Decomposition
-
LU Decomposition with partial row pivoting,
such that [P].[A] = [L].[U] and [A] = [P]|.[L].[U]
-
QR Decomposition
such that [A] = [Q].[R]
-
TO DO
- power() function
- Decomposition
- Cholesky Decomposition
- EigenValue Decomposition
- EigenValues
- EigenVectors
Installation
(Requires Composer version 2)
Usage
To create a new Matrix object, provide an array as the constructor argument
The Builder
class provides helper methods for creating specific matrices, specifically an identity matrix of a specified size; or a matrix of a specified dimensions, with every cell containing a set value.
Will create a matrix of 5 rows and 3 columns, filled with a 1
in every cell; while
will create a 3x3 identity matrix.
Matrix objects are immutable: whenever you call a method or pass a grid to a function that returns a matrix value, a new Matrix object will be returned, and the original will remain unchanged. This also allows you to chain multiple methods as you would for a fluent interface (as long as they are methods that will return a Matrix result).
Performing Mathematical Operations
To perform mathematical operations with Matrices, you can call the appropriate method against a matrix value, passing other values as arguments
or pass all values to the appropriate function
or statically:
You can pass in the arguments as Matrix objects, or as arrays.
If you want to perform the same operation against multiple values (e.g. to add three or more matrices), then you can pass multiple arguments to any of the operations.
Using functions
When calling any of the available functions for a matrix value, you can either call the relevant method for the Matrix object
or you can call the function as you would in procedural code, passing the Matrix object as an argument
When called procedurally using the function, you can pass in the argument as a Matrix object, or as an array.
As an alternative, it is also possible to call the method directly from the Functions
class.
Used this way, methods must be called statically, and the argument must be the Matrix object or an array.
Decomposition
The library also provides classes for matrix decomposition. You can access these using
or alternatively us the Decomposition
factory, identifying which form of decomposition you want to use