Matrix_< T > Class Template Reference
Detailed Description
template<class T>
class asl::Matrix_< T >
A matrix supporting basic arithmetic operations.
With two predefined specializations: Matrix for doubles and Matrixf for floats.
Matrix A = { // this makes a 2x2 matrix
{ 1, -1 },
{ 2, 3 }
};
Matrix b = { 5, 1 }; // this makes a column matrix (a vector)
You can operate with matrices:
auto C = A.inverse() * A + b * b.transposed();
And you can solve linear systems, even using least-squares, if more equations than unknowns:
Matrix_< T > solve(const Matrix_< T > &A, const Matrix_< T > &b)
Solves the matrix equation A*x=b and returns x; if b is a matrix (not a column) then the equation is ...
Definition: Matrix.h:381
#include <Matrix.h>
Inheritance diagram for Matrix_< T >:
Public Member Functions | |
| Matrix_ (int rows, int cols=1) | |
| Creates a matrix with size rows x cols. | |
| Matrix_ (int rows, int cols, const T &value) | |
| Creates a matrix with size rows x cols and initializes all items with value. | |
| Matrix_ (int rows, int cols, const T *p) | |
| Creates a matrix of rows x cols elements and copies them from the pointer p (row-wise) | |
| Matrix_ (int rows, int cols, std::initializer_list< T > a) | |
| Creates a matrix with size rows x cols and the given elements. | |
| Matrix_ (std::initializer_list< std::initializer_list< T > > a) | |
| Creates a matrix with given list of lists of elements. | |
| Matrix_ (std::initializer_list< T > a) | |
| Creates a column matrix with given list of elements. | |
| T | trace () const |
| Returns the trace of this matrix. | |
| template<class K > | |
| Matrix_< K > | with () const |
| Returns a copy of this matrix with elements converted to the given type. | |
| Matrix_ | clone () const |
| Returns an independent copy of this matrix. | |
| Matrix_ | slice (int i1, int i2, int j1, int j2) const |
| Returns a sub-matrix consisting of a rows [i1, i2) and columns [j1, j2) | |
| Matrix_ | row (int i) const |
| Returns the i-th row. | |
| Matrix_ | col (int j) const |
| Returns the j-th column. | |
| Matrix_ | transposed () const |
| Returns this matrix transposed. | |
| Matrix_ | inverse () const |
| Computes the inverse of this matrix, if it exists; the matrix must be square. | |
| Matrix_ | pseudoinverse () const |
| Computes the pseudoinverse of this matrix. | |
| Matrix_ | operator* (const Matrix_ &b) const |
| Computes the product of this matrix and b. | |
| Matrix_ | transposed (const Matrix_ &b) const |
Computes the product of this matrix transposed and b (same as A.transposed() * B but a bit faster) | |
| Matrix_ | operator+ (const Matrix_ &b) const |
| Computes the sum of this matrix and b. | |
| Matrix_ | operator- (const Matrix_ &b) const |
| Computes the subtraction of this matrix and b. | |
| Matrix_ | operator* (T s) const |
| Computes the product of this matrix by scalar s. | |
| void | operator+= (const Matrix_ &b) |
| Adds a matrix to this. | |
| void | operator-= (const Matrix_ &b) |
| Subtracts a matrix from this. | |
| void | operator*= (T s) |
| Multiplies this matrix by a scalar. | |
| Matrix_ | operator- () const |
| Returns this matrix negated (multiplied by -1) | |
| T | normSq () const |
| Returns the matrix Frobenius norm squared. | |
| T | norm () const |
| Returns the matrix Frobenius norm. | |
 Public Member Functions inherited from Array2< T > | |
| Array2 () | |
| Creates an empty array. | |
| Array2 (int rows, int cols) | |
| Creates an array with size rows x cols. | |
| Array2 (int rows, int cols, const T &value) | |
| Creates an array with size rows x cols and initializes all items with value. | |
| Array2 (int rows, int cols, const T *p) | |
| Creates an array of rows x cols elements and copies them from the pointer p (row-wise) | |
| Array2 (int rows, int cols, std::initializer_list< T > a) | |
| Creates an array with size rows x cols and the given elements. | |
| Array2 (std::initializer_list< std::initializer_list< T > > a) | |
| Creates an array with given list of lists of elements. | |
| template<class K > | |
| Array2< K > | with () const |
| Creates a copy of this array with items converted to type K. | |
| Array< T > & | data () |
| Returns the internal array holding all values (row-major) More... | |
| const Array< T > & | data () const |
| Returns the internal array holding all values (row-major) More... | |
| Array< T > & | array () |
| Returns the internal array holding all values (row-major) | |
| const Array< T > & | array () const |
| Returns the internal array holding all values (row-major) | |
| bool | operator== (const Array2 &b) const |
| Returns true if both arrays are equal. | |
| bool | operator!= (const Array2 &b) const |
| Returns true if both arrays are not equal. | |
| Array2 | clone () const |
| Returns an independent copy of this array. | |
| Array2 | slice (int i1, int i2, int j1, int j2) const |
| Returns a sub-array consisting of a rows [i1, i2) and columns [j1, j2) | |
| Array2 & | resize (int r, int c) |
| Resizes the matrix to r x c. | |
| int | rows () const |
| Returns the number of rows. | |
| int | cols () const |
| Returns the number of columns. | |
| T & | operator() (int i, int j) |
| Returns the item at row i, column j. | |
| void | set (const T &x) |
| Sets all array items to value x. | |
Static Public Member Functions | |
| static Matrix_ | identity (int n) |
| Returns an identity matrix of the given size. | |
The documentation for this class was generated from the following file:
- Matrix.h
