Libraries | |
| Assign | |
| The assignment operator for MathArrayBase<TScalar>. | |
| Cols | |
| returns the number of cols | |
| ExtractDiagonal | |
| extracts the diagonal of the matrix as a vector; needs not to be quadratic | |
| Get | |
| returns matrix element given by nrow,ncol, with asserts; also see coeff() | |
| GramSchmidt | |
| returns the Gram-Schmidt orthogonalized basis of this matrix | |
| Init | |
| sets all elements to zero | |
| IsApprox | |
| returns true if other and this are approx. identical | |
| IsApproxToConstant | |
| returns true if array is constant and approx. equal s | |
| IsDiagonal | |
| returns true if array is a diagonal matrix by precision s | |
| IsIdentity | |
| returns true if array is the identity matrix by precision s | |
| IsLowerTriangular | |
| returns true if array is a lower triangular matrix by precision s | |
| IsScalar | |
| returns true if array is a scalar | |
| IsUnitary | |
| returns true if array is a unitary matrix by precision s (is an orthonormal basis) | |
| IsUpperTriangular | |
| returns true if array is an upper triangular matrix by precision s | |
| IsVector | |
| returns true if array is a vector | |
| IsZero | |
| returns true if array is a zero matrix by precision s | |
| ModDiv | |
| modifies this matrix by the scalar matrix quotient A/s | |
| ModMul | |
| modifies this matrix by the scalar matrix product A*s | |
| Norm | |
| returns the l2-norm of this matrix | |
| operator* | |
| returns the scalar matrix product A*s | |
| operator/ | |
| returns the scalar matrix quotient A/s | |
| Rows | |
| returns the number of rows | |
| Set | |
| sets the value to all components of the object | |
| SetConstant | |
| initializes the matrix with constant values | |
| SetDiagonal | |
| sets the diagonal to 'd'; no square matrix required | |
| SetIdentity | |
| initializes the matrix as identity matrix | |
| SetLinearMap | |
| SetOnes | |
| initializes the matrix with constant values "1" | |
| SetRandom | |
| initializes the matrix with random values | |
| SetZero | |
| initializes the matrix with zeros | |
| Sum | |
| returns the algebraic sum of all elements | |
| Swap | |
| swaps the data pointers of both objects (fastest way to transfer data) | |
| Trace | |
| returns the trace of this matrix | |
| Transpose | |
| returns the transpose | |
| TransposeInPlace | |
| transposes this matrix | |
Libraries | |
| Constant | |
| returns a matrix with constant values | |
| Identity | |
| returns a matrix as identity matrix | |
| Ones | |
| returns a matrix with constant values "1" | |
| Random | |
| returns a matrix with random values | |
| Zero | |
| returns a matrix with zeros | |
The storage scheme is column_major (FORTRAN).
MathArrayBase is a template used by the following object classes:
...
efficiently resizes the matrix to its new dimensions without destroying the contents (no asserts). Internally it creates a copy of the object (nothing if memory is crucial).
returns a matrix consisting of x and this matrix being appended by column. x may be interpreted as a starting set of orthogonal vectors (but are not required to be orthogonal, only independent) The columns which have been appended will be orthogonalized.
modifies this matrix by Gram-Schmidt orthogonalization, whereby only the columns starting at col are considered during orthogonalization.
find the largest element in the array returns the maximum element in the array
| row | will be modified and will contain the row position of the found value on return | |
| col | will be modified and will contain the column position of the found value on return |
find the smallest element in the array returns the minimum element in the array
| row | will be modified and will contain the row position of the found value on return | |
| col | will be modified and will contain the column position of the found value on return |
reads the contents of the buffer x into the array. n must be the dimension of x and equal to the dimension of the array. writes the objects to a file. if the extension is '.bin', then the output format is binary. the file is overwritten if existing.
Rotates all columns of array around an axis defined by omega (length of omega is the angle) centr denotes the origin of the rotation
[Library] |
sorts the entries in the matrix in the specified column and returns the sorted array 'up' specifies if the items shall be sorted in ascending order
1.5.6