TMtx object
All listed functions support: real and complex numbers (where appropriate). Most functions are overloaded, to minimize the number of parameters required.
The class is derived from TDenseMtxVec.
For comprehensive help file please see the online documentation of MtxVec for Delphi/C++ Builder or MtxVec for Visual Studio .NET
Introduced Methods
| Function | Description |
|---|---|
| AddTensorProd | Calculates the tensor product of two vectors and adds the result to the calling matrix. |
| Adjung | Adjungate matrix. |
| BandedToDense | Convert banded matrix to dense. |
| Cholesky | Test if the matrix is semi positive definite. |
| ColExchange | Exchange matrix columns. |
| Concat | Concatenate an array of matrices to single matrix. |
| ConcatHorz | Concenates an array of matrices horizontally. |
| ConcatVert | Concenates an array of matrices vertically. |
| Convolve | Performs finite, linear convolution of two two-dimensional signals. |
| Copy | Copies the matrix. |
| CopyFromArray | Copies the matrix from a 2D array. |
| CopyToArray | Copies matrix values to a 2D array. |
| CopyVec | Copies values from vector to a matrix. |
| Create | Create a new TMtx object. |
| CreateFromCache | Obtain a pointer to a matrix from object cache. |
| CumSum | Cumulative sum for each of the matrix columns. |
| DenseToBanded | Convert dense matrix to banded. |
| DetectMtxType | Determines type of the matrix. |
| Determinant | Determinant of squared matrix. |
| Diag | Sets the matrix diagonal to values from the vector. |
| Eig | Calculates matrix eigenvalues and eigenvectors. |
| EigGen | Performs the reduction of the symmetric-definite generalized eigenvalues/eigenvectors problem to the normal eigenvalue case. |
| Equal | Compares two matrices. |
| Eye | Constructs an eye matrix. |
| FFT1D | Forward parallel in-place 1D FFT. |
| FFT1DFromReal | Forward parallel in-place 1D FFT from real to complex. |
| FFT2D | Forward two-dimentional Fast Fourier Transformation from real/complex to complex. |
| FFT2DFromReal | Forward two-dimentional Fast Fourier Transformation for real numbers. |
| FlipHor | Flips the matrix elements horizontally. |
| FlipVer | Flips the matrix elements vertically Flip calling matrix elements vertically - element [j, col] = element [Rows-j, col]. |
| FreeMemory | |
| IFFT1D | Inverse parallel in-place 1D FFT. |
| IFFT1DToReal | Inverse parallel in-place 1D FFT from complex to real. |
| IFFT2D | Inverse two-dimentional Fast Fourier Transformation from complex to complex. |
| IFFT2DToReal | Inverse two-dimentional Fast Fourier Transformation from complex to real. |
| Inv | Calculates matrix inverse (Mtx^-1). |
| InvElem | The inverse of matrix elements. |
| Kron | The Kronecker product between two vectors. |
| LowerTriangle | Constructs lower triangular matrix. |
| LQR | QR or LQ factorization. |
| LQRSolve | Solve overdetermined or underdetermined system of real linear equations. |
| LU | General LU, Cholesky or Bunch-Kaufmann factorization. |
| LUSolve | Solves system of linear equations by using LU factorization. |
| MeanCols | Calculates the mean value of each of the matrix columns. |
| MeanRows | Calculates the mean value of each of the matrix rows. |
| MtxFunction | Compute matrix function as a function of another matrix. |
| MtxIntPower | Calculates the matrix to integer power. |
| MtxPower | Calculates the matrix to any power, real or integer. |
| MtxSqrt | Calculates the square root of the matrix. |
| Mul | Matrix multiplication. |
| MulElem | Matrix array multiplication. |
| Norm1 | Calculates the matrix norm-1. |
| NormFro | Calculates the matrix Frobenius norm. |
| NormInf | Calculates the matrix infinity norm. |
| Pascl | Constructs a Pascal matrix. |
| PCValues | Returns a pointer to the complex value stored at Row and Col. |
| PixelDownSample | Creates a reduced size dense matrix for screen display (bitmap) to show the matrix pattern. |
| PowerMtx | Raises matrix elements to any power. |
| PValues | Returns a pointer to the real value stored at Row and Col. |
| Resize | Resizes the matrix, while preserving the values in already allocated memory. |
| ResizeAndTranspose | Resize and transpose. |
| Rotate90 | Rotates matrix rows 90 degrees clockwise. |
| RowExchange | Exchanges two matrix rows. |
| SaveToMatrixMarketFile | Saves matrix data to MatrixMarket ASCII file format. |
| SetCol | Copies values from vector to matrix column. |
| SetIt | Sets matrix values. |
| SetRow | Copies values from vector to matrix row. |
| SetVal | Initializes matrix values to Value. |
| SetZero | Initializes matrix values to zero. |
| Size | Sets the size of matrix. |
| SizeFromArray | Sizes the calling matrix to match the size of the array. |
| SizeToArray | Sizes the Dst array to match the matrix. |
| SortAscend | Sorts the elements in a matrix row(s) in ascending order. |
| SortDescend | Sorts the elements in a matrix row(s) in descending order. |
| Split | Splits matrix in blocks. |
| StringsToValues | Convert strings to TSample (TCplx) and store them in the Values array. |
| SumCols | Calculates the sum of each of the calling matrix columns. |
| SumRows | Calculates the sum of each of the calling matrix rows. |
| SVD | Singular value decomposition. |
| SVDSolve | Calculates the minimum norm solution to a real linear least squares problem. |
| Sylvester | Solves the Sylvester equation. |
| TensorProd | Calculates the tensor product of two vectors. |
| Toeplitz | Constructs a Toeplitz matrix. |
| Trace | Matrix trace. |
| Transp | Transposes matrix. |
| UpperTriangle | Constructs upper triangular matrix. |
| ValuesToStrings | Converts the content of the matrix Values array to a list of strings. |
| VanderMonde | Construct VanderMonde matrix |