Chapter 14
MATRIX – Blocks for matrix and vector operations
Implementation notice: First element of a matrix has index (0,0), first element of a vector has index (0).
The vector is one-column-matrix, not separate object. One-row-matrix is called a row vector, but that object should not be used as vector in REXYGEN.
The matrix inputs and outputs are references. It means one block (the MX_MAT block or the MX_VEC block most often) reserve memory for the matrix and other block (using same reference) write/read same space. The MB_DCOPY block (and second the MX_MAT block) must be used to create copy of the matrix.
Some blocks using vector (MB_DCPY, RTOV, VTOR) not check exact dimensions (for example a 10x10 matrix is regard as 100-elements vector). Matrix is linearize into vector column by column, because a matrix is stored this way in memory (e.g. for a 10x10 matrix: element (1,0) has index 1 in vector, element (2,0) has index 2 in vector, element (0,1) has index 10 in vector, element (0,2) has index 11 in vector, etc.) These type of blocks could not be used with submatrix returned by the MX_DSAREF block. Behavior is undefined in this case.
The most matrix blocks has input and output matrix reference. Both are equal, but connecting input reference to output reference of previous block define execution order (the blocks are executed according signal flow in REXYGEN) and therfore computed matrix equation.
MB_DASUM – Sum of the absolute values
MB_DAXPY – Performs y := a*x + y for vectors x,y
MB_DCOPY – Copies vector x to vector y
MB_DDOT – Dot product of two vectors
MB_DGEMM – Performs C := alpha*op(A)*op(B) + beta*C, where op(X) = X or op(X) = X^T
MB_DGEMV – Performs y := alpha*A*x + beta*y or y := alpha*A^T*x + beta*y
MB_DGER – Performs A := alpha*x*y^T + A
MB_DNRM2 – Euclidean norm of a vector
MB_DROT – Plain rotation of a vector
MB_DSCAL – Scales a vector by a constant
MB_DSWAP – Interchanges two vectors
MB_DTRMM – Performs B := alpha*op(A)*B or B := alpha*B*op(A), where op(X) = X or op(X) = X^T for triangular matrix A
MB_DTRMV – Performs x := A*x or x := A^T*x for triangular matrix A
MB_DTRSV – Solves one of the system of equations A*x = b or A^T*x = b for triangular matrix A
ML_DGEBAK – Backward transformation to ML_DGEBAL of left or right eigenvectors
ML_DGEBAL – Balancing of a general real matrix
ML_DGEBRD – Reduces a general real matrix to bidiagonal form by an orthogonal transformation
ML_DGECON – Estimates the reciprocal of the condition number of a general real matrix
ML_DGEES – Computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors
ML_DGEEV – Computes the eigenvalues and, optionally, the left and/or right eigenvectors
ML_DGEHRD – Reduces a real general matrix A to upper Hessenberg form
ML_DGELQF – Computes an LQ factorization of a real M-by-N matrix A
ML_DGELSD – Computes the minimum-norm solution to a real linear least squares problem
ML_DGEQRF – Computes an QR factorization of a real M-by-N matrix A
ML_DGESDD – Computes the singular value decomposition (SVD) of a real M-by-N matrix A
ML_DLACPY – Copies all or part of one matrix to another matrix
ML_DLANGE – Computes one of the matrix norms of a general matrix
ML_DLASET – Initilizes the off-diagonal elements and the diagonal elements of a matrix to given values
ML_DTRSYL – Solves the real Sylvester matrix equation for quasi-triangular matrices A and B
MX_AT – Get Matrix/Vector element
MX_ATSET – Set Matrix/Vector element
MX_CNADD – Add scalar to each Matrix/Vector element
MX_CNMUL – Multiply a Matrix/Vector by a scalar
MX_CTODPA – Discretizes continuous model given by (A,B) to (Ad,Bd) using Pade approximations
MX_DIM – Matrix/Vector dimensions
MX_DIMSET – Set Matrix/Vector dimensions
MX_DSAGET – Set subarray of A into B
MX_DSAREF – Set reference to subarray of A into B
MX_DSASET – Set A into subarray of B
MX_DTRNSP – General matrix transposition: B := alpha*A^T
MX_DTRNSQ – Square matrix in-place transposition: A := alpha*A^T
MX_FILL – Fill real matrix or vector
MX_MAT – Matrix data storage block
MX_RAND – Randomly generated matrix or vector
MX_REFCOPY – Copies input references of matrices A and B to their output references
MX_SLFS – Save or load a Matrix/Vector into file or string
MX_VEC – Vector data storage block
MX_WRITE – Write a Matrix/Vector to the console/system log
RTOV – Vector multiplexer
SWVMR – Vector/matrix/reference signal switch
VTOR – Vector demultiplexer
[Previous] [Back to top] [Up] [Next]
2023 © REX Controls s.r.o., www.rexygen.com