| DSP Blockset | |
Solve the equation UX=B for X when U is an upper triangular matrix.
Library
Math Functions / Matrices and Linear Algebra / Linear System Solvers
Description
The Backward Substitution block solves the linear system UX=B by simple backward substitution of variables, where U is the upper triangular M-by-M matrix input to the U port, and B is the M-by-N matrix input to the B port. The output is the solution of the equations, the M-by-N matrix X, and is always sample-based.
The block uses only the elements in the upper triangle of input U; the lower elements are ignored. When Force input to be unit-upper triangular is selected, the block replaces the elements on the diagonal of U with ones. This is useful when matrix U is the result of another operation, such as an LDL decomposition, that uses the diagonal elements to represent the D matrix.
A length-M vector input at port B is treated as an M-by-1 matrix.
Dialog Box
See Also
| Cholesky Solver |
DSP Blockset |
| Forward Substitution |
DSP Blockset |
| LDL Solver |
DSP Blockset |
| Levinson-Durbin |
DSP Blockset |
| LU Solver |
DSP Blockset |
| QR Solver |
DSP Blockset |
See Solving Linear Systems for related information.
| | Autocorrelation LPC | Biquadratic Filter | |
