线性代数
R2026bDSP System Toolbox™ 系统线性代数模块使您能够在 Simulink® 中处理矩阵。例如，要通过莱文森-杜宾和乔列斯基方法求解一组线性方程，请使用 Levinson-Durbin 和 Cholesky Solver 模块。这些方法通常用于尤尔-沃克 AR 问题和线性预测编码等应用中。要将一个方阵分解为上三角和下三角部成分，请使用 LDL 分解和 LU 分解等方法。要对矩阵求逆，请使用乔列斯基分解、LDL 分解和 LU 分解等方法。有关所有支持的方法和 DSP System Toolbox 中实现这些方法的对应模块的摘要，请参阅Linear Algebra and Least Squares。
模块
 | Cholesky Factorization | Factor square Hermitian positive definite matrix into triangular components |
 | LDL Factorization | Factor square Hermitian positive definite matrices into lower, upper, and diagonal components |
 | LU Factorization | Factor square matrix into lower and upper triangular components |
 | QR Factorization | Factor arbitrary matrix into unitary and upper triangular components |
 | Singular Value Decomposition | Factor matrix using singular value decomposition |
 | Backward Substitution | Solve UX = B for X when U is upper triangular matrix |
 | Cholesky Solver | Solve SX = B for X when S is a square Hermitian positive definite matrix |
 | Forward Substitution | Solve LX = B for X when L is lower triangular matrix |
 | LDL Solver | Solve SX = B when S is square Hermitian positive definite matrix |
 | Levinson-Durbin | Solve linear system of equations using Levinson-Durbin recursion |
 | LU Solver | Solve AX = B when A is a square matrix |
 | QR Solver | Find minimum-norm-residual solution to AX=B |
 | SVD Solver | Solve AX = B using singular value decomposition |
 | Cholesky Inverse | Compute inverse of Hermitian positive definite matrix using Cholesky factorization |
 | LDL Inverse | Compute inverse of Hermitian positive definite matrix using LDL factorization |
 | LU Inverse | 使用 LU 分解计算方阵的逆矩阵 |
 | Pseudoinverse | 计算矩阵的摩尔-彭罗斯伪逆 |
主题
- Linear Algebra and Least Squares
Solve systems of linear equations.
- LDL Factorization of 3-by-3 Hermitian Positive Definite Matrix
Simulink model example that shows how to use the LDL Factorization block.
- Solve Matrix Equation Using Backward Substitution
Use Backward Substitution block to solve a system of linear equations. Verify the solution using Matrix Multiply block.
- Solve Matrix Equation Using Forward Substitution
Use Forward Substitution block to solve a system of linear equations. Verify the solution using Matrix Multiply block.
- Find Inverse of Matrix Using the LU Inverse Block
Find inverse of a square matrix using the LU Inverse block.
- Solve Matrix Equation Using LU Solver
Use LU Solver block to solve a matrix equation. Verify the solution using Matrix Multiply block.
- Solve Matrix Equation Using Singular Value Decomposition
Use SVD Solver block to solve a matrix equation. Verify the solution using Matrix Multiply block.
- Solve Matrix Equation Using Cholesky Solver
Use Cholesky Solver block to solve a matrix equation. Verify the solution using Matrix Multiply block.
- Factorize Matrix Using LU Factorization Block
Factorize a matrix using the LU Factorization block.
