선형 대수
R2026bDSP System Toolbox™ 시스템 선형 대수 블록을 사용하면 Simulink®에서 행렬로 작업할 수 있습니다. 예를 들어 Levinson-Durbin 방법과 촐레스키 방법을 통해 선형 방정식 세트를 풀려면 Levinson-Durbin 및 Cholesky Solver 블록을 사용합니다. 이러한 기법은 Yule-Walker AR 문제 및 선형 예측 코딩 등의 응용 분야에서 일반적으로 사용됩니다. 정사각 행렬을 상부 및 하부 성분으로 분해하려면 LDL 분해, LU 분해와 같은 방법을 사용하십시오. 행렬의 역행렬을 구하려면 촐레스키 분해, LDL 분해, LU 분해와 같은 방법을 사용하십시오. 모든 지원되는 기법과 이러한 기법을 구현하는 DSP System Toolbox의 해당 블록에 대한 요약은 Linear Algebra and Least Squares 항목을 참조하십시오.
블록
 | 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 | LU 분해를 사용하여 정사각 행렬의 역행렬 계산 |
 | Pseudoinverse | Compute Moore-Penrose pseudoinverse of matrix |
도움말 항목
- 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.
