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Linear Algebra

Solve linear equations, factor and invert matrices.

System Objects

dsp.LDLFactor Factor square Hermitian positive definite matrices into components
dsp.LevinsonSolver Solve linear system of equations using Levinson-Durbin recursion
dsp.LowerTriangularSolver Solve lower-triangular matrix equation
dsp.LUFactor Factor square matrix into lower and upper triangular matrices
dsp.UpperTriangularSolver Solve upper-triangular matrix equation

Blocks

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 square Hermitian positive definite matrix
Forward Substitution Solve LX=B for X when L is lower triangular matrix
LDL Solver Solve SX=B for X when S is square Hermitian positive definite matrix
Levinson-Durbin Solve linear system of equations using Levinson-Durbin recursion
LU Solver Solve AX=B for X when A is 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 Compute inverse of square matrix using LU factorization
Pseudoinverse Compute Moore-Penrose pseudoinverse of matrix

Topics

Linear Algebra and Least Squares

Solve systems of linear equations.

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