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# Documentation Center

• Trial Software

# 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

 Backward Substitution Solve UX=B for X when U is upper triangular matrix Cholesky Factorization Factor square Hermitian positive definite matrix into triangular components Cholesky Inverse Compute inverse of Hermitian positive definite matrix using Cholesky factorization 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 Factorization Factor square Hermitian positive definite matrices into lower, upper, and diagonal components LDL Inverse Compute inverse of Hermitian positive definite matrix using LDL factorization 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 Factorization Factor square matrix into lower and upper triangular components LU Inverse Compute inverse of square matrix using LU factorization LU Solver Solve AX=B for X when A is square matrix Pseudoinverse Compute Moore-Penrose pseudoinverse of matrix QR Factorization Factor arbitrary matrix into unitary and upper triangular components QR Solver Find minimum-norm-residual solution to AX=B Singular Value Decomposition Factor matrix using singular value decomposition SVD Solver Solve AX=B using singular value decomposition