# 線形代数

## System object

 `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

## ブロック

 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
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