This package provides functions operating on matrices, see also Matrices.
| Name | Description |
|---|---|
| LAPACK | Package of LAPACK functions |
| Examples | Package of examples to demonstrate the usage of matrices |
| care | Solution of continuous-time algebraic Riccati equations |
| choleskyDownDate | Compute the cholesky factor Ld according to Ad=Ld'*Ld=A - v*v' with A=L'*L |
| choleskyDownDate2 | Compute the cholesky factor Ld according to Ad=Ld'*Ld=A - v*v' with A=L'*L |
| choleskyUpDate | Compute the cholesky factor Lu according to Au=Lu'*Lu=A + v*v' with A=L'*L |
| dare | Solution of discrete-time algebraic Riccati equations |
| dlyapunov | Solution of continuous-time Lyapunov equation A'X*A - X = C |
| dsylvester | Solution of discrete-time Sylvester equation A*X*B + sgn*X = C |
| eigenValues | Compute eigenvalues and eigenvectors for a real, nonsymmetric matrix (matrix is balanced before eigenvalues are computed) |
| eigenValuesAsRealMatrix | Return eigenvalues for a real, nonsymmetric matrix in a Real representation (computation with optional balancing) |
| fromFile | Read matrix from a matlab file |
| generalizedEigenvaluesTriangular | Compute invariant zeros of linear state space system with a generalized system matrix [A, B, C, D] which is of upper Hessenberg form |
| householderReflexion | Reflect each of the vectors ai of matrix A=[a1, a2, ..., an] on a plane with orthogonal vector u |
| householderSimilarityTransformation | Calculate the similarity transformation S*A*S of matrix A with symmetric householder matrix S = I - 2u*u' |
| lyapunov | Solution of continuous-time Lyapunov equation X*A + A'*X = C |
| LQ | LQ decomposition of a rectangular matrix without column pivoting (A = L*Q) |
| orthogonalQ | Generates a real orthogonal matrix Q defined as the product of IHI-ILO elementary reflectors |
| printMatrixInHtml | Print a matrix in html format on file (without html/body heading) |
| QR | QR decomposition of a rectangular matrix without column pivoting (A = Q*R). Return the full square Q-matrix |
| rsf | Computes the real Schur form (RSF) of a square matrix |
| solve2r | Solve real system of linear equations X*op(A)=B with a B matrix (Gaussian elemination with partial pivoting) |
| sylvester | Solution of continuous-time Sylvester equation A*X + X*B = C |
| triangle | Return the upper/lower triangular part of a square matrix |
| Internal | Package of internal functions operating on matrices (for advanced users only) |