.Modelica_LinearSystems2.Math.Matrices

Information

This package provides functions operating on matrices, see also Matrices.

Contents

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)