.Modelica_LinearSystems2.Math.Matrices

Package of functions operating on matrices

Information

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

Contents

NameDescription
 LAPACKPackage of LAPACK functions
 ExamplesPackage of examples to demonstrate the usage of matrices
 careSolution of continuous-time algebraic Riccati equations
 choleskyDownDateCompute the cholesky factor Ld according to Ad=Ld'*Ld=A - v*v' with A=L'*L
 choleskyDownDate2Compute the cholesky factor Ld according to Ad=Ld'*Ld=A - v*v' with A=L'*L
 choleskyUpDateCompute the cholesky factor Lu according to Au=Lu'*Lu=A + v*v' with A=L'*L
 dareSolution of discrete-time algebraic Riccati equations
 dlyapunovSolution of continuous-time Lyapunov equation A'X*A - X = C
 dsylvesterSolution of discrete-time Sylvester equation A*X*B + sgn*X = C
 eigenValuesCompute eigenvalues and eigenvectors for a real, nonsymmetric matrix (matrix is balanced before eigenvalues are computed)
 eigenValuesAsRealMatrixReturn eigenvalues for a real, nonsymmetric matrix in a Real representation (computation with optional balancing)
 fromFileRead matrix from a matlab file
 generalizedEigenvaluesTriangularCompute invariant zeros of linear state space system with a generalized system matrix [A, B, C, D] which is of upper Hessenberg form
 householderReflexionReflect each of the vectors ai of matrix A=[a1, a2, ..., an] on a plane with orthogonal vector u
 householderSimilarityTransformationCalculate the similarity transformation S*A*S of matrix A with symmetric householder matrix S = I - 2u*u'
 lyapunovSolution of continuous-time Lyapunov equation X*A + A'*X = C
 LQLQ decomposition of a rectangular matrix without column pivoting (A = L*Q)
 orthogonalQGenerates a real orthogonal matrix Q defined as the product of IHI-ILO elementary reflectors
 printMatrixInHtmlPrint a matrix in html format on file (without html/body heading)
 QRQR decomposition of a rectangular matrix without column pivoting (A = Q*R). Return the full square Q-matrix
 rsfComputes the real Schur form (RSF) of a square matrix
 solve2rSolve real system of linear equations X*op(A)=B with a B matrix (Gaussian elemination with partial pivoting)
 sylvesterSolution of continuous-time Sylvester equation A*X + X*B = C
 triangleReturn the upper/lower triangular part of a square matrix
 InternalPackage of internal functions operating on matrices (for advanced users only)

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