packageMatrices

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
cholesky	Compute the Cholesky factorization of a symmetric positive definte matrix
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
conditionNumber	Calculate the condition number norm(A)*norm(inv(A))
dare	Solution of discrete-time algebraic Riccati equations
det	Determinant of a matrix (computed by LU decomposition)
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)
equalityLeastSquares	Solve a linear equality constrained least squares problem
fliplr	Flip the columns of a matrix in left/right direction
flipud	Flip the columns of a matrix in up/down direction
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
hessenberg	Transform a matrix to 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'
leastSquares2	Solve overdetermined or underdetermined real system of linear equations A*X=B in a least squares sense (A may be rank deficient)
leastSquares	Solve overdetermined or underdetermined real system of linear equations A*x=b in a least squares sense (A may be rank deficient)
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)
LU	LU decomposition of square or rectangular matrix
LU_solve	Solve real system of linear equations P*L*U*x=b with a b vector and an LU decomposition (from LU(..))
LU_solve2	Solve real system of linear equations P*L*U*X=B with a B vector and an LU decomposition (from LU(..))
toUpperHessenberg	Transform a real general matrix A to upper Hessenberg form H by an orthogonal similarity transformation: Q' * A * Q = H
norm	Returns the norm of a matrix
nullspace	Orthonormal nullspace of a matrix
orthogonalQ	Generates a real orthogonal matrix Q defined as the product of IHI-ILO elementary reflectors
printMatrix	Print matrix
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
rcond	Reciprocal condition number
rsf	Computes the real Schur form (RSF) of a square matrix
rsf2	Computes the real Schur form (RSF) of a square matrix but uses lapack.dgees
solve	Solve real system of linear equations A*x=b with a b vector (Gaussian elemination with partial pivoting)
solve2	Solve real system of linear equations A*X=B with a B matrix (Gaussian elemination with partial pivoting)
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
trace	Sum of the diagonal elements of A
triangle	Return the upper/lower triangular part of a square matrix
Internal	Package of internal functions operating on matrices (for advanced users only)