.Modelica_LinearSystems2.Math.Matrices.LAPACK

Information

This package contains functions to call routines from software library LAPACK (Linear Algebra PACKage) aimed for numerical linear algebra. The library is provided by Netlib Repository.

Contents

NameDescription
 dgeevx_eigenValuesCompute the eigenvalues of matrix A, using lapack routine dgeevx (with balancing)
 dggev_eigenValuesCompute only generalized eigenvalues for a (A,B) system
 dlansyNorm of a symmetric matrix
 dorgqr_xGenerates a real orthogonal matrix Q which is defined as the product of elementary reflectors, as returned by DGEQRF
 dgemmBlas algorithm to perform C:=a*op(A)*op(B) + b*C (a,b scalars, ABC matrices)
 dtrmmBlas algorithm to perform B := alpha*op( A )*B, or B := alpha*B*op( A ) with triangular matrix A
 drotApplies a plane rotation
 drotgConstruct Givens plane rotation
 dtrsvSolve one of the matrix equations op( A )*x = B where A is upper or lower triangular matrix. BLAS routine
 dposvCompute the solution to A * X = B, where A is a symmetric positive definite matrix
 dpoconEstimates the reciprocal of the condition number (1-norm) of a real symmetric matrix A using the Cholesky factor
 dgelqfCompute LQ factorization of a real matrix A=L*Q
 dorglqGenerate a matrix Q with orthonormal rows which is defined as the product of elementary reflectors, as returned by DGELQF
 dtrtriComputes the inverse of a triangular real matrix A

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