D4a2. Ordinary eigenvalue problems (general matrices) - Computational routines

Functions
void	dgebak (char job, char side, int n, int ilo, int ihi, double scale[], int m, int ldv, double v[], int *info)
	Eigenvectors of original real general matrix by backward transformation on balanced matrix
void	dgebal (char job, int n, int lda, double a[], int *ilo, int *ihi, double scale[], int *info)
	Balancing of a real general matrix
void	dgehrd (int n, int ilo, int ihi, int lda, double a[], double tau[], double work[], int lwork, int *info)
	Reduces a real general matrix to upper Hessenberg form
void	dhsein (char side, char eigsrc, char initv, int select[], int n, int ldh, double h[], double wr[], double wi[], int ldvl, double vl[], int ldvr, double vr[], int mm, int *m, double work[], int ifaill[], int ifailr[], int *info)
	Eigenvectors of Hessenberg matrix by inverse iteration method
void	dhseqr (char job, char compz, int n, int ilo, int ihi, int ldh, double h[], double wr[], double wi[], int ldz, double z[], double work[], int lwork, int *info)
	Eigenvalues and Schur factorization of Hessenberg matrix by QR method
void	dorghr (int n, int ilo, int ihi, int lda, double a[], double tau[], double work[], int lwork, int *info)
	Generates a transform matrix to Hessenberg form
void	dormhr (char side, char trans, int m, int n, int ilo, int ihi, int lda, double a[], double tau[], int ldc, double c[], double work[], int lwork, int *info)
	Multiplies by a transform matrix to Hessenberg form
void	dtrevc3 (char side, char howmny, int select[], int n, int ldt, double t[], int ldvl, double vl[], int ldvr, double vr[], int mm, int *m, double work[], int lwork, int *info)
	Eigenvectors of quasi-triangular matrix of Schur factorization
void	dtrexc (char compq, int n, int ldt, double t[], int ldq, double q[], int *ifst, int *ilst, double work[], int *info)
	Reordering of real Schur factorization of real matrix
void	dtrsen (char job, char compq, int select[], int n, int ldt, double t[], int ldq, double q[], double wr[], double wi[], int *m, double *s, double *sep, double work[], int lwork, int iwork[], int liwork, int *info)
	Reordering of real Schur factorization of real matrix and condition numbers of cluster of eigenvalues and/or invariant subspace
void	dtrsna (char job, char howmny, int select[], int n, int ldt, double t[], int ldvl, double vl[], int ldvr, double vr[], double s[], double sep[], int mm, int *m, double work[], int lwork, int iwork[], int liwork, int *info)
	Condition numbers for eigenvalues and/or eigenvectors of upper quasi-triangular matrix
void	dtrsyl (char transa, char transb, int isgn, int m, int n, int lda, double a[], int ldb, double b[], int ldc, double c[], double *scale, int *info)
	Solve real Sylvester matrix equation

Detailed Description

This is the group of D4a2. Ordinary eigenvalue problems (general matrices) - Computational routines.