◆ zgebak()

void zgebak	(	char	job,
		char	side,
		int	n,
		int	ilo,
		int	ihi,
		double	scale[],
		int	m,
		int	ldv,
		doublecomplex	v[],
		int *	info
	)

Eigenvectors of original complex general matrix by backward transformation on balanced matrix

Purpose: This routine forms the right or left eigenvectors of a complex general matrix by backward transformation on the computed eigenvectors of the balanced matrix output by zgebal.

Parameters

[in]	job	Specifies the operations to be performed on A. = 'N': Do nothing, return immediately. = 'P': Do backward transformation for permutation only. = 'S': Do backward transformation for scaling only. = 'B': Do backward transformations for both permutation and scaling. job must be the same as the argument job supplied to zgebal.
[in]	side	= 'R': V contains right eigenvectors. = 'L': V contains left eigenvectors.
[in]	n	Order of the matrix A. (n >= 0) (If n = 0, returns without computation)
[in]	ilo
[in]	ihi	The integers ilo and ihi determined by zgebal. (1 <= ilo <= ihi <= n, if n > 0. ilo = 1 and ihi = 0, if n = 0)
[in]	scale[]	Array scale[lscale] (lscale >= n) Details of the permutation and scaling factors, as returned by zgebal.
[in]	m	The number of columns of the matrix V. (m >= 0)
[in]	ldv	Leading dimension of the two dimensional array v[][]. (ldv >= max(1, n))
[in,out]	v[][]	Array v[lv][ldv] (lv >= m) [in] The matrix of right or left eigenvectors to be transformed, as returned by zhsein or ztrevc3. [out] v[][] is overwritten by the transformed eigenvectors.
[out]	info	= 0: Successful exit = -1: The argument job had an illegal value (job != 'N', 'P', 'S' nor 'B') = -2: The argument side had an illegal value (side != 'R' nor 'L') = -3: The argument n had an illegal value (n < 0) = -4: The argument ilo had an illegal value (ilo < 1 or ilo > n) = -5: The argument ihi had an illegal value (ihi < min(ilo, n) or ihi > n) = -7: The argument m had an illegal value (m < 0) = -8: The argument ldv had an illegal value (ldv < max(1, n))

Reference: LAPACK