sb2st: 2nd stage, band to tridiagonal

Functions
magma_int_t	magma_dsytrd_sb2st (magma_uplo_t uplo, magma_int_t n, magma_int_t nb, magma_int_t Vblksiz, double *A, magma_int_t lda, double *d, double *e, double *V, magma_int_t ldv, double *TAU, magma_int_t wantz, double *T, magma_int_t ldt)
	Reduces symmetric band matrix to real symmetric tridiagonal. More...
magma_int_t	magma_ssytrd_sb2st (magma_uplo_t uplo, magma_int_t n, magma_int_t nb, magma_int_t Vblksiz, float *A, magma_int_t lda, float *d, float *e, float *V, magma_int_t ldv, float *TAU, magma_int_t wantz, float *T, magma_int_t ldt)
	Reduces symmetric band matrix to real symmetric tridiagonal. More...

Detailed Description

Function Documentation

magma_int_t magma_dsytrd_sb2st	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magma_int_t	nb,
		magma_int_t	Vblksiz,
		double *	A,
		magma_int_t	lda,
		double *	d,
		double *	e,
		double *	V,
		magma_int_t	ldv,
		double *	TAU,
		magma_int_t	wantz,
		double *	T,
		magma_int_t	ldt
	)

Reduces symmetric band matrix to real symmetric tridiagonal.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangles of A is stored; = MagmaLower: Lower triangles of A is stored.
[in]	n	INTEGER The order of the matrix A. n >= 0.
[in]	nb	INTEGER The order of the band matrix A. n >= nb >= 0.
[in]	Vblksiz	INTEGER The size of the block of householder vectors applied at once.
[in]	A	(workspace) DOUBLE PRECISION array, dimension (lda, n) On entry the band matrix stored in the following way:
[in]	lda	INTEGER The leading dimension of the array A. lda >= 2*nb.
[out]	d	DOUBLE array, dimension (n) The diagonal elements of the tridiagonal matrix T: D(i) = A(i,i).
[out]	e	DOUBLE array, dimension (n-1) The off-diagonal elements of the tridiagonal matrix T: E(i) = A(i,i+1) if UPLO = MagmaUpper, E(i) = A(i+1,i) if UPLO = MagmaLower.
[out]	V	DOUBLE PRECISION array, dimension (BLKCNT, LDV, VBLKSIZ) On exit it contains the blocks of householder reflectors BLKCNT is the number of block and it is returned by the funtion MAGMA_BULGE_GET_BLKCNT.
[in]	ldv	INTEGER The leading dimension of V. LDV > nb + VBLKSIZ + 1
[out]	TAU	DOUBLE PRECISION dimension(BLKCNT, VBLKSIZ) ???
[in]	wantz	INTEGER if COMPT = 0 T is not computed if COMPT = 1 T is computed
[out]	T	DOUBLE PRECISION dimension(LDT *) if COMPT = 1 on exit contains the matrices T needed for Q2 if COMPT = 0 T is not referenced
[in]	ldt	INTEGER The leading dimension of T. LDT > Vblksiz

magma_int_t magma_ssytrd_sb2st	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magma_int_t	nb,
		magma_int_t	Vblksiz,
		float *	A,
		magma_int_t	lda,
		float *	d,
		float *	e,
		float *	V,
		magma_int_t	ldv,
		float *	TAU,
		magma_int_t	wantz,
		float *	T,
		magma_int_t	ldt
	)

Reduces symmetric band matrix to real symmetric tridiagonal.

Parameters

[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangles of A is stored; = MagmaLower: Lower triangles of A is stored.
[in]	n	INTEGER The order of the matrix A. n >= 0.
[in]	nb	INTEGER The order of the band matrix A. n >= nb >= 0.
[in]	Vblksiz	INTEGER The size of the block of householder vectors applied at once.
[in]	A	(workspace) REAL array, dimension (lda, n) On entry the band matrix stored in the following way:
[in]	lda	INTEGER The leading dimension of the array A. lda >= 2*nb.
[out]	d	DOUBLE array, dimension (n) The diagonal elements of the tridiagonal matrix T: D(i) = A(i,i).
[out]	e	DOUBLE array, dimension (n-1) The off-diagonal elements of the tridiagonal matrix T: E(i) = A(i,i+1) if UPLO = MagmaUpper, E(i) = A(i+1,i) if UPLO = MagmaLower.
[out]	V	REAL array, dimension (BLKCNT, LDV, VBLKSIZ) On exit it contains the blocks of householder reflectors BLKCNT is the number of block and it is returned by the funtion MAGMA_BULGE_GET_BLKCNT.
[in]	ldv	INTEGER The leading dimension of V. LDV > nb + VBLKSIZ + 1
[out]	TAU	REAL dimension(BLKCNT, VBLKSIZ) ???
[in]	wantz	INTEGER if COMPT = 0 T is not computed if COMPT = 1 T is computed
[out]	T	REAL dimension(LDT *) if COMPT = 1 on exit contains the matrices T needed for Q2 if COMPT = 0 T is not referenced
[in]	ldt	INTEGER The leading dimension of T. LDT > Vblksiz