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.

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.

Detailed Description

Function Documentation

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

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