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DSBEVDRun Method

Purpose ======= DSBEVD computes all the eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A. If eigenvectors are desired, it uses a divide and conquer algorithm. The divide and conquer algorithm makes very mild assumptions about floating point arithmetic. It will work on machines with a guard digit in add/subtract, or on those binary machines without guard digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2. It could conceivably fail on hexadecimal or decimal machines without guard digits, but we know of none.

Namespace: DotNumerics.LinearAlgebra.CSLapack
Assembly: DWSIM.MathOps.DotNumerics (in DWSIM.MathOps.DotNumerics.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax
public void Run(
	string JOBZ,
	string UPLO,
	int N,
	int KD,
	ref double[] AB,
	int offset_ab,
	int LDAB,
	ref double[] W,
	int offset_w,
	ref double[] Z,
	int offset_z,
	int LDZ,
	ref double[] WORK,
	int offset_work,
	int LWORK,
	ref int[] IWORK,
	int offset_iwork,
	int LIWORK,
	ref int INFO
)
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Parameters

JOBZ  String
(input) CHARACTER*1 = 'N': Compute eigenvalues only; = 'V': Compute eigenvalues and eigenvectors.
UPLO  String
(input) CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored.
N  Int32
(input) INTEGER The order of the matrix A. N .GE. 0.
KD  Int32
(input) INTEGER The number of superdiagonals of the matrix A if UPLO = 'U', or the number of subdiagonals if UPLO = 'L'. KD .GE. 0.
AB  Double
(input/output) DOUBLE PRECISION array, dimension (LDAB, N) On entry, the upper or lower triangle of the symmetric band matrix A, stored in the first KD+1 rows of the array. The j-th column of A is stored in the j-th column of the array AB as follows: if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd).LE.i.LE.j; if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j.LE.i.LE.min(n,j+kd). On exit, AB is overwritten by values generated during the reduction to tridiagonal form. If UPLO = 'U', the first superdiagonal and the diagonal of the tridiagonal matrix T are returned in rows KD and KD+1 of AB, and if UPLO = 'L', the diagonal and first subdiagonal of T are returned in the first two rows of AB.
offset_ab  Int32
 
LDAB  Int32
(input) INTEGER The leading dimension of the array AB. LDAB .GE. KD + 1.
W  Double
(output) DOUBLE PRECISION array, dimension (N) If INFO = 0, the eigenvalues in ascending order.
offset_w  Int32
 
Z  Double
(output) DOUBLE PRECISION array, dimension (LDZ, N) If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal eigenvectors of the matrix A, with the i-th column of Z holding the eigenvector associated with W(i). If JOBZ = 'N', then Z is not referenced.
offset_z  Int32
 
LDZ  Int32
(input) INTEGER The leading dimension of the array Z. LDZ .GE. 1, and if JOBZ = 'V', LDZ .GE. max(1,N).
WORK  Double
(workspace/output) DOUBLE PRECISION array, dimension (LWORK) On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
offset_work  Int32
 
LWORK  Int32
(input) INTEGER The dimension of the array WORK. IF N .LE. 1, LWORK must be at least 1. If JOBZ = 'N' and N .GT. 2, LWORK must be at least 2*N. If JOBZ = 'V' and N .GT. 2, LWORK must be at least ( 1 + 5*N + 2*N**2 ). If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal sizes of the WORK and IWORK arrays, returns these values as the first entries of the WORK and IWORK arrays, and no error message related to LWORK or LIWORK is issued by XERBLA.
IWORK  Int32
(workspace/output) INTEGER array, dimension (MAX(1,LIWORK)) On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK.
offset_iwork  Int32
 
LIWORK  Int32
(input) INTEGER The dimension of the array LIWORK. If JOBZ = 'N' or N .LE. 1, LIWORK must be at least 1. If JOBZ = 'V' and N .GT. 2, LIWORK must be at least 3 + 5*N. If LIWORK = -1, then a workspace query is assumed; the routine only calculates the optimal sizes of the WORK and IWORK arrays, returns these values as the first entries of the WORK and IWORK arrays, and no error message related to LWORK or LIWORK is issued by XERBLA.
INFO  Int32
(output) INTEGER = 0: successful exit .LT. 0: if INFO = -i, the i-th argument had an illegal value .GT. 0: if INFO = i, the algorithm failed to converge; i off-diagonal elements of an intermediate tridiagonal form did not converge to zero.
See Also