LAPACK
3.4.2
LAPACK: Linear Algebra PACKage

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Functions/Subroutines  
subroutine  dstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO) 
DSTEIN 
subroutine dstein  (  integer  N, 
double precision, dimension( * )  D,  
double precision, dimension( * )  E,  
integer  M,  
double precision, dimension( * )  W,  
integer, dimension( * )  IBLOCK,  
integer, dimension( * )  ISPLIT,  
double precision, dimension( ldz, * )  Z,  
integer  LDZ,  
double precision, dimension( * )  WORK,  
integer, dimension( * )  IWORK,  
integer, dimension( * )  IFAIL,  
integer  INFO  
) 
DSTEIN
Download DSTEIN + dependencies [TGZ] [ZIP] [TXT]DSTEIN computes the eigenvectors of a real symmetric tridiagonal matrix T corresponding to specified eigenvalues, using inverse iteration. The maximum number of iterations allowed for each eigenvector is specified by an internal parameter MAXITS (currently set to 5).
[in]  N  N is INTEGER The order of the matrix. N >= 0. 
[in]  D  D is DOUBLE PRECISION array, dimension (N) The n diagonal elements of the tridiagonal matrix T. 
[in]  E  E is DOUBLE PRECISION array, dimension (N1) The (n1) subdiagonal elements of the tridiagonal matrix T, in elements 1 to N1. 
[in]  M  M is INTEGER The number of eigenvectors to be found. 0 <= M <= N. 
[in]  W  W is DOUBLE PRECISION array, dimension (N) The first M elements of W contain the eigenvalues for which eigenvectors are to be computed. The eigenvalues should be grouped by splitoff block and ordered from smallest to largest within the block. ( The output array W from DSTEBZ with ORDER = 'B' is expected here. ) 
[in]  IBLOCK  IBLOCK is INTEGER array, dimension (N) The submatrix indices associated with the corresponding eigenvalues in W; IBLOCK(i)=1 if eigenvalue W(i) belongs to the first submatrix from the top, =2 if W(i) belongs to the second submatrix, etc. ( The output array IBLOCK from DSTEBZ is expected here. ) 
[in]  ISPLIT  ISPLIT is INTEGER array, dimension (N) The splitting points, at which T breaks up into submatrices. The first submatrix consists of rows/columns 1 to ISPLIT( 1 ), the second of rows/columns ISPLIT( 1 )+1 through ISPLIT( 2 ), etc. ( The output array ISPLIT from DSTEBZ is expected here. ) 
[out]  Z  Z is DOUBLE PRECISION array, dimension (LDZ, M) The computed eigenvectors. The eigenvector associated with the eigenvalue W(i) is stored in the ith column of Z. Any vector which fails to converge is set to its current iterate after MAXITS iterations. 
[in]  LDZ  LDZ is INTEGER The leading dimension of the array Z. LDZ >= max(1,N). 
[out]  WORK  WORK is DOUBLE PRECISION array, dimension (5*N) 
[out]  IWORK  IWORK is INTEGER array, dimension (N) 
[out]  IFAIL  IFAIL is INTEGER array, dimension (M) On normal exit, all elements of IFAIL are zero. If one or more eigenvectors fail to converge after MAXITS iterations, then their indices are stored in array IFAIL. 
[out]  INFO  INFO is INTEGER = 0: successful exit. < 0: if INFO = i, the ith argument had an illegal value > 0: if INFO = i, then i eigenvectors failed to converge in MAXITS iterations. Their indices are stored in array IFAIL. 
MAXITS INTEGER, default = 5 The maximum number of iterations performed. EXTRA INTEGER, default = 2 The number of iterations performed after norm growth criterion is satisfied, should be at least 1.
Definition at line 174 of file dstein.f.