dlaed9 - is used by sstedc. Find the roots of the secular equation and updates the eigenvectors. Used when the original matrix is dense
SUBROUTINE DLAED9( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER INFO, K, KSTART, KSTOP, LDQ, LDS, N DOUBLE PRECISION RHO DOUBLE PRECISION D(*),DLAMDA(*), Q(LDQ,*), S(LDS,*), W(*) SUBROUTINE DLAED9_64( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER*8 INFO, K, KSTART, KSTOP, LDQ, LDS, N DOUBLE PRECISION RHO DOUBLE PRECISION D(*),DLAMDA(*), Q(LDQ,*), S(LDS,*), W(*) F95 INTERFACE SUBROUTINE LAED9( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER :: K, KSTART, KSTOP, N, LDQ, LDS, INFO REAL(8), DIMENSION(:,:) :: Q, S REAL(8), DIMENSION(:) :: D, DLAMDA, W REAL(8) :: RHO SUBROUTINE LAED9_64( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER(8) :: K, KSTART, KSTOP, N, LDQ, LDS, INFO REAL(8), DIMENSION(:,:) :: Q, S REAL(8), DIMENSION(:) :: D, DLAMDA, W REAL(8) :: RHO C INTERFACE #include <sunperf.h> void dlaed9 (int k, int kstart, int kstop, int n, double *d, double *q, int ldq, double rho, double *dlamda, double *w, double *s, int lds, int *info); void dlaed9_64 (long k, long kstart, long kstop, long n, double *d, double *q, long ldq, double rho, double *dlamda, double *w, double *s, long lds, long *info);
Oracle Solaris Studio Performance Library dlaed9(3P) NAME dlaed9 - is used by sstedc. Find the roots of the secular equation and updates the eigenvectors. Used when the original matrix is dense SYNOPSIS SUBROUTINE DLAED9( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER INFO, K, KSTART, KSTOP, LDQ, LDS, N DOUBLE PRECISION RHO DOUBLE PRECISION D(*),DLAMDA(*), Q(LDQ,*), S(LDS,*), W(*) SUBROUTINE DLAED9_64( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER*8 INFO, K, KSTART, KSTOP, LDQ, LDS, N DOUBLE PRECISION RHO DOUBLE PRECISION D(*),DLAMDA(*), Q(LDQ,*), S(LDS,*), W(*) F95 INTERFACE SUBROUTINE LAED9( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER :: K, KSTART, KSTOP, N, LDQ, LDS, INFO REAL(8), DIMENSION(:,:) :: Q, S REAL(8), DIMENSION(:) :: D, DLAMDA, W REAL(8) :: RHO SUBROUTINE LAED9_64( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO ) INTEGER(8) :: K, KSTART, KSTOP, N, LDQ, LDS, INFO REAL(8), DIMENSION(:,:) :: Q, S REAL(8), DIMENSION(:) :: D, DLAMDA, W REAL(8) :: RHO C INTERFACE #include <sunperf.h> void dlaed9 (int k, int kstart, int kstop, int n, double *d, double *q, int ldq, double rho, double *dlamda, double *w, double *s, int lds, int *info); void dlaed9_64 (long k, long kstart, long kstop, long n, double *d, double *q, long ldq, double rho, double *dlamda, double *w, double *s, long lds, long *info); PURPOSE dlaed9 finds the roots of the secular equation, as defined by the val- ues in D, Z, and RHO, between KSTART and KSTOP. It makes the appropri- ate calls to DLAED4 and then stores the new matrix of eigenvectors for use in calculating the next level of Z vectors. ARGUMENTS K (input) K is INTEGER The number of terms in the rational function to be solved by DLAED4. K >= 0. KSTART (input) KSTART is INTEGER KSTOP (input) KSTOP is INTEGER The updated eigenvalues Lambda(I), KSTART <= I <= KSTOP are to be computed. 1 <= KSTART <= KSTOP <= K. N (input) N is INTEGER The number of rows and columns in the Q matrix. N >= K (delation may result in N > K). D (output) D is DOUBLE PRECISION array, dimension (N) D(I) contains the updated eigenvalues for KSTART <= I <= KSTOP. Q (output) Q is DOUBLE PRECISION array, dimension (LDQ,N) LDQ (input) LDQ is INTEGER The leading dimension of the array Q. LDQ >= max( 1, N ). RHO (input) RHO is DOUBLE PRECISION The value of the parameter in the rank one update equation. RHO >= 0 required. DLAMDA (input) DLAMDA is DOUBLE PRECISION array, dimension (K) The first K elements of this array contain the old roots of the deflated updating problem. These are the poles of the secular equation. W (input) W is DOUBLE PRECISION array, dimension (K) The first K elements of this array contain the components of the deflation-adjusted updating vector. S (output) S is DOUBLE PRECISION array, dimension (LDS, K) Will contain the eigenvectors of the repaired matrix which will be stored for subsequent Z vector calculation and multiplied by the previously accumulated eigenvectors to update the system. LDS (input) LDS is INTEGER The leading dimension of S. LDS >= max( 1, K ). INFO (output) INFO is INTEGER = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value. > 0: if INFO = 1, an eigenvalue did not converge 7 Nov 2015 dlaed9(3P)