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template<typename T>
void laed9(integer *k, integer *kstart, integer *kstop, integer *n, T *d, T *q, integer *ldq, T *rho, T *dlamda, T *w, T *s, integer *lds, integer *info)# LAED9 used by sstedc. Finds the roots of the secular equation and
updates the eigenvectors. Used when the original matrix is dense.
Purpose:
LAED9 finds the roots of the secular equation, as defined by the values in D, Z, and RHO, between KSTART and KSTOP. It makes the appropriate calls to SLAED4 and then stores the new matrix of eigenvectors for use in calculating the next level of Z vectors.
- Parameters:
K – [in]
K is INTEGER
The number of terms in the rational function to be solved by SLAED4. K >= 0.
KSTART – [in] KSTART is INTEGER
KSTOP – [in]
KSTOP is INTEGER
The updated eigenvalues Lambda(I), KSTART <= I <= KSTOP are to be computed. 1 <= KSTART <= KSTOP <= K.
N – [in]
N is INTEGER
The number of rows and columns in the Q matrix. N >= K (delation may result in N > K).
D – [out]
D is REAL array, dimension (N)
D(I) contains the updated eigenvalues
for KSTART <= I <= KSTOP.Q – [out] Q is REAL array, dimension (LDQ,N)
LDQ – [in]
LDQ is INTEGER
The leading dimension of the array Q. LDQ >= fla_max(1, N).
RHO – [in]
RHO is REAL
The value of the parameter in the rank one update equation. RHO >= 0 required.
DLAMDA – [in]
DLAMDA is REAL 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 – [in]
W is REAL array, dimension (K)
The first K elements of this array contain the components of the deflation-adjusted updating vector.
S – [out]
S is REAL 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 – [in]
LDS is INTEGER
The leading dimension of S. LDS >= fla_max(1, K).
INFO – [out]
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