public interface hesv_rook
HESV_ROOK computes the solution to a complex system of linear equations
A * X = B,
where A is an N-by-N Hermitian matrix and X and B are N-by-NRHS
matrices.
The bounded Bunch-Kaufman ("rook") diagonal pivoting method is used
to factor A as
A = U * D * UT, if UPLO = 'U', or
A = L * D * LT, if UPLO = 'L',
where U (or L) is a product of permutation and unit upper (lower)
triangular matrices, and D is Hermitian and block diagonal with
1-by-1 and 2-by-2 diagonal blocks.
CHETRF_ROOK is called to compute the factorization of a complex
Hermition matrix A using the bounded Bunch-Kaufman ("rook") diagonal
pivoting method.
The factored form of A is then used to solve the system
of equations A * X = B by calling CHETRS_ROOK (uses BLAS 2).
Subroutines
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
character(len=1),
|
intent(in) |
|
|
:: |
uplo |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
nrhs |
|
|
complex(kind=sp),
|
intent(inout) |
|
|
:: |
a(lda,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lda |
|
|
integer(kind=ilp),
|
intent(out) |
|
|
:: |
ipiv(*) |
|
|
complex(kind=sp),
|
intent(inout) |
|
|
:: |
b(ldb,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
ldb |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
work(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lwork |
|
|
integer(kind=ilp),
|
intent(out) |
|
|
:: |
info |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
character(len=1),
|
intent(in) |
|
|
:: |
uplo |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
nrhs |
|
|
complex(kind=dp),
|
intent(inout) |
|
|
:: |
a(lda,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lda |
|
|
integer(kind=ilp),
|
intent(out) |
|
|
:: |
ipiv(*) |
|
|
complex(kind=dp),
|
intent(inout) |
|
|
:: |
b(ldb,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
ldb |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
work(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lwork |
|
|
integer(kind=ilp),
|
intent(out) |
|
|
:: |
info |
|
Module Procedures