Purpose
=======
DGEHRD reduces a real general matrix A to upper Hessenberg form H by
an orthogonal similarity transformation: Q' * A * Q = H .
Namespace: DotNumerics.LinearAlgebra.CSLapackAssembly: DWSIM.MathOps.DotNumerics (in DWSIM.MathOps.DotNumerics.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax public void Run(
int N,
int ILO,
int IHI,
ref double[] A,
int offset_a,
int LDA,
ref double[] TAU,
int offset_tau,
ref double[] WORK,
int offset_work,
int LWORK,
ref int INFO
)
Public Sub Run (
N As Integer,
ILO As Integer,
IHI As Integer,
ByRef A As Double(),
offset_a As Integer,
LDA As Integer,
ByRef TAU As Double(),
offset_tau As Integer,
ByRef WORK As Double(),
offset_work As Integer,
LWORK As Integer,
ByRef INFO As Integer
)
Request Example
View SourceParameters
- N Int32
-
(input) INTEGER
The order of the matrix A. N .GE. 0.
- ILO Int32
-
(input) INTEGER
- IHI Int32
-
(input) INTEGER
It is assumed that A is already upper triangular in rows
and columns 1:ILO-1 and IHI+1:N. ILO and IHI are normally
set by a previous call to DGEBAL; otherwise they should be
set to 1 and N respectively. See Further Details.
1 .LE. ILO .LE. IHI .LE. N, if N .GT. 0; ILO=1 and IHI=0, if N=0.
- A Double
-
(input/output) DOUBLE PRECISION array, dimension (LDA,N)
On entry, the N-by-N general matrix to be reduced.
On exit, the upper triangle and the first subdiagonal of A
are overwritten with the upper Hessenberg matrix H, and the
elements below the first subdiagonal, with the array TAU,
represent the orthogonal matrix Q as a product of elementary
reflectors. See Further Details.
- offset_a Int32
-
- LDA Int32
-
(input) INTEGER
The leading dimension of the array A. LDA .GE. max(1,N).
- TAU Double
-
(output) DOUBLE PRECISION array, dimension (N-1)
The scalar factors of the elementary reflectors (see Further
Details). Elements 1:ILO-1 and IHI:N-1 of TAU are set to
zero.
- offset_tau Int32
-
- 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 length of the array WORK. LWORK .GE. max(1,N).
For optimum performance LWORK .GE. N*NB, where NB is the
optimal blocksize.
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
- INFO Int32
-
(output) INTEGER
= 0: successful exit
.LT. 0: if INFO = -i, the i-th argument had an illegal value.
See Also