public class SLAHQR
- extends java.lang.Object
SLAHQR is a simplified interface to the JLAPACK routine slahqr.
This interface converts Java-style 2D row-major arrays into
the 1D column-major linearized arrays expected by the lower
level JLAPACK routines. Using this interface also allows you
to omit offset and leading dimension arguments. However, because
of these conversions, these routines will be slower than the low
level ones. Following is the description from the original Fortran
source. Contact firstname.lastname@example.org with any questions.
* SLAHQR is an auxiliary routine called by SHSEQR to update the
* eigenvalues and Schur decomposition already computed by SHSEQR, by
* dealing with the Hessenberg submatrix in rows and columns ILO to IHI.
* WANTT (input) LOGICAL
* = .TRUE. : the full Schur form T is required;
* = .FALSE.: only eigenvalues are required.
* WANTZ (input) LOGICAL
* = .TRUE. : the matrix of Schur vectors Z is required;
* = .FALSE.: Schur vectors are not required.
* N (input) INTEGER
* The order of the matrix H. N >= 0.
* ILO (input) INTEGER
* IHI (input) INTEGER
* It is assumed that H is already upper quasi-triangular in
* rows and columns IHI+1:N, and that H(ILO,ILO-1) = 0 (unless
* ILO = 1). SLAHQR works primarily with the Hessenberg
* submatrix in rows and columns ILO to IHI, but applies
* transformations to all of H if WANTT is .TRUE..
* 1 <= ILO <= max(1,IHI); IHI <= N.
* H (input/output) REAL array, dimension (LDH,N)
* On entry, the upper Hessenberg matrix H.
* On exit, if WANTT is .TRUE., H is upper quasi-triangular in
* rows and columns ILO:IHI, with any 2-by-2 diagonal blocks in
* standard form. If WANTT is .FALSE., the contents of H are
* unspecified on exit.
* LDH (input) INTEGER
* The leading dimension of the array H. LDH >= max(1,N).
* WR (output) REAL array, dimension (N)
* WI (output) REAL array, dimension (N)
* The real and imaginary parts, respectively, of the computed
* eigenvalues ILO to IHI are stored in the corresponding
* elements of WR and WI. If two eigenvalues are computed as a
* complex conjugate pair, they are stored in consecutive
* elements of WR and WI, say the i-th and (i+1)th, with
* WI(i) > 0 and WI(i+1) < 0. If WANTT is .TRUE., the
* eigenvalues are stored in the same order as on the diagonal
* of the Schur form returned in H, with WR(i) = H(i,i), and, if
* H(i:i+1,i:i+1) is a 2-by-2 diagonal block,
* WI(i) = sqrt(H(i+1,i)*H(i,i+1)) and WI(i+1) = -WI(i).
* ILOZ (input) INTEGER
* IHIZ (input) INTEGER
* Specify the rows of Z to which transformations must be
* applied if WANTZ is .TRUE..
* 1 <= ILOZ <= ILO; IHI <= IHIZ <= N.
* Z (input/output) REAL array, dimension (LDZ,N)
* If WANTZ is .TRUE., on entry Z must contain the current
* matrix Z of transformations accumulated by SHSEQR, and on
* exit Z has been updated; transformations are applied only to
* the submatrix Z(ILOZ:IHIZ,ILO:IHI).
* If WANTZ is .FALSE., Z is not referenced.
* LDZ (input) INTEGER
* The leading dimension of the array Z. LDZ >= max(1,N).
* INFO (output) INTEGER
* = 0: successful exit
* > 0: SLAHQR failed to compute all the eigenvalues ILO to IHI
* in a total of 30*(IHI-ILO+1) iterations; if INFO = i,
* elements i+1:ihi of WR and WI contain those eigenvalues
* which have been successfully computed.
* Further Details
* 2-96 Based on modifications by
* David Day, Sandia National Laboratory, USA
* .. Parameters ..
|Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
public static void SLAHQR(boolean wantt,