LAPACK 3.11.0
LAPACK: Linear Algebra PACKage

◆ dlaqz3()

recursive subroutine dlaqz3 ( logical, intent(in)  ILSCHUR,
logical, intent(in)  ILQ,
logical, intent(in)  ILZ,
integer, intent(in)  N,
integer, intent(in)  ILO,
integer, intent(in)  IHI,
integer, intent(in)  NW,
double precision, dimension( lda, * ), intent(inout)  A,
integer, intent(in)  LDA,
double precision, dimension( ldb, * ), intent(inout)  B,
integer, intent(in)  LDB,
double precision, dimension( ldq, * ), intent(inout)  Q,
integer, intent(in)  LDQ,
double precision, dimension( ldz, * ), intent(inout)  Z,
integer, intent(in)  LDZ,
integer, intent(out)  NS,
integer, intent(out)  ND,
double precision, dimension( * ), intent(inout)  ALPHAR,
double precision, dimension( * ), intent(inout)  ALPHAI,
double precision, dimension( * ), intent(inout)  BETA,
double precision, dimension( ldqc, * )  QC,
integer, intent(in)  LDQC,
double precision, dimension( ldzc, * )  ZC,
integer, intent(in)  LDZC,
double precision, dimension( * )  WORK,
integer, intent(in)  LWORK,
integer, intent(in)  REC,
integer, intent(out)  INFO 
)

DLAQZ3

Download DLAQZ3 + dependencies [TGZ] [ZIP] [TXT]

Purpose:
 DLAQZ3 performs AED
Parameters
[in]ILSCHUR
          ILSCHUR is LOGICAL
              Determines whether or not to update the full Schur form
[in]ILQ
          ILQ is LOGICAL
              Determines whether or not to update the matrix Q
[in]ILZ
          ILZ is LOGICAL
              Determines whether or not to update the matrix Z
[in]N
          N is INTEGER
          The order of the matrices A, B, Q, and Z.  N >= 0.
[in]ILO
          ILO is INTEGER
[in]IHI
          IHI is INTEGER
          ILO and IHI mark the rows and columns of (A,B) which
          are to be normalized
[in]NW
          NW is INTEGER
          The desired size of the deflation window.
[in,out]A
          A is DOUBLE PRECISION array, dimension (LDA, N)
[in]LDA
          LDA is INTEGER
          The leading dimension of the array A.  LDA >= max( 1, N ).
[in,out]B
          B is DOUBLE PRECISION array, dimension (LDB, N)
[in]LDB
          LDB is INTEGER
          The leading dimension of the array B.  LDB >= max( 1, N ).
[in,out]Q
          Q is DOUBLE PRECISION array, dimension (LDQ, N)
[in]LDQ
          LDQ is INTEGER
[in,out]Z
          Z is DOUBLE PRECISION array, dimension (LDZ, N)
[in]LDZ
          LDZ is INTEGER
[out]NS
          NS is INTEGER
          The number of unconverged eigenvalues available to
          use as shifts.
[out]ND
          ND is INTEGER
          The number of converged eigenvalues found.
[out]ALPHAR
          ALPHAR is DOUBLE PRECISION array, dimension (N)
          The real parts of each scalar alpha defining an eigenvalue
          of GNEP.
[out]ALPHAI
          ALPHAI is DOUBLE PRECISION array, dimension (N)
          The imaginary parts of each scalar alpha defining an
          eigenvalue of GNEP.
          If ALPHAI(j) is zero, then the j-th eigenvalue is real; if
          positive, then the j-th and (j+1)-st eigenvalues are a
          complex conjugate pair, with ALPHAI(j+1) = -ALPHAI(j).
[out]BETA
          BETA is DOUBLE PRECISION array, dimension (N)
          The scalars beta that define the eigenvalues of GNEP.
          Together, the quantities alpha = (ALPHAR(j),ALPHAI(j)) and
          beta = BETA(j) represent the j-th eigenvalue of the matrix
          pair (A,B), in one of the forms lambda = alpha/beta or
          mu = beta/alpha.  Since either lambda or mu may overflow,
          they should not, in general, be computed.
[in,out]QC
          QC is DOUBLE PRECISION array, dimension (LDQC, NW)
[in]LDQC
          LDQC is INTEGER
[in,out]ZC
          ZC is DOUBLE PRECISION array, dimension (LDZC, NW)
[in]LDZC
          LDZ is INTEGER
[out]WORK
          WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK))
          On exit, if INFO >= 0, WORK(1) returns the optimal LWORK.
[in]LWORK
          LWORK is INTEGER
          The dimension of the array WORK.  LWORK >= max(1,N).

          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.
[in]REC
          REC is INTEGER
             REC indicates the current recursion level. Should be set
             to 0 on first call.
[out]INFO
          INFO is INTEGER
          = 0: successful exit
          < 0: if INFO = -i, the i-th argument had an illegal value
Author
Thijs Steel, KU Leuven
Date
May 2020