.TH "SRC/slaqz3.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/slaqz3.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "recursive subroutine \fBslaqz3\fP (ilschur, ilq, ilz, n, ilo, ihi, nw, a, lda, b, ldb, q, ldq, z, ldz, ns, nd, alphar, alphai, beta, qc, ldqc, zc, ldzc, work, lwork, rec, info)"
.br
.RI "\fBSLAQZ3\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "recursive subroutine slaqz3 (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, real, dimension( lda, * ), intent(inout) a, integer, intent(in) lda, real, dimension( ldb, * ), intent(inout) b, integer, intent(in) ldb, real, dimension( ldq, * ), intent(inout) q, integer, intent(in) ldq, real, dimension( ldz, * ), intent(inout) z, integer, intent(in) ldz, integer, intent(out) ns, integer, intent(out) nd, real, dimension( * ), intent(inout) alphar, real, dimension( * ), intent(inout) alphai, real, dimension( * ), intent(inout) beta, real, dimension( ldqc, * ) qc, integer, intent(in) ldqc, real, dimension( ldzc, * ) zc, integer, intent(in) ldzc, real, dimension( * ) work, integer, intent(in) lwork, integer, intent(in) rec, integer, intent(out) info)"

.PP
\fBSLAQZ3\fP  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 SLAQZ3 performs AED
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIILSCHUR\fP 
.PP
.nf
          ILSCHUR is LOGICAL
              Determines whether or not to update the full Schur form
.fi
.PP
 
.br
\fIILQ\fP 
.PP
.nf
          ILQ is LOGICAL
              Determines whether or not to update the matrix Q
.fi
.PP
.br
\fIILZ\fP 
.PP
.nf
          ILZ is LOGICAL
              Determines whether or not to update the matrix Z
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The order of the matrices A, B, Q, and Z\&.  N >= 0\&.
.fi
.PP
.br
\fIILO\fP 
.PP
.nf
          ILO is INTEGER
.fi
.PP
.br
\fIIHI\fP 
.PP
.nf
          IHI is INTEGER
          ILO and IHI mark the rows and columns of (A,B) which
          are to be normalized
.fi
.PP
.br
\fINW\fP 
.PP
.nf
          NW is INTEGER
          The desired size of the deflation window\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is REAL array, dimension (LDA, N)
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max( 1, N )\&.
.fi
.PP
.br
\fIB\fP 
.PP
.nf
          B is REAL array, dimension (LDB, N)
.fi
.PP
.br
\fILDB\fP 
.PP
.nf
          LDB is INTEGER
          The leading dimension of the array B\&.  LDB >= max( 1, N )\&.
.fi
.PP
.br
\fIQ\fP 
.PP
.nf
          Q is REAL array, dimension (LDQ, N)
.fi
.PP
.br
\fILDQ\fP 
.PP
.nf
          LDQ is INTEGER
.fi
.PP
.br
\fIZ\fP 
.PP
.nf
          Z is REAL array, dimension (LDZ, N)
.fi
.PP
.br
\fILDZ\fP 
.PP
.nf
          LDZ is INTEGER
.fi
.PP
.br
\fINS\fP 
.PP
.nf
          NS is INTEGER
          The number of unconverged eigenvalues available to
          use as shifts\&.
.fi
.PP
.br
\fIND\fP 
.PP
.nf
          ND is INTEGER
          The number of converged eigenvalues found\&.
.fi
.PP
.br
\fIALPHAR\fP 
.PP
.nf
          ALPHAR is REAL array, dimension (N)
          The real parts of each scalar alpha defining an eigenvalue
          of GNEP\&.
.fi
.PP
.br
\fIALPHAI\fP 
.PP
.nf
          ALPHAI is REAL 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)\&.
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is REAL 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\&.
.fi
.PP
.br
\fIQC\fP 
.PP
.nf
          QC is REAL array, dimension (LDQC, NW)
.fi
.PP
.br
\fILDQC\fP 
.PP
.nf
          LDQC is INTEGER
.fi
.PP
.br
\fIZC\fP 
.PP
.nf
          ZC is REAL array, dimension (LDZC, NW)
.fi
.PP
.br
\fILDZC\fP 
.PP
.nf
          LDZ is INTEGER
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
          WORK is REAL array, dimension (MAX(1,LWORK))
          On exit, if INFO >= 0, WORK(1) returns the optimal LWORK\&.
.fi
.PP
.br
\fILWORK\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIREC\fP 
.PP
.nf
          REC is INTEGER
             REC indicates the current recursion level\&. Should be set
             to 0 on first call\&.
.fi
.PP
.br
\fIINFO\fP 
.PP
.nf
          INFO is INTEGER
          = 0: successful exit
          < 0: if INFO = -i, the i-th argument had an illegal value
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Thijs Steel, KU Leuven 
.RE
.PP
\fBDate\fP
.RS 4
May 2020 
.RE
.PP

.PP
Definition at line \fB234\fP of file \fBslaqz3\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.