.TH "larrc" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
larrc \- larrc: step in stemr
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "subroutine \fBdlarrc\fP (jobt, n, vl, vu, d, e, pivmin, eigcnt, lcnt, rcnt, info)"
.br
.RI "\fBDLARRC\fP computes the number of eigenvalues of the symmetric tridiagonal matrix\&. "
.ti -1c
.RI "subroutine \fBslarrc\fP (jobt, n, vl, vu, d, e, pivmin, eigcnt, lcnt, rcnt, info)"
.br
.RI "\fBSLARRC\fP computes the number of eigenvalues of the symmetric tridiagonal matrix\&. "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "subroutine dlarrc (character jobt, integer n, double precision vl, double precision vu, double precision, dimension( * ) d, double precision, dimension( * ) e, double precision pivmin, integer eigcnt, integer lcnt, integer rcnt, integer info)"

.PP
\fBDLARRC\fP computes the number of eigenvalues of the symmetric tridiagonal matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 Find the number of eigenvalues of the symmetric tridiagonal matrix T
 that are in the interval (VL,VU] if JOBT = 'T', and of L D L^T
 if JOBT = 'L'\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIJOBT\fP 
.PP
.nf
          JOBT is CHARACTER*1
          = 'T':  Compute Sturm count for matrix T\&.
          = 'L':  Compute Sturm count for matrix L D L^T\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The order of the matrix\&. N > 0\&.
.fi
.PP
.br
\fIVL\fP 
.PP
.nf
          VL is DOUBLE PRECISION
          The lower bound for the eigenvalues\&.
.fi
.PP
.br
\fIVU\fP 
.PP
.nf
          VU is DOUBLE PRECISION
          The upper bound for the eigenvalues\&.
.fi
.PP
.br
\fID\fP 
.PP
.nf
          D is DOUBLE PRECISION array, dimension (N)
          JOBT = 'T': The N diagonal elements of the tridiagonal matrix T\&.
          JOBT = 'L': The N diagonal elements of the diagonal matrix D\&.
.fi
.PP
.br
\fIE\fP 
.PP
.nf
          E is DOUBLE PRECISION array, dimension (N)
          JOBT = 'T': The N-1 offdiagonal elements of the matrix T\&.
          JOBT = 'L': The N-1 offdiagonal elements of the matrix L\&.
.fi
.PP
.br
\fIPIVMIN\fP 
.PP
.nf
          PIVMIN is DOUBLE PRECISION
          The minimum pivot in the Sturm sequence for T\&.
.fi
.PP
.br
\fIEIGCNT\fP 
.PP
.nf
          EIGCNT is INTEGER
          The number of eigenvalues of the symmetric tridiagonal matrix T
          that are in the interval (VL,VU]
.fi
.PP
.br
\fILCNT\fP 
.PP
.nf
          LCNT is INTEGER
.fi
.PP
.br
\fIRCNT\fP 
.PP
.nf
          RCNT is INTEGER
          The left and right negcounts of the interval\&.
.fi
.PP
.br
\fIINFO\fP 
.PP
.nf
          INFO is INTEGER
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBContributors:\fP
.RS 4
Beresford Parlett, University of California, Berkeley, USA 
.br
 Jim Demmel, University of California, Berkeley, USA 
.br
 Inderjit Dhillon, University of Texas, Austin, USA 
.br
 Osni Marques, LBNL/NERSC, USA 
.br
 Christof Voemel, University of California, Berkeley, USA 
.RE
.PP

.SS "subroutine slarrc (character jobt, integer n, real vl, real vu, real, dimension( * ) d, real, dimension( * ) e, real pivmin, integer eigcnt, integer lcnt, integer rcnt, integer info)"

.PP
\fBSLARRC\fP computes the number of eigenvalues of the symmetric tridiagonal matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 Find the number of eigenvalues of the symmetric tridiagonal matrix T
 that are in the interval (VL,VU] if JOBT = 'T', and of L D L^T
 if JOBT = 'L'\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIJOBT\fP 
.PP
.nf
          JOBT is CHARACTER*1
          = 'T':  Compute Sturm count for matrix T\&.
          = 'L':  Compute Sturm count for matrix L D L^T\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The order of the matrix\&. N > 0\&.
.fi
.PP
.br
\fIVL\fP 
.PP
.nf
          VL is REAL
          The lower bound for the eigenvalues\&.
.fi
.PP
.br
\fIVU\fP 
.PP
.nf
          VU is REAL
          The upper bound for the eigenvalues\&.
.fi
.PP
.br
\fID\fP 
.PP
.nf
          D is REAL array, dimension (N)
          JOBT = 'T': The N diagonal elements of the tridiagonal matrix T\&.
          JOBT = 'L': The N diagonal elements of the diagonal matrix D\&.
.fi
.PP
.br
\fIE\fP 
.PP
.nf
          E is REAL array, dimension (N)
          JOBT = 'T': The N-1 offdiagonal elements of the matrix T\&.
          JOBT = 'L': The N-1 offdiagonal elements of the matrix L\&.
.fi
.PP
.br
\fIPIVMIN\fP 
.PP
.nf
          PIVMIN is REAL
          The minimum pivot in the Sturm sequence for T\&.
.fi
.PP
.br
\fIEIGCNT\fP 
.PP
.nf
          EIGCNT is INTEGER
          The number of eigenvalues of the symmetric tridiagonal matrix T
          that are in the interval (VL,VU]
.fi
.PP
.br
\fILCNT\fP 
.PP
.nf
          LCNT is INTEGER
.fi
.PP
.br
\fIRCNT\fP 
.PP
.nf
          RCNT is INTEGER
          The left and right negcounts of the interval\&.
.fi
.PP
.br
\fIINFO\fP 
.PP
.nf
          INFO is INTEGER
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBContributors:\fP
.RS 4
Beresford Parlett, University of California, Berkeley, USA 
.br
 Jim Demmel, University of California, Berkeley, USA 
.br
 Inderjit Dhillon, University of Texas, Austin, USA 
.br
 Osni Marques, LBNL/NERSC, USA 
.br
 Christof Voemel, University of California, Berkeley, USA 
.RE
.PP

.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.