.TH "heswapr" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
heswapr \- {he,sy}swapr: apply 2-sided permutation
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "subroutine \fBcheswapr\fP (uplo, n, a, lda, i1, i2)"
.br
.RI "\fBCHESWAPR\fP applies an elementary permutation on the rows and columns of a Hermitian matrix\&. "
.ti -1c
.RI "subroutine \fBcsyswapr\fP (uplo, n, a, lda, i1, i2)"
.br
.RI "\fBCSYSWAPR\fP "
.ti -1c
.RI "subroutine \fBdsyswapr\fP (uplo, n, a, lda, i1, i2)"
.br
.RI "\fBDSYSWAPR\fP applies an elementary permutation on the rows and columns of a symmetric matrix\&. "
.ti -1c
.RI "subroutine \fBssyswapr\fP (uplo, n, a, lda, i1, i2)"
.br
.RI "\fBSSYSWAPR\fP applies an elementary permutation on the rows and columns of a symmetric matrix\&. "
.ti -1c
.RI "subroutine \fBzheswapr\fP (uplo, n, a, lda, i1, i2)"
.br
.RI "\fBZHESWAPR\fP applies an elementary permutation on the rows and columns of a Hermitian matrix\&. "
.ti -1c
.RI "subroutine \fBzsyswapr\fP (uplo, n, a, lda, i1, i2)"
.br
.RI "\fBZSYSWAPR\fP "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "subroutine cheswapr (character uplo, integer n, complex, dimension( lda, n ) a, integer lda, integer i1, integer i2)"

.PP
\fBCHESWAPR\fP applies an elementary permutation on the rows and columns of a Hermitian matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> CHESWAPR applies an elementary permutation on the rows and the columns of
!> a hermitian matrix\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are stored
!>          as an upper or lower triangular matrix\&.
!>          = 'U':  Upper triangular, form is A = U*D*U**T;
!>          = 'L':  Lower triangular, form is A = L*D*L**T\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX array, dimension (LDA,N)
!>          On entry, the NB diagonal matrix D and the multipliers
!>          used to obtain the factor U or L as computed by CSYTRF\&.
!>
!>          On exit, if INFO = 0, the (symmetric) inverse of the original
!>          matrix\&.  If UPLO = 'U', the upper triangular part of the
!>          inverse is formed and the part of A below the diagonal is not
!>          referenced; if UPLO = 'L' the lower triangular part of the
!>          inverse is formed and the part of A above the diagonal is
!>          not referenced\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
!> 
.fi
.PP
.br
\fII1\fP 
.PP
.nf
!>          I1 is INTEGER
!>          Index of the first row to swap
!> 
.fi
.PP
.br
\fII2\fP 
.PP
.nf
!>          I2 is INTEGER
!>          Index of the second row to swap
!> 
.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

.PP
Definition at line \fB101\fP of file \fBcheswapr\&.f\fP\&.
.SS "subroutine csyswapr (character uplo, integer n, complex, dimension( lda, n ) a, integer lda, integer i1, integer i2)"

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

.PP
.nf
!>
!> CSYSWAPR applies an elementary permutation on the rows and the columns of
!> a symmetric matrix\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are stored
!>          as an upper or lower triangular matrix\&.
!>          = 'U':  Upper triangular, form is A = U*D*U**T;
!>          = 'L':  Lower triangular, form is A = L*D*L**T\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX array, dimension (LDA,N)
!>          On entry, the N-by-N matrix A\&. On exit, the permuted matrix
!>          where the rows I1 and I2 and columns I1 and I2 are interchanged\&.
!>          If UPLO = 'U', the interchanges are applied to the upper
!>          triangular part and the strictly lower triangular part of A is
!>          not referenced; if UPLO = 'L', the interchanges are applied to
!>          the lower triangular part and the part of A above the diagonal
!>          is not referenced\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
!> 
.fi
.PP
.br
\fII1\fP 
.PP
.nf
!>          I1 is INTEGER
!>          Index of the first row to swap
!> 
.fi
.PP
.br
\fII2\fP 
.PP
.nf
!>          I2 is INTEGER
!>          Index of the second row to swap
!> 
.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

.PP
Definition at line \fB99\fP of file \fBcsyswapr\&.f\fP\&.
.SS "subroutine dsyswapr (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, integer i1, integer i2)"

.PP
\fBDSYSWAPR\fP applies an elementary permutation on the rows and columns of a symmetric matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> DSYSWAPR applies an elementary permutation on the rows and the columns of
!> a symmetric matrix\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are stored
!>          as an upper or lower triangular matrix\&.
!>          = 'U':  Upper triangular, form is A = U*D*U**T;
!>          = 'L':  Lower triangular, form is A = L*D*L**T\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is DOUBLE PRECISION array, dimension (LDA,*)
!>          On entry, the N-by-N matrix A\&. On exit, the permuted matrix
!>          where the rows I1 and I2 and columns I1 and I2 are interchanged\&.
!>          If UPLO = 'U', the interchanges are applied to the upper
!>          triangular part and the strictly lower triangular part of A is
!>          not referenced; if UPLO = 'L', the interchanges are applied to
!>          the lower triangular part and the part of A above the diagonal
!>          is not referenced\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
!> 
.fi
.PP
.br
\fII1\fP 
.PP
.nf
!>          I1 is INTEGER
!>          Index of the first row to swap
!> 
.fi
.PP
.br
\fII2\fP 
.PP
.nf
!>          I2 is INTEGER
!>          Index of the second row to swap
!> 
.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

.PP
Definition at line \fB99\fP of file \fBdsyswapr\&.f\fP\&.
.SS "subroutine ssyswapr (character uplo, integer n, real, dimension( lda, * ) a, integer lda, integer i1, integer i2)"

.PP
\fBSSYSWAPR\fP applies an elementary permutation on the rows and columns of a symmetric matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> SSYSWAPR applies an elementary permutation on the rows and the columns of
!> a symmetric matrix\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are stored
!>          as an upper or lower triangular matrix\&.
!>          = 'U':  Upper triangular, form is A = U*D*U**T;
!>          = 'L':  Lower triangular, form is A = L*D*L**T\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is REAL array, dimension (LDA,*)
!>          On entry, the N-by-N matrix A\&. On exit, the permuted matrix
!>          where the rows I1 and I2 and columns I1 and I2 are interchanged\&.
!>          If UPLO = 'U', the interchanges are applied to the upper
!>          triangular part and the strictly lower triangular part of A is
!>          not referenced; if UPLO = 'L', the interchanges are applied to
!>          the lower triangular part and the part of A above the diagonal
!>          is not referenced\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
!> 
.fi
.PP
.br
\fII1\fP 
.PP
.nf
!>          I1 is INTEGER
!>          Index of the first row to swap
!> 
.fi
.PP
.br
\fII2\fP 
.PP
.nf
!>          I2 is INTEGER
!>          Index of the second row to swap
!> 
.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

.PP
Definition at line \fB99\fP of file \fBssyswapr\&.f\fP\&.
.SS "subroutine zheswapr (character uplo, integer n, complex*16, dimension( lda, n ) a, integer lda, integer i1, integer i2)"

.PP
\fBZHESWAPR\fP applies an elementary permutation on the rows and columns of a Hermitian matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> ZHESWAPR applies an elementary permutation on the rows and the columns of
!> a hermitian matrix\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are stored
!>          as an upper or lower triangular matrix\&.
!>          = 'U':  Upper triangular, form is A = U*D*U**T;
!>          = 'L':  Lower triangular, form is A = L*D*L**T\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          On entry, the NB diagonal matrix D and the multipliers
!>          used to obtain the factor U or L as computed by CSYTRF\&.
!>
!>          On exit, if INFO = 0, the (symmetric) inverse of the original
!>          matrix\&.  If UPLO = 'U', the upper triangular part of the
!>          inverse is formed and the part of A below the diagonal is not
!>          referenced; if UPLO = 'L' the lower triangular part of the
!>          inverse is formed and the part of A above the diagonal is
!>          not referenced\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
!> 
.fi
.PP
.br
\fII1\fP 
.PP
.nf
!>          I1 is INTEGER
!>          Index of the first row to swap
!> 
.fi
.PP
.br
\fII2\fP 
.PP
.nf
!>          I2 is INTEGER
!>          Index of the second row to swap
!> 
.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

.PP
Definition at line \fB101\fP of file \fBzheswapr\&.f\fP\&.
.SS "subroutine zsyswapr (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, integer i1, integer i2)"

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

.PP
.nf
!>
!> ZSYSWAPR applies an elementary permutation on the rows and the columns of
!> a symmetric matrix\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are stored
!>          as an upper or lower triangular matrix\&.
!>          = 'U':  Upper triangular, form is A = U*D*U**T;
!>          = 'L':  Lower triangular, form is A = L*D*L**T\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX*16 array, dimension (LDA,*)
!>          On entry, the N-by-N matrix A\&. On exit, the permuted matrix
!>          where the rows I1 and I2 and columns I1 and I2 are interchanged\&.
!>          If UPLO = 'U', the interchanges are applied to the upper
!>          triangular part and the strictly lower triangular part of A is
!>          not referenced; if UPLO = 'L', the interchanges are applied to
!>          the lower triangular part and the part of A above the diagonal
!>          is not referenced\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
!> 
.fi
.PP
.br
\fII1\fP 
.PP
.nf
!>          I1 is INTEGER
!>          Index of the first row to swap
!> 
.fi
.PP
.br
\fII2\fP 
.PP
.nf
!>          I2 is INTEGER
!>          Index of the second row to swap
!> 
.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

.PP
Definition at line \fB99\fP of file \fBzsyswapr\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.