syconvf_rook(3)

Library Functions Manual

syconvf_rook(3)

NAME

syconvf_rook - syconvf_rook: convert to/from hetrf_rook to hetrf_rk format

SYNOPSIS

Functions

subroutine csyconvf_rook (uplo, way, n, a, lda, e, ipiv, info)
CSYCONVF_ROOK subroutine dsyconvf_rook (uplo, way, n, a, lda, e, ipiv, info)
DSYCONVF_ROOK subroutine ssyconvf_rook (uplo, way, n, a, lda, e, ipiv, info)
SSYCONVF_ROOK subroutine zsyconvf_rook (uplo, way, n, a, lda, e, ipiv, info)
ZSYCONVF_ROOK

Detailed Description

Function Documentation

subroutine csyconvf_rook (character uplo, character way, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) e, integer, dimension( * ) ipiv, integer info)

CSYCONVF_ROOK

Purpose:

!> If parameter WAY = 'C':
!> CSYCONVF_ROOK converts the factorization output format used in
!> CSYTRF_ROOK provided on entry in parameter A into the factorization
!> output format used in CSYTRF_RK (or CSYTRF_BK) that is stored
!> on exit in parameters A and E. IPIV format for CSYTRF_ROOK and
!> CSYTRF_RK (or CSYTRF_BK) is the same and is not converted.
!>
!> If parameter WAY = 'R':
!> CSYCONVF_ROOK performs the conversion in reverse direction, i.e.
!> converts the factorization output format used in CSYTRF_RK
!> (or CSYTRF_BK) provided on entry in parameters A and E into
!> the factorization output format used in CSYTRF_ROOK that is stored
!> on exit in parameter A. IPIV format for CSYTRF_ROOK and
!> CSYTRF_RK (or CSYTRF_BK) is the same and is not converted.
!>
!> CSYCONVF_ROOK can also convert in Hermitian matrix case, i.e. between
!> formats used in CHETRF_ROOK and CHETRF_RK (or CHETRF_BK).
!>

Parameters

UPLO

!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are
!>          stored as an upper or lower triangular matrix A.
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

WAY

!>          WAY is CHARACTER*1
!>          = 'C': Convert
!>          = 'R': Revert
!>

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!>

!>          A is COMPLEX array, dimension (LDA,N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, contains factorization details in format used in
!>          CSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          CSYTRF_RK or CSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains factorization details in format used in
!>          CSYTRF_RK or CSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          CSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

!>          E is COMPLEX array, dimension (N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, just a workspace.
!>
!>          On exit, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0;
!>          If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced;
!>          If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced.
!>
!>          On exit, is not changed
!>

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          On entry, details of the interchanges and the block
!>          structure of D as determined:
!>          1) by CSYTRF_ROOK, if WAY ='C';
!>          2) by CSYTRF_RK (or CSYTRF_BK), if WAY ='R'.
!>          The IPIV format is the same for all these routines.
!>
!>          On exit, is not changed.
!>

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Contributors:

!>
!>  November 2017,  Igor Kozachenko,
!>                  Computer Science Division,
!>                  University of California, Berkeley
!>
!>

Definition at line 199 of file csyconvf_rook.f.

subroutine dsyconvf_rook (character uplo, character way, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) e, integer, dimension( * ) ipiv, integer info)

DSYCONVF_ROOK

Purpose:

!> If parameter WAY = 'C':
!> DSYCONVF_ROOK converts the factorization output format used in
!> DSYTRF_ROOK provided on entry in parameter A into the factorization
!> output format used in DSYTRF_RK (or DSYTRF_BK) that is stored
!> on exit in parameters A and E. IPIV format for DSYTRF_ROOK and
!> DSYTRF_RK (or DSYTRF_BK) is the same and is not converted.
!>
!> If parameter WAY = 'R':
!> DSYCONVF_ROOK performs the conversion in reverse direction, i.e.
!> converts the factorization output format used in DSYTRF_RK
!> (or DSYTRF_BK) provided on entry in parameters A and E into
!> the factorization output format used in DSYTRF_ROOK that is stored
!> on exit in parameter A. IPIV format for DSYTRF_ROOK and
!> DSYTRF_RK (or DSYTRF_BK) is the same and is not converted.
!>

Parameters

UPLO

!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are
!>          stored as an upper or lower triangular matrix A.
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

WAY

!>          WAY is CHARACTER*1
!>          = 'C': Convert
!>          = 'R': Revert
!>

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!>

!>          A is DOUBLE PRECISION array, dimension (LDA,N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, contains factorization details in format used in
!>          DSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          DSYTRF_RK or DSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains factorization details in format used in
!>          DSYTRF_RK or DSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          DSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

!>          E is DOUBLE PRECISION array, dimension (N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, just a workspace.
!>
!>          On exit, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0;
!>          If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced;
!>          If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced.
!>
!>          On exit, is not changed
!>

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          On entry, details of the interchanges and the block
!>          structure of D as determined:
!>          1) by DSYTRF_ROOK, if WAY ='C';
!>          2) by DSYTRF_RK (or DSYTRF_BK), if WAY ='R'.
!>          The IPIV format is the same for all these routines.
!>
!>          On exit, is not changed.
!>

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Contributors:

!>
!>  November 2017,  Igor Kozachenko,
!>                  Computer Science Division,
!>                  University of California, Berkeley
!>
!>

Definition at line 196 of file dsyconvf_rook.f.

subroutine ssyconvf_rook (character uplo, character way, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) e, integer, dimension( * ) ipiv, integer info)

SSYCONVF_ROOK

Purpose:

!> If parameter WAY = 'C':
!> SSYCONVF_ROOK converts the factorization output format used in
!> SSYTRF_ROOK provided on entry in parameter A into the factorization
!> output format used in SSYTRF_RK (or SSYTRF_BK) that is stored
!> on exit in parameters A and E. IPIV format for SSYTRF_ROOK and
!> SSYTRF_RK (or SSYTRF_BK) is the same and is not converted.
!>
!> If parameter WAY = 'R':
!> SSYCONVF_ROOK performs the conversion in reverse direction, i.e.
!> converts the factorization output format used in SSYTRF_RK
!> (or SSYTRF_BK) provided on entry in parameters A and E into
!> the factorization output format used in SSYTRF_ROOK that is stored
!> on exit in parameter A. IPIV format for SSYTRF_ROOK and
!> SSYTRF_RK (or SSYTRF_BK) is the same and is not converted.
!>

Parameters

UPLO

!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are
!>          stored as an upper or lower triangular matrix A.
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

WAY

!>          WAY is CHARACTER*1
!>          = 'C': Convert
!>          = 'R': Revert
!>

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!>

!>          A is REAL array, dimension (LDA,N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, contains factorization details in format used in
!>          SSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          SSYTRF_RK or SSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains factorization details in format used in
!>          SSYTRF_RK or SSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          SSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

!>          E is REAL array, dimension (N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, just a workspace.
!>
!>          On exit, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0;
!>          If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced;
!>          If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced.
!>
!>          On exit, is not changed
!>

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          On entry, details of the interchanges and the block
!>          structure of D as determined:
!>          1) by SSYTRF_ROOK, if WAY ='C';
!>          2) by SSYTRF_RK (or SSYTRF_BK), if WAY ='R'.
!>          The IPIV format is the same for all these routines.
!>
!>          On exit, is not changed.
!>

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Contributors:

!>
!>  November 2017,  Igor Kozachenko,
!>                  Computer Science Division,
!>                  University of California, Berkeley
!>
!>

Definition at line 196 of file ssyconvf_rook.f.

subroutine zsyconvf_rook (character uplo, character way, integer n, complex16, dimension( lda, ) a, integer lda, complex16, dimension( ) e, integer, dimension( * ) ipiv, integer info)

ZSYCONVF_ROOK

Purpose:

!> If parameter WAY = 'C':
!> ZSYCONVF_ROOK converts the factorization output format used in
!> ZSYTRF_ROOK provided on entry in parameter A into the factorization
!> output format used in ZSYTRF_RK (or ZSYTRF_BK) that is stored
!> on exit in parameters A and E. IPIV format for ZSYTRF_ROOK and
!> ZSYTRF_RK (or ZSYTRF_BK) is the same and is not converted.
!>
!> If parameter WAY = 'R':
!> ZSYCONVF_ROOK performs the conversion in reverse direction, i.e.
!> converts the factorization output format used in ZSYTRF_RK
!> (or ZSYTRF_BK) provided on entry in parameters A and E into
!> the factorization output format used in ZSYTRF_ROOK that is stored
!> on exit in parameter A. IPIV format for ZSYTRF_ROOK and
!> ZSYTRF_RK (or ZSYTRF_BK) is the same and is not converted.
!>
!> ZSYCONVF_ROOK can also convert in Hermitian matrix case, i.e. between
!> formats used in ZHETRF_ROOK and ZHETRF_RK (or ZHETRF_BK).
!>

Parameters

UPLO

!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are
!>          stored as an upper or lower triangular matrix A.
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

WAY

!>          WAY is CHARACTER*1
!>          = 'C': Convert
!>          = 'R': Revert
!>

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!>

!>          A is COMPLEX*16 array, dimension (LDA,N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, contains factorization details in format used in
!>          ZSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          ZSYTRF_RK or ZSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains factorization details in format used in
!>          ZSYTRF_RK or ZSYTRF_BK:
!>            a) ONLY diagonal elements of the symmetric block diagonal
!>               matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
!>               (superdiagonal (or subdiagonal) elements of D
!>                are stored on exit in array E), and
!>            b) If UPLO = 'U': factor U in the superdiagonal part of A.
!>               If UPLO = 'L': factor L in the subdiagonal part of A.
!>
!>          On exit, contains factorization details in format used in
!>          ZSYTRF_ROOK:
!>            a) all elements of the symmetric block diagonal
!>               matrix D on the diagonal of A and on superdiagonal
!>               (or subdiagonal) of A, and
!>            b) If UPLO = 'U': multipliers used to obtain factor U
!>               in the superdiagonal part of A.
!>               If UPLO = 'L': multipliers used to obtain factor L
!>               in the superdiagonal part of A.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

!>          E is COMPLEX*16 array, dimension (N)
!>
!>          1) If WAY ='C':
!>
!>          On entry, just a workspace.
!>
!>          On exit, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0;
!>          If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0.
!>
!>          2) If WAY = 'R':
!>
!>          On entry, contains the superdiagonal (or subdiagonal)
!>          elements of the symmetric block diagonal matrix D
!>          with 1-by-1 or 2-by-2 diagonal blocks, where
!>          If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced;
!>          If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced.
!>
!>          On exit, is not changed
!>

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          On entry, details of the interchanges and the block
!>          structure of D as determined:
!>          1) by ZSYTRF_ROOK, if WAY ='C';
!>          2) by ZSYTRF_RK (or ZSYTRF_BK), if WAY ='R'.
!>          The IPIV format is the same for all these routines.
!>
!>          On exit, is not changed.
!>

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Contributors:

!>
!>  November 2017,  Igor Kozachenko,
!>                  Computer Science Division,
!>                  University of California, Berkeley
!>
!>

Definition at line 199 of file zsyconvf_rook.f.

Author

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