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).

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

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

A

          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

          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

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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

 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.

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

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

A

          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

          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

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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

 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.

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

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

A

          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

          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

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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

 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).

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

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

A

          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

          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

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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