If parameter WAY = 'C':


 CSYCONVF converts the factorization output format used in


 CSYTRF 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. It also coverts in place details of


 the intechanges stored in IPIV from the format used in CSYTRF into


 the format used in CSYTRF_RK (or CSYTRF_BK).


 If parameter WAY = 'R':


 CSYCONVF 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 that is stored


 on exit in parameter A. It also coverts in place details of


 the intechanges stored in IPIV from the format used in CSYTRF_RK


 (or CSYTRF_BK) into the format used in CSYTRF.


 CSYCONVF can also convert in Hermitian matrix case, i.e. between


 formats used in CHETRF 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:


            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:


            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)


          1) If WAY ='C':


          On entry, details of the interchanges and the block


          structure of D in the format used in CSYTRF.


          On exit, details of the interchanges and the block


          structure of D in the format used in CSYTRF_RK


          ( or CSYTRF_BK).


          1) If WAY ='R':


          On entry, details of the interchanges and the block


          structure of D in the format used in CSYTRF_RK


          ( or CSYTRF_BK).


          On exit, details of the interchanges and the block


          structure of D in the format used in CSYTRF.

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

  November 2017,  Igor Kozachenko,


                  Computer Science Division,


                  University of California, Berkeley