PLASMA_zcgels PLASMA_zcgesv PLASMA_zcposv PLASMA_zcungesv PLASMA_zgebrd PLASMA_zgelqf PLASMA_zgelqs PLASMA_zgels PLASMA_zgemm PLASMA_zgeqrf PLASMA_zgeqrs PLASMA_zgesv PLASMA_zgesv_incpiv PLASMA_zgesvd PLASMA_zgetrf PLASMA_zgetrf_incpiv PLASMA_zgetri PLASMA_zgetrs PLASMA_zgetrs_incpiv PLASMA_zheev PLASMA_zheevd PLASMA_zhegst PLASMA_zhegv PLASMA_zhegvd PLASMA_zhemm PLASMA_zher2k PLASMA_zherk PLASMA_zhetrd PLASMA_zlacpy PLASMA_zlange PLASMA_zlanhe PLASMA_zlansy PLASMA_zLapack_to_Tile PLASMA_zlaset PLASMA_zlaswp PLASMA_zlaswpc PLASMA_zlauum PLASMA_zplghe PLASMA_zplgsy PLASMA_zplrnt PLASMA_zposv PLASMA_zpotrf PLASMA_zpotri PLASMA_zpotrs PLASMA_zsymm PLASMA_zsyr2k PLASMA_zsyrk PLASMA_zTile_to_Lapack PLASMA_ztrmm PLASMA_ztrsm PLASMA_ztrsmpl PLASMA_ztrsmrv PLASMA_ztrtri PLASMA_zunglq PLASMA_zungqr PLASMA_zunmlq PLASMA_zunmqr

int PLASMA_zhetrd ( PLASMA_enum  jobz, PLASMA_enum  uplo, int  N, PLASMA_Complex64_t *  A, int  LDA, double *  D, double *  E, PLASMA_desc *  descT, PLASMA_Complex64_t *  Q, int  LDQ  ) PLASMA_zhetrd - reduces a complex Hermitian matrix A to real symmetric tridiagonal form S using a two-stage approach First stage: reduction to band tridiagonal form (unitary Q1); Second stage: reduction from band to tridiagonal form (unitary Q2). Let Q = Q1 * Q2 be the global unitary transformation; Q**H * A * Q = S. Parameters [in] jobz Intended usage: = PlasmaNoVec: computes tridiagonal only; = PlasmaVec: computes tridiagonal and generate the orthogonal matrix Q. [in] uplo Specifies whether the matrix A is upper triangular or lower triangular: = PlasmaUpper: Upper triangle of A is stored; = PlasmaLower: Lower triangle of A is stored. [in] N The order of the matrix A. N >= 0. [in,out] A On entry, the symmetric (or Hermitian) matrix A. If uplo = PlasmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If uplo = PlasmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the lower triangle (if uplo = PlasmaLower) or the upper triangle (if uplo = PlasmaUpper) of A, including the diagonal, is destroyed. [in] LDA The leading dimension of the array A. LDA >= max(1,N). [out] D On exit, the diagonal elements of the tridiagonal matrix: D(i) = A(i,i). [out] E On exit, he off-diagonal elements of the tridiagonal matrix: E(i) = A(i,i+1) if uplo = PlasmaUpper, E(i) = A(i+1,i) if uplo = PlasmaLower. [out] descT On entry, descriptor as return by PLASMA_Alloc_Workspace_zhetrd On exit, contains auxiliary factorization data. [out] Q On exit, if jobz = PlasmaVec, then if return value = 0, Q contains the N-by-N unitary matrix Q. If jobz = PlasmaNoVec, then it is not referenced. [in] LDQ The leading dimension of the array Q. LDQ >= N. Returns Return values PLASMA_SUCCESS successful exit <0 if -i, the i-th argument had an illegal value >0 if INFO = i, the algorithm failed to converge; i off-diagonal elements of an intermediate tridiagonal form did not converge to zero. See Also PLASMA_zhetrd_Tile PLASMA_zhetrd_Tile_Async PLASMA_chetrd PLASMA_dsytrd PLASMA_ssytrd