SRC/zsytrs_aa.f(3)

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okay so bestie, welcome to SRC/zsytrs_aa.f(3) — that's the file, and the manual name is Library Functions Manual 🫶. This page is giving very specific LAPACK subroutine energy, and we're gonna get through every single detail together, no cap.

🎀 NAME 🎀

SRC/zsytrs_aa.f

✨ SYNOPSIS ✨

🌸 Functions/Subroutines 🌸

       subroutine zsytrs_aa (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork,
           info)
           ZSYTRS_AA

🦋 Function/Subroutine Documentation 🦋

Here's the full signature, character for character, because we respect the code:

   subroutine zsytrs_aa (character uplo, integer n, integer nrhs, complex*16,
       dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,
       complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension( *
       ) work, integer lwork, integer info)
       ZSYTRS_AA

💖 Purpose 💖

Okay so ZSYTRS_AA solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by ZSYTRF_AA. That's the whole glow-up ✨.

🌈 Parameters 🌈

  • UPLO — this one is CHARACTER*1, and it specifies whether the details of the factorization are stored as an upper or lower triangular matrix. The values are:
    • 'U': upper triangular, form is A = U**T*T*U;
    • 'L': lower triangular, form is A = L*T*L**T.
  • N — INTEGER. The order of the matrix A. Constraint: N >= 0.
  • NRHS — INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. Constraint: NRHS >= 0.
  • A — COMPLEX*16 array, dimension (LDA,N). Details of factors computed by ZSYTRF_AA.
  • LDA — INTEGER. The leading dimension of the array A. Constraint: LDA >= max(1,N).
  • IPIV — INTEGER array, dimension (N). Details of the interchanges as computed by ZSYTRF_AA.
  • B — COMPLEX*16 array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X.
  • LDB — INTEGER. The leading dimension of the array B. Constraint: LDB >= max(1,N).
  • WORK — COMPLEX*16 array, dimension (MAX(1,LWORK)).
  • LWORK — INTEGER. The dimension of the array WORK. Constraint: LWORK >= max(1,3*N-2).
  • INFO — INTEGER. Exit status:
    • = 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.

Definition at line 129 of file zsytrs_aa.f.

🤖 Author 🤖

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