ZSYTRS_AA_2STAGE(3)

💖 ZSYTRS_AA_2STAGE(3) 💖

okay so bestie, welcome to the LAPACK corner of the manual pages — this one lives in the Library Functions Manual alongside its path-y friend /home/abui...aa_2stage.f(3), so buckle up 🎀

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✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zsytrs_aa_2stage.f

like, that's the whole name. yes it's a whole file path. no we're not going to shorten it. it's giving "my government name is a directory tree" and honestly? iconic 💅

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🌸 SYNOPSIS 🌸

Functions/Subroutines

subroutine ZSYTRS_AA_2STAGE (uplo, n, nrhs, a, lda, tb, ltb, ipiv,
    ipiv2, b, ldb, info)

ZSYTRS_AA_2STAGE

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🦋 Function/Subroutine Documentation 🦋

subroutine ZSYTRS_AA_2STAGE (character uplo, integer n, integer nrhs,
    complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( *
    ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * )
    ipiv2, complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZSYTRS_AA_2STAGE

💜 Purpose

!> !> ZSYTRS_AA_2STAGE 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_2STAGE. !>

so real talk: you already did the hard part with ZSYTRF_AA_2STAGE, and now this little icon comes through and actually solves A*X = B for you — complex symmetric A, factored as A = U**T*T*U or A = L*T*L**T. slay 🔥

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🎀 Parameters 🎀

• UPLO — UPLO is CHARACTER*1. it tells us whether the factorization details are chillin' as an upper or lower triangular matrix, no cap:
  • = 'U': upper triangular, form is A = U**T*T*U
  • = 'L': lower triangular, form is A = L*T*L**T
• N — N is INTEGER. the order of the matrix A. N >= 0 (yes, zero is allowed, we don't judge 🙈).
• NRHS — NRHS is INTEGER. the number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• A — A is COMPLEX*16 array, dimension (LDA,N). all the details of the factors computed by ZSYTRF_AA_2STAGE live here 💖
• LDA — LDA is INTEGER. the leading dimension of the array A. LDA >= max(1,N).
• TB — TB is COMPLEX*16 array, dimension (LTB). more details of the factors computed by ZSYTRF_AA_2STAGE — the sequel, the part two 🫶
• LTB — LTB is INTEGER. the size of the array TB. LTB >= 4*N. (four times N, she's not subtle about it.)
• IPIV — IPIV is INTEGER array, dimension (N). details of the interchanges as computed by ZSYTRF_AA_2STAGE.
• IPIV2 — IPIV2 is INTEGER array, dimension (N). details of the interchanges as computed by ZSYTRF_AA_2STAGE too. two pivot arrays, because one was simply not enough energy ✨
• B — B is COMPLEX*16 array, dimension (LDB,NRHS). on entry, the right hand side matrix B. on exit, the solution matrix X. the way it just transforms in place… main character behavior honestly 👑
• LDB — LDB is INTEGER. the leading dimension of the array B. LDB >= max(1,N).
• INFO — INFO is INTEGER, the vibe check at the end:
  • = 0: successful exit 🌈
  • < 0: if INFO = -i, the i-th argument had an illegal value 💀

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👑 Author 👑

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 137 of file zsytrs_aa_2stage.f.

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⭐ Author (again, but the meta one) ⭐

Generated automatically by Doxygen for LAPACK from the source code.

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so yeah, that's the whole page, bestie — go forth and solve your complex symmetric systems, and remember: LTB >= 4*N or it's a wrap 😭💅

LAPACK — Version 3.12.0 — /home/abui...aa_2stage.f(3) 🦋 mwah, see u in the next manpage ⭐