SRC/zsyconvf.f(3)

🦋 SRC/zsyconvf.f(3) — Library Functions Manual 💅

SRC/zsyconvf.f — that’s the name, bestie, no cap ✨

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🎀 SYNOPSIS 🎀

✨ Functions/Subroutines ✨

Functions/Subroutines
    subroutine zsyconvf (uplo, way, n, a, lda, e, ipiv, info)
        ZSYCONVF

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💖 Function/Subroutine Documentation 💖

subroutine zsyconvf (character uplo, character way, integer n, complex*16,
    dimension( lda, * ) a, integer lda, complex*16, dimension( * ) e,
    integer, dimension( * ) ipiv, integer info)
    ZSYCONVF

🧚 Purpose 🧚

If WAY = 'C', ZSYCONVF converts the factorization output format used in ZSYTRF — 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. It also converts in place details of the interchanges stored in IPIV from the format used in ZSYTRF into the format used in ZSYTRF_RK (or ZSYTRF_BK). 💫

If WAY = 'R', ZSYCONVF 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 that is stored on exit in parameter A. It also converts in place details of the interchanges stored in IPIV from the format used in ZSYTRF_RK (or ZSYTRF_BK) into the format used in ZSYTRF. 🔁

ZSYCONVF can also convert in Hermitian matrix case, i.e. between formats used in ZHETRF and ZHETRF_RK (or ZHETRF_BK). 🦋

🌈 Parameters 🌈

• UPLO — 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 — CHARACTER*1
  • = 'C': Convert ✨
  • = 'R': Revert 🔁
• N — INTEGER — the order of the matrix A. N >= 0. 🌟
• A — COMPLEX*16 array, dimension (LDA,N)
  • 1) If WAY ='C':
    • On entry, contains factorization details in format used in ZSYTRF:
      • 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:
      • 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 — INTEGER — the leading dimension of the array A. LDA >= max(1,N) 💖
• E — 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 — 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 ZSYTRF. On exit, details of the interchanges and the block structure of D in the format used in ZSYTRF_RK ( or ZSYTRF_BK). 🔄
  • 1) If WAY ='R': On entry, details of the interchanges and the block structure of D in the format used in ZSYTRF_RK ( or ZSYTRF_BK). On exit, details of the interchanges and the block structure of D in the format used in ZSYTRF. 🔄

yes bestie, the source labels both of those as 1) — keeping the lore intact 🫶

• INFO — INTEGER
  • = 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.

🫶 Contributors: 🫶

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

Definition at line 208 of file zsyconvf.f. 📍

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📝 Author 📝

Generated automatically by Doxygen for LAPACK from the source code. 🤖💖

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That’s the whole page, bestie — LAPACK Version 3.12.0, source SRC/zsyconvf.f(3), with that November 2017 contributor date tucked up above. Byeee! 🎀🦋💅