CSYT03(3)

🦋 NAME 🦋

okay so bestie, this is the Library Functions Manual page for csyt03.f — the header vibe is /home/abui...IN/csyt03.f(3). The NAME line is literally this exact path:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/csyt03.f

That's the whole NAME section, no cap. 🎀

---

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

       subroutine CSYT03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork,
           rcond, resid)

CSYT03 — yes, that's the subroutine name again. 💅

---

💖 Function/Subroutine Documentation 💖

   subroutine CSYT03 (character uplo, integer n, complex, dimension( lda, * )
       a, integer lda, complex, dimension( ldainv, * ) ainv, integer ldainv,
       complex, dimension( ldwork, * ) work, integer ldwork, real, dimension( *
       ) rwork, real rcond, real resid)

CSYT03 — it's giving "I am the documentation and also the name," iconic. ✨

🌸 Purpose 🌸

CSYT03 computes the residual for a complex symmetric matrix times its inverse:

norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS )

where EPS is the machine epsilon. Obsessed with a clean residual, honestly. 💜

🍓 Parameters 🍓

• UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the complex symmetric matrix A is stored:
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• N — N is INTEGER. The number of rows and columns of the matrix A. N >= 0.
• A — A is COMPLEX array, dimension (LDA,N). The original complex symmetric matrix A.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• AINV — AINV is COMPLEX array, dimension (LDAINV,N). On entry, the inverse of the matrix A, stored as a symmetric matrix in the same format as A. In this version, AINV is expanded into a full matrix and multiplied by A, so the opposing triangle of AINV will be changed; i.e., if the upper triangular part of AINV is stored, the lower triangular part will be used as work space. ⚠️ so yes, it gets scribbled on, bestie.
• LDAINV — LDAINV is INTEGER. The leading dimension of the array AINV. LDAINV >= max(1,N).
• WORK — WORK is COMPLEX array, dimension (LDWORK,N).
• LDWORK — LDWORK is INTEGER. The leading dimension of the array WORK. LDWORK >= max(1,N).
• RWORK — RWORK is REAL array, dimension (N).
• RCOND — RCOND is REAL. The reciprocal of the condition number of A, computed as

RCOND = 1/ (norm(A) * norm(AINV)).

• RESID — RESID is REAL.

norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )

👑 Author 👑

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

Definition at line 124 of file csyt03.f. 📍

---

🌈 Author 🌈

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

---

and the cute little footer sign-off is: LAPACK — Version 3.12.0 — /home/abui...IN/csyt03.f(3). There's no separate date hanging out in the footer, just that source/version/path combo at the very end, mwah 💋🎀