CSYT02(3)

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/csyt02.f

Okay bestie, this is the manual entry for that file, and it's from the Library Functions Manual — yes, the whole csyt02.f(3) situation. 💅

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

       subroutine CSYT02 (uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
           CSYT02

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🛠️ Function/Subroutine Documentation 🛠️

   subroutine CSYT02 (character uplo, integer n, integer nrhs, complex,
       dimension( lda, * ) a, integer lda, complex, dimension( ldx, * ) x,
       integer ldx, complex, dimension( ldb, * ) b, integer ldb, real,
       dimension( * ) rwork, real resid)
       CSYT02

🎯 Purpose 🎯

Bestie, CSYT02 computes the residual for a solution to a complex symmetric system of linear equations A*x = b:

RESID = norm(B - A*X) / ( norm(A) * norm(X) * EPS ),

where EPS is the machine epsilon. That's the whole residual-check moment, no cap. ✨

🌈 Parameters 🌈

• UPLO — UPLO is CHARACTER*1. It specifies whether the upper or lower triangular part of the 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.
• NRHS — NRHS is INTEGER. The number of columns of B, the matrix of right hand sides. NRHS >= 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)
• X — X is COMPLEX array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations.
• LDX — LDX is INTEGER. The leading dimension of the array X. LDX >= max(1,N).
• B — B is COMPLEX array, dimension (LDB,NRHS). On entry, the right hand side vectors for the system of linear equations. On exit, B is overwritten with the difference B - A*X.

Heads up, bestie: on exit, B is literally overwritten with B - A*X — don't expect your original B to survive. 💀

• LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• RWORK — RWORK is REAL array, dimension (N).
• RESID — RESID is REAL. The maximum over the number of right hand sides of norm(B - A*X) / ( norm(A) * norm(X) * EPS ).

👑 Author 👑

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

Definition at line 125 of file csyt02.f.

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💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code.

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Okay bestie, footer check: this is LAPACK Version 3.12.0, and the page path is /home/abui...IN/csyt02.f(3). That's the source/version footer vibe, and we're out — periodt. 🫶✨