ZSYT02(3)

🌸 NAME 🌸

okay so bestie, this is the zsyt02.f(3) page from the Library Functions Manual, and the NAME section is literally this path:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zsyt02.f

and the main character is ZSYT02 💅

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✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine ZSYT02 — (uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid) — yes bestie, that's the whole call signature, no cap.
• ZSYT02 — the name again, because Doxygen said so 🫶

subroutine ZSYT02 (uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)

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💖 Function/Subroutine Documentation 💖

subroutine ZSYT02

full signature, copied exactly because we do not play with code:

subroutine ZSYT02 (character uplo, integer n, integer nrhs, complex*16,
     dimension( lda, * ) a, integer lda, complex*16, dimension( ldx, * ) x,
     integer ldx, complex*16, dimension( ldb, * ) b, integer ldb, double
     precision, dimension( * ) rwork, double precision resid)

ZSYT02

Purpose:

okay so ZSYT02 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 little math moment, periodt ✨

Parameters

• UPLO — CHARACTER*1. Specifies whether the upper or lower triangular part of the symmetric matrix A is stored: = 'U': Upper triangular; = 'L': Lower triangular. iconic little switch 💅
• N — INTEGER. The number of rows and columns of the matrix A. N >= 0. 🎀
• NRHS — INTEGER. The number of columns of B, the matrix of right hand sides. NRHS >= 0.
• A — COMPLEX*16 array, dimension (LDA,N). The original complex symmetric matrix A.
• LDA — INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• X — COMPLEX*16 array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations.
• LDX — INTEGER. The leading dimension of the array X. LDX >= max(1,N).
• B — COMPLEX*16 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. lowkey important 🫶
• LDB — INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• RWORK — DOUBLE PRECISION array, dimension (N).
• RESID — DOUBLE PRECISION. 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

Definition at line 125 of file zsyt02.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, final sign-off time 🫶: the footer/source-version line says LAPACK Version 3.12.0, and the page path is /home/abui...IN/zsyt02.f(3). There is no date printed in this footer, so I'm not inventing one — we keep the facts cute and correct, periodt 💖